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Occ. Med. Offers Staff Flu Vaccines by Appointment Occupational Medicine is now accepting appointments from Jefferson Lab staff for Influenza vaccinations. If you would like to be...
Nonlinear models Nonlinear Regression
Penny, Will
Nonlinear models Will Penny Nonlinear Regression Nonlinear Regression Priors Energies Posterior Metropolis-Hasting Proposal density References Nonlinear models Will Penny Bayesian Inference Course, WTCN, UCL, March 2013 #12;Nonlinear models Will Penny Nonlinear Regression Nonlinear Regression Priors
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Stationary nonlinear Airy beams
Lotti, A.; Faccio, D.; Couairon, A.; Papazoglou, D. G.; Panagiotopoulos, P.; Tzortzakis, S.; Abdollahpour, D.
2011-08-15
We demonstrate the existence of an additional class of stationary accelerating Airy wave forms that exist in the presence of third-order (Kerr) nonlinearity and nonlinear losses. Numerical simulations and experiments, in agreement with the analytical model, highlight how these stationary solutions sustain the nonlinear evolution of Airy beams. The generic nature of the Airy solution allows extension of these results to other settings, and a variety of applications are suggested.
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Reconstruction of nonlinear wave propagation
Fleischer, Jason W; Barsi, Christopher; Wan, Wenjie
2013-04-23
Disclosed are systems and methods for characterizing a nonlinear propagation environment by numerically propagating a measured output waveform resulting from a known input waveform. The numerical propagation reconstructs the input waveform, and in the process, the nonlinear environment is characterized. In certain embodiments, knowledge of the characterized nonlinear environment facilitates determination of an unknown input based on a measured output. Similarly, knowledge of the characterized nonlinear environment also facilitates formation of a desired output based on a configurable input. In both situations, the input thus characterized and the output thus obtained include features that would normally be lost in linear propagations. Such features can include evanescent waves and peripheral waves, such that an image thus obtained are inherently wide-angle, farfield form of microscopy.
Sandia Energy - Nonlinear Laser Spectroscopy
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Nonlinear Laser Spectroscopy Home Transportation Energy Predictive Simulation of Engines Diagnostics Gas-Phase Diagnostics Nonlinear Laser Spectroscopy Nonlinear Laser...
Formed photovoltaic module busbars
Rose, Douglas; Daroczi, Shan; Phu, Thomas
2015-11-10
A cell connection piece for a photovoltaic module is disclosed herein. The cell connection piece includes an interconnect bus, a plurality of bus tabs unitarily formed with the interconnect bus, and a terminal bus coupled with the interconnect bus. The plurality of bus tabs extend from the interconnect bus. The terminal bus includes a non-linear portion.
NONLINEAR OPTICS AT INTERFACES
Chen, Chenson K.
2010-01-01
N. Bloembergen, Nonlinear Optics (W. A. Benjamin, 1977) p.Research Division NONLINEAR OPTICS AT INTERFACES Chenson K.ED LBL-12084 NONLINEAR OPTICS AT INTERFACES Chenson K. Chen
Graphene Nanobubble: A New Optical Nonlinear Material
Bao, Qiaoliang; Xiang, Yuanjiang; Zhang, Kai; Li, Shaojuan; Jiang, Xiaofang; Xu, Qing-Hua; Loh, Kian Ping; Venkatesan, T
2015-01-01
Graphene is a rising star in nonlinear optics due to its saturable absorption and giant Kerr nonlinearity, these properties are useful in digital optics based on optical nonlinear devices. However, practical applications require large optical nonlinearities and these are inherently limited by the interaction length of atomically thin graphene. Here, we demonstrate optical bistability in a Fabry Perot cavity containing monolayer and bilayer graphene which have been restructured to form nanobubbles. We find that graphene nanobubble can act as a new type of optical nonlinear media due to its vertical side wall as well as added curvature, which enable strong non linear dispersive effects leading to a large optically induced phase change. Unlike thermally induced bistability, the all optical switching between two transmission states happens within a time scale of tens of nanoseconds. Nanobubble based optical devices with intrinsic optical nonlinearity help to overcome the optical path length limitation of atomical...
Barus, R. P. P.; Tjokronegoro, H. A.; Leksono, E.; Ismunandar
2014-09-25
Fuel cells are promising new energy conversion devices that are friendly to the environment. A set of control systems are required in order to operate a fuel cell based power plant system optimally. For the purpose of control system design, an accurate fuel cell stack model in describing the dynamics of the real system is needed. Currently, linear model are widely used for fuel cell stack control purposes, but it has limitations in narrow operation range. While nonlinear models lead to nonlinear control implemnetation whos more complex and hard computing. In this research, nonlinear cancellation technique will be used to transform a nonlinear model into a linear form while maintaining the nonlinear characteristics. The transformation is done by replacing the input of the original model by a certain virtual input that has nonlinear relationship with the original input. Then the equality of the two models is tested by running a series of simulation. Input variation of H2, O2 and H2O as well as disturbance input I (current load) are studied by simulation. The error of comparison between the proposed model and the original nonlinear model are less than 1 %. Thus we can conclude that nonlinear cancellation technique can be used to represent fuel cell nonlinear model in a simple linear form while maintaining the nonlinear characteristics and therefore retain the wide operation range.
Eigen Equation of the Nonlinear Spinor
Ying-Qiu Gu; Ta-tsien Li
2007-04-04
How to effectively solve the eigen solutions of the nonlinear spinor field equation coupling with some other interaction fields is important to understand the behavior of the elementary particles. In this paper, we derive a simplified form of the eigen equation of the nonlinear spinor, and then propose a scheme to solve their numerical solutions. This simplified equation has elegant and neat structure, which is more convenient for both theoretical analysis and numerical computation.
Shen, Y.R.
2010-01-01
B. de Castro, and Y. R. Shen, Optics Lett. i, 393 See, for3, 1980 SURFACE NONLINEAR OPTICS Y.R. Shen, C.K. Chen, andde Janiero SURFRACE NONLINEAR OPTICS Y. R. Shen, C. K. Chen,
Nonlinear Hysteretic Torsional Waves
J. Cabaret; P. Béquin; G. Theocharis; V. Andreev; V. E. Gusev; V. Tournat
2015-01-09
We theoretically study and experimentally report the propagation of nonlinear hysteretic torsional pulses in a vertical granular chain made of cm-scale, self-hanged magnetic beads. As predicted by contact mechanics, the torsional coupling between two beads is found nonlinear hysteretic. This results in a nonlinear pulse distortion essentially different from the distortion predicted by classical nonlinearities, and in a complex dynamic response depending on the history of the wave particle angular velocity. Both are consistent with the predictions of purely hysteretic nonlinear elasticity and the Preisach-Mayergoyz hysteresis model, providing the opportunity to study the phenomenon of nonlinear dynamic hysteresis in the absence of other type of material nonlinearities. The proposed configuration reveals a plethora of interesting phenomena including giant amplitude-dependent attenuation, short term memory as well as dispersive properties. Thus, it could find interesting applications in nonlinear wave control devices such as strong amplitude-dependent filters.
Nonlinear multiferroic phase shifters for microwave frequencies
Ustinov, Alexey B.; Kalinikos, Boris A. [Department of Physical Electronics and Technology, St. Petersburg Electrotechnical University, St. Petersburg 197376 (Russian Federation); Srinivasan, G. [Department of Physics, Oakland University, Rochester, Michigan 48309 (United States)
2014-02-03
A nonlinear microwave phase shifter based on a planar multiferroic composite has been studied. The multiferroic structure is fabricated in the form of a bilayer consisting of yttrium iron garnet and barium strontium titanate. The principle of operation of the device is based on the linear and nonlinear control of the phase shift of the hybrid spin-electromagnetic waves propagating in the bilayer. The linear control is realized with magnetic and electric fields. The nonlinear control is provided by the input power of microwave signal. The device showed a nonlinear phase shift up to 250°, electric field induced phase shift up to 330°, and magnetic field induced phase shift of more than 180°.
Nonlinear Circuit Analysis An Introduction 1. Why nonlinear circuits?
Hart, Gus
Nonlinear Circuit Analysis An Introduction 1. Why nonlinear circuits? Electrical devices: the oscillator. 2. What is a nonlinear circuit? It is easy to understand the difference between a linear and a nonlinear circuit by looking at the difference between a linear and a nonlinear equation: y x ¡ 2 (1) y
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Shock wave in Euler - Heisenberg - Köckel nonlinear vacuum
Lubomir M. Kovachev; Daniela A. Georgieva; Kamen L. Kovachev
2014-09-05
An analytical approach to the theory of electromagnetic waves in nonlinear vacuum is developed. The evolution of the pulse is governed by a system of nonlinear wave vector equations. Exact solution with own angular momentum in form of a shock wave is obtained.
NONLINEAR OPTICS AT INTERFACES
Chen, Chenson K.
2010-01-01
Surface Plasmons at a Metal-Dielectric Interface . . . .Plasmons at Metal-Dielectric Interfaces . . . . A. GeneralNONLINEAR OPTICS AT INTERFACES Chenson K. Chen (Ph.D.
Spherical Wave Propagation in a Nonlinear Elastic Medium
Korneev, Valeri A.
2009-07-01
Nonlinear propagation of spherical waves generated by a point-pressure source is considered for the cases of monochromatic and impulse primary waveforms. The nonlinear five-constant elastic theory advanced by Murnaghan is used where general equations of motion are put in the form of vector operators, which are independent of the coordinate system choice. The ratio of the nonlinear field component to the primary wave in the far field is proportional to ln(r) where r is a propagation distance. Near-field components of the primary field do not contribute to the far field of nonlinear component.
Nonlinear extension of the CCFM equation
Krzysztof Kutak
2012-06-06
In order to study such effects like parton saturation in final states at the LHC one of the approaches is to combine physics of the BK and the CCFM evolution equations. We report on recently obtained resummed form of the BK equation and nonlinear extension of the CCFM equation.
Optimization Online - Nonlinear Optimization Submissions - 2014
Nonlinear Optimization Submissions - 2014. January 2014. Constrained Nonlinear Optimization New active set identification for general constrained ...
Nonlinear plasma wave in magnetized plasmas
Bulanov, Sergei V.; Prokhorov Institute of General Physics, Russian Academy of Sciences, Moscow 119991; Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region 141700 ; Esirkepov, Timur Zh.; Kando, Masaki; Koga, James K.; Hosokai, Tomonao; Zhidkov, Alexei G.; Japan Science and Technology Agency, CREST, 2-1, Yamadaoka, Suita, Osaka 565-0871 ; Kodama, Ryosuke; Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871
2013-08-15
Nonlinear axisymmetric cylindrical plasma oscillations in magnetized collisionless plasmas are a model for the electron fluid collapse on the axis behind an ultrashort relativisically intense laser pulse exciting a plasma wake wave. We present an analytical description of the strongly nonlinear oscillations showing that the magnetic field prevents closing of the cavity formed behind the laser pulse. This effect is demonstrated with 3D PIC simulations of the laser-plasma interaction. An analysis of the betatron oscillations of fast electrons in the presence of the magnetic field reveals a characteristic “Four-Ray Star” pattern.
Thomas G. Wong
2015-06-14
Although quant mech is linear, there are nevertheless quant sys with multiple interacting particles in which the effective evo of a single particle is governed by a nonlinear eq. This includes Bose-Einstein condensates, which are gov by the Gross-Pitaevskii eq (GPE), which is a cubic nonlin Schrodinger eq (NLSE) with a term propto $|\\psi|^2\\psi$. Evo by this eq solves the unstruct search prob in const time, but at the novel expense of increasing the time-measurement precision. Jointly optimizing these resources results in an overall scaling of $N^{1/4}$, which is a significant, but not unreasonable, improvement over the $N^{1/2}$ scaling of Grover's algo. Since the GPE effectively approx the multi-particle Schrodinger eq, for which Grover's algo is optimal, our result leads to a quant info-theoretic bound on the num of particles needed for this approx to hold, asymp. The GPE is not the only nonlin of the form $f(|\\psi|^2)\\psi$ that arises in effective eqs for the evo of real quant phys sys, however: The cubic-quintic NLSE describes light propagation in nonlin Kerr media with defocusing corrections, and the log NLSE describes Bose liquids under certain cond. Analysis of comput with such sys yields some surprising results; e.g., when time-measurement precision is included in the resource accounting, searching a "database" when there is a single correct ans may be easier than searching when there are multiple correct ans. These results lead to quant info-theoretic bounds on the phys resources required for these effective nonlin theories to hold, asymp. Further, strongly reg graphs, which have no global sym, are sufficiently complete for quant search on them to asymp behave like unstruct search. Certain suff complete graphs retain the improved runtime and resource scalings for some nonlin, so our scheme for nonlin, analog quant comput retains its benefits even when some struct is introduced.
George Svetlichny
2006-02-01
Nonlinear quantum mechanics at the Planck scale can produce nonlocal effects contributing to resolution of singularities, to cosmic acceleration, and modified black-hole dynamics, while avoiding the usual causality issues.
Lyapunov functions nonlinear spaces
Hafstein, Sigurður Freyr
Lyapunov functions on nonlinear spaces R. Sepulchre -- University of Liege, Belgium Reykjavik - July 2013 Constructing Lyapunov functions: a personal journey · Lyap functions in linear spaces (1994: homogeneous spaces with flat, positive, and negative curvature) Lyapunov functions in linear spaces 3
Nonlinear extraordinary wave in dense plasma
Krasovitskiy, V. B., E-mail: krasovit@mail.ru [Russian Academy of Sciences, Keldysh Institute of Applied Mathematics (Russian Federation); Turikov, V. A. [Russian University of Peoples’ Friendship (Russian Federation)] [Russian University of Peoples’ Friendship (Russian Federation)
2013-10-15
Conditions for the propagation of a slow extraordinary wave in dense magnetized plasma are found. A solution to the set of relativistic hydrodynamic equations and Maxwell’s equations under the plasma resonance conditions, when the phase velocity of the nonlinear wave is equal to the speed of light, is obtained. The deviation of the wave frequency from the resonance frequency is accompanied by nonlinear longitudinal-transverse oscillations. It is shown that, in this case, the solution to the set of self-consistent equations obtained by averaging the initial equations over the period of high-frequency oscillations has the form of an envelope soliton. The possibility of excitation of a nonlinear wave in plasma by an external electromagnetic pulse is confirmed by numerical simulations.
Nonlinear propagation and control of acoustic waves in phononic superlattices
Jiménez, Noé; Picó, Rubén; García-Raffi, Lluís M; Sánchez-Morcillo, Víctor J
2015-01-01
The propagation of intense acoustic waves in a one-dimensional phononic crystal is studied. The medium consists in a structured fluid, formed by a periodic array of fluid layers with alternating linear acoustic properties and quadratic nonlinearity coefficient. The spacing between layers is of the order of the wavelength, therefore Bragg effects such as band-gaps appear. We show that the interplay between strong dispersion and nonlinearity leads to new scenarios of wave propagation. The classical waveform distortion process typical of intense acoustic waves in homogeneous media can be strongly altered when nonlinearly generated harmonics lie inside or close to band gaps. This allows the possibility of engineer a medium in order to get a particular waveform. Examples of this include the design of media with effective (e.g. cubic) nonlinearities, or extremely linear media (where distortion can be cancelled). The presented ideas open a way towards the control of acoustic wave propagation in nonlinear regime.
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Nonlinear Elasticity in Biological Gels
Cornelis Storm; Jennifer J. Pastore; Fred C. MacKintosh; Tom C. Lubensky; Paul A. Janmey
2004-06-01
Unlike most synthetic materials, biological materials often stiffen as they are deformed. This nonlinear elastic response, critical for the physiological function of some tissues, has been documented since at least the 19th century, but the molecular structure and the design principles responsible for it are unknown. Current models for this response require geometrically complex ordered structures unique to each material. In this Article we show that a much simpler molecular theory accounts for strain stiffening in a wide range of molecularly distinct biopolymer gels formed from purified cytoskeletal and extracellular proteins. This theory shows that systems of semi-flexible chains such as filamentous proteins arranged in an open crosslinked meshwork invariably stiffen at low strains without the need for a specific architecture or multiple elements with different intrinsic stiffnesses.
Lu, Jen-Tang; Fleischer, Jason W
2015-01-01
Nonlinear imaging systems can surpass the limits of linear optics, but to date they have all relied on physical media (e.g. crystals) to work. These materials are all constrained by their physical properties, such as frequency selectivity, environmental sensitivity, time behavior, and fixed nonlinear response. Here, we show that electro-optic spatial light modulators (SLMs) can take the place of traditional nonlinear media, provided that there is a feedback between the shape of the object and the pattern on the modulator. This feedback creates a designer illumination that generalizes the field of adaptive optics to include object-dependent patterns. Unlike physical media, the SLM response can provide arbitrary mathematical functions, operate over broad bandwidths at high speeds, and work equally well at high power and single-photon levels. We demonstrate the method experimentally for both coherent and incoherent light.
Nonlinearly driven harmonics of Alfvén modes
Zhang, B., E-mail: bozhang@austin.utexas.edu; Breizman, B. N.; Zheng, L. J.; Berk, H. L. [Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)] [Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)
2014-01-15
In order to study the leading order nonlinear magneto-hydrodynamic (MHD) harmonic response of a plasma in realistic geometry, the AEGIS code has been generalized to account for inhomogeneous source terms. These source terms are expressed in terms of the quadratic corrections that depend on the functional form of a linear MHD eigenmode, such as the Toroidal Alfvén Eigenmode. The solution of the resultant equation gives the second order harmonic response. Preliminary results are presented here.
Nonlinear compressions in merging plasma jets
Messer, S.; Case, A.; Wu, L.; Brockington, S.; Witherspoon, F. D.
2013-03-15
We investigate the dynamics of merging supersonic plasma jets using an analytic model. The merging structures exhibit supersonic, nonlinear compressions which may steepen into full shocks. We estimate the distance necessary to form such shocks and the resulting jump conditions. These theoretical models are compared to experimental observations and simulated dynamics. We also use those models to extrapolate behavior of the jet-merging compressions in a Plasma Jet Magneto-Inertial Fusion reactor.
Tunable nonlinear graphene metasurfaces
Smirnova, Daria A; Kivshar, Yuri S; Khanikaev, Alexander B
2015-01-01
We introduce the concept of nonlinear graphene metasurfaces employing the controllable interaction between a graphene layer and a planar metamaterial. Such hybrid metasurfaces support two types of subradiant resonant modes, asymmetric modes of structured metamaterial elements ("metamolecules") and graphene plasmons exhibiting strong mutual coupling and avoided dispersion crossing. High tunability of graphene plasmons facilitates strong interaction between the subradiant modes, modifying the spectral position and lifetime of the associated Fano resonances. We demonstrate that strong resonant interaction, combined with the subwavelength localization of plasmons, leads to the enhanced nonlinear response and high efficiency of the second-harmonic generation.
Completeness is Unnecessary for Fast Nonlinear Quantum Search
David A. Meyer; Thomas G. Wong
2015-02-22
Although strongly regular graphs and the hypercube are not complete, they are "sufficiently complete" such that a randomly walking quantum particle asymptotically searches on them in the same $\\Theta(\\sqrt{N})$ time as on the complete graph, the latter of which is precisely Grover's algorithm. We show that physically realistic nonlinearities of the form $f(|\\psi|^2)\\psi$ can speed up search on sufficiently complete graphs, depending on the nonlinearity and graph. Thus nonlinear (quantum) computation can retain its power even when a degree of noncompleteness is introduced.
Spatiotemporal electromagnetic soliton and spatial ring formation in nonlinear metamaterials
Zhang Jinggui; Wen Shuangchun; Xiang Yuanjiang; Wang Youwen; Luo Hailu [Key Laboratory for Micro/Nano Optoelectronic Devices of Ministry of Education, School of Computer and Communication, Hunan University, Changsha 410082 (China)
2010-02-15
We present a systematic investigation of ultrashort electromagnetic pulse propagation in metamaterials (MMs) with simultaneous cubic electric and magnetic nonlinearity. We predict that spatiotemporal electromagnetic solitons may exist in the positive-index region of a MM with focusing nonlinearity and anomalous group velocity dispersion (GVD), as well as in the negative-index region of the MM with defocusing nonlinearity and normal GVD. The experimental circumstances for generating and manipulating spatiotemporal electromagnetic solitons can be created by elaborating appropriate MMs. In addition, we find that, in the negative-index region of a MM, a spatial ring may be formed as the electromagnetic pulse propagates for focusing nonlinearity and anomalous GVD; while the phenomenon of temporal splitting of the electromagnetic pulse may appear for the same case except for the defocusing nonlinearity. Finally, we demonstrate that the nonlinear magnetization makes the sign of effective electric nonlinear effect switchable due to the combined action of electric and magnetic nonlinearity, exerting a significant influence on the propagation of electromagnetic pulses.
Nonlinear estimation of water network demands form limited measurement information
Rabie, Ahmed Ibrahim El Said
2009-05-15
such as the requirement to meet the new dynamic regulations in the Safe Drinking Water Act and the Clean Water Act. This includes providing sufficient capacity to satisfy uncertain and changing water demands, maintaining consistent water quality, and identifying...
Intramolecular and nonlinear dynamics
Davis, M.J. [Argonne National Laboratory, IL (United States)
1993-12-01
Research in this program focuses on three interconnected areas. The first involves the study of intramolecular dynamics, particularly of highly excited systems. The second area involves the use of nonlinear dynamics as a tool for the study of molecular dynamics and complex kinetics. The third area is the study of the classical/quantum correspondence for highly excited systems, particularly systems exhibiting classical chaos.
Metamaterials with conformational nonlinearity
Metamaterials with conformational nonlinearity Mikhail Lapine1,2 , Ilya V. Shadrivov1,2 , David A development, metamaterials became a prominent area of research, bridging theoretical and applied electrodynamics, electrical engineering and material science. Being man-made structures, metamaterials offer
Universal nonlinear entanglement witnesses
Kotowski, Marcin; Kotowski, Michal [College of Inter-Faculty Individual Studies in Mathematics and Natural Sciences, Warsaw University, PL-Warszawa (Poland); Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/44, PL-02-668 Warszawa (Poland); Kus, Marek [Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/44, PL-02-668 Warszawa (Poland)
2010-06-15
We give a universal recipe for constructing nonlinear entanglement witnesses able to detect nonclassical correlations in arbitrary systems of distinguishable and/or identical particles for an arbitrary number of constituents. The constructed witnesses are expressed in terms of expectation values of observables. As such, they are, at least in principle, measurable in experiments.
Nonlinear regression Gordon K. Smyth
Smyth, Gordon K.
Nonlinear regression Gordon K. Smyth Volume 3, pp 14051411 in Encyclopedia of Environmetrics (ISBN, 2002 #12;Nonlinear regression The basic idea of nonlinear regression is the same as that of linear regression, namely to relate a response Y to a vector of predictor variables x D x1, . . . , xk T (see Linear
Colloquium: Nonlinear metamaterials Mikhail Lapine
Colloquium: Nonlinear metamaterials Mikhail Lapine Centre for Ultrahigh-bandwidth Devices) This Colloquium presents an overview of the research on nonlinear electromagnetic metamaterials. The developed phenomena available with nonlinear metamaterials. DOI: 10.1103/RevModPhys.86.1093 PACS numbers: 81.05.Xj, 78
Nonlinear chemical dynamics Francesc Sagusa
Epstein, Irving R.
Nonlinear chemical dynamics Francesc Saguésa and Irving R. Epsteinb a Departament de Química Física March 2003 The interdisciplinary field of nonlinear chemical dynamics has grown significantly in breadth an overview of some of the key results of nonlinear chemical dynamics, with emphasis on those areas most
Optical Theorem in Nonlinear Media
Li, Wei
2015-01-01
We consider the optical theorem for scattering of electromagnetic waves in nonlinear media. This result is used to obtain the power extinguished from a field by a nonlinear scatterer. The cases of second harmonic generation and the Kerr effect are studied in some detail. Applications to nonlinear apertureless scanning near-field optical microscopy are considered.
ARTICLE IN PRESS Nonlinear Analysis ( )
47J25 47J35 Keywords: Nonlinear inequality Dynamical systems method (DSM) Stability a b s t r a c to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear in a study of the Dynamical Systems Method (DSM) for solving nonlinear equations of the type F(u) = f , where
Coupled Oscillator Model for Nonlinear Gravitational Perturbations
Huan Yang; Fan Zhang; Stephen R. Green; Luis Lehner
2015-04-07
Motivated by the gravity/fluid correspondence, we introduce a new method for characterizing nonlinear gravitational interactions. Namely we map the nonlinear perturbative form of the Einstein equation to the equations of motion of a collection of nonlinearly-coupled harmonic oscillators. These oscillators correspond to the quasinormal or normal modes of the background spacetime. We demonstrate the mechanics and the utility of this formalism within the context of perturbed asymptotically anti-de Sitter black brane spacetimes. We confirm in this case that the boundary fluid dynamics are equivalent to those of the hydrodynamic quasinormal modes of the bulk spacetime. We expect this formalism to remain valid in more general spacetimes, including those without a fluid dual. In other words, although borne out of the gravity/fluid correspondence, the formalism is fully independent and it has a much wider range of applicability. In particular, as this formalism inspires an especially transparent physical intuition, we expect its introduction to simplify the often highly technical analytical exploration of nonlinear gravitational dynamics.
Solitons and vortices in nonlinear potential wells
Dror, Nir
2015-01-01
We consider self-trapping of topological modes governed by the one- and two-dimensional (1D and 2D) nonlinear-Schrodinger/Gross-Pitaevskii equation with effective single- and double-well (DW) nonlinear potentials induced by spatial modulation of the local strength of the self-defocusing nonlinearity. This setting, which may be implemented in optics and Bose-Einstein condensates, aims to extend previous studies, which dealt with single-well nonlinear potentials. In the 1D setting, we find several types of symmetric, asymmetric and antisymmetric states, focusing on scenarios of the spontaneous symmetry breaking. The single-well model is extended by including rocking motion of the well, which gives rise to Rabi oscillations between the fundamental and dipole modes. Analysis of the 2D single-well setting gives rise to stable modes in the form of ordinary dipoles, vortex-antivortex dipoles (VADs), and vortex triangles (VTs), which may be considered as produced by spontaneous breaking of the axial symmetry. The con...
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Nonlinear terahertz superconducting plasmonics
Wu, Jingbo; Liang, Lanju; Jin, Biaobing E-mail: tonouchi@ile.osaka-u.ac.jp Kang, Lin; Xu, Weiwei; Chen, Jian; Wu, Peiheng E-mail: tonouchi@ile.osaka-u.ac.jp; Zhang, Caihong; Kawayama, Iwao; Murakami, Hironaru; Tonouchi, Masayoshi E-mail: tonouchi@ile.osaka-u.ac.jp; Wang, Huabing
2014-10-20
Nonlinear terahertz (THz) transmission through subwavelength hole array in superconducting niobium nitride (NbN) film is experimentally investigated using intense THz pulses. The good agreement between the measurement and numerical simulations indicates that the field strength dependent transmission mainly arises from the nonlinear properties of the superconducting film. Under weak THz pulses, the transmission peak can be tuned over a frequency range of 145 GHz which is attributed to the high kinetic inductance of 50?nm-thick NbN film. Utilizing the THz pump-THz probe spectroscopy, we study the dynamic process of transmission spectra and demonstrate that the transition time of such superconducting plasmonic device is within 5 ps.
Normal form approach for dispersive equations with low-regularity data
Oh, Seungly
2012-01-01
In this dissertation, we examine applications of the normal form technique to nonlinear dispersive equations with rough initial data. Working within the framework of Bourgain spaces, the normal form method often produces ...
Soliton generation in active nonlinear metamaterials Alexander B. Kozyrev,1,2
Soliton generation in active nonlinear metamaterials Alexander B. Kozyrev,1,2 Ilya V. Shadrivov,1 generation in nonlinear active metamaterials. Our meta-structure consists of a ring resonator formed dynamics, including the generation of envelope solitons being realized only for the backward-wave regime
Catalog Entry for PHYS 522: NONLINEAR OPTICS PHYS 522 (3) Nonlinear Optics (3)
Akerib, Daniel S.
Catalog Entry for PHYS 522: NONLINEAR OPTICS PHYS 522 (3) Nonlinear Optics (3) Classical and propagation. Properties of optical fibers and nonlinear materials. Theory of nonlinear propagation, solitons, inverse scattering transforms, optical chaos. Applications to lasers, optical violability, self
Nonlinear simulations to optimize magnetic nanoparticle hyperthermia
Reeves, Daniel B. Weaver, John B.
2014-03-10
Magnetic nanoparticle hyperthermia is an attractive emerging cancer treatment, but the acting microscopic energy deposition mechanisms are not well understood and optimization suffers. We describe several approximate forms for the characteristic time of Néel rotations with varying properties and external influences. We then present stochastic simulations that show agreement between the approximate expressions and the micromagnetic model. The simulations show nonlinear imaginary responses and associated relaxational hysteresis due to the field and frequency dependencies of the magnetization. This suggests that efficient heating is possible by matching fields to particles instead of resorting to maximizing the power of the applied magnetic fields.
Model reduction of systems with localized nonlinearities.
Segalman, Daniel Joseph
2006-03-01
An LDRD funded approach to development of reduced order models for systems with local nonlinearities is presented. This method is particularly useful for problems of structural dynamics, but has potential application in other fields. The key elements of this approach are (1) employment of eigen modes of a reference linear system, (2) incorporation of basis functions with an appropriate discontinuity at the location of the nonlinearity. Galerkin solution using the above combination of basis functions appears to capture the dynamics of the system with a small basis set. For problems involving small amplitude dynamics, the addition of discontinuous (joint) modes appears to capture the nonlinear mechanics correctly while preserving the modal form of the predictions. For problems involving large amplitude dynamics of realistic joint models (macro-slip), the use of appropriate joint modes along with sufficient basis eigen modes to capture the frequencies of the system greatly enhances convergence, though the modal nature the result is lost. Also observed is that when joint modes are used in conjunction with a small number of elastic eigen modes in problems of macro-slip of realistic joint models, the resulting predictions are very similar to those of the full solution when seen through a low pass filter. This has significance both in terms of greatly reducing the number of degrees of freedom of the problem and in terms of facilitating the use of much larger time steps.
Theory of second harmonic generation in composites of nonlinear dielectrics
Stroud, David
dijkEjEj ,i x,y,z, 1 where Di (Ei) is the ith component of the displacement electric field D (E a (b). Similarly, the second-order nonlinear sus- ceptibility tensor dijk takes the form dijk a or dijk
Topological horseshoes in travelling waves of discretized nonlinear wave equations
Chen, Yi-Chiuan, E-mail: YCChen@math.sinica.edu.tw [Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan (China)] [Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan (China); Chen, Shyan-Shiou, E-mail: sschen@ntnu.edu.tw [Department of Mathematics, National Taiwan Normal University, Taipei 11677, Taiwan (China)] [Department of Mathematics, National Taiwan Normal University, Taipei 11677, Taiwan (China); Yuan, Juan-Ming, E-mail: jmyuan@pu.edu.tw [Department of Financial and Computational Mathematics, Providence University, Shalu, Taichung 43301, Taiwan (China)] [Department of Financial and Computational Mathematics, Providence University, Shalu, Taichung 43301, Taiwan (China)
2014-04-15
Applying the concept of anti-integrable limit to coupled map lattices originated from space-time discretized nonlinear wave equations, we show that there exist topological horseshoes in the phase space formed by the initial states of travelling wave solutions. In particular, the coupled map lattices display spatio-temporal chaos on the horseshoes.
2009-06-28
considered a very young field, and most of the problems and methods are not as well-understood or ...... In this section we present an optimality certificate for problems of the form min{f(x) : Ax = b,l ...... quadratic forms. Tech. rep., Dept. of Management Sciences, University of Iowa (2007) ..... Matiyasevich, Yu.V.: Enumerable ...
Goulielmakis, E.; Max-Planck-Institut fur Quantenoptik
2008-01-01
g l e - C y c l e Nonlinear Optics E. G o u l i e l m a k iSingle-Cycle Nonlinear Optics E. Goulielmakis *, M.D-85748 Garching. Center for X-Ray Optics, Lawrence Berkeley
The Mathematics of Nonlinear Optics
MÃ©tivier, Guy
The Mathematics of Nonlinear Optics Guy MÂ´etivier March 7, 2009 Contents 1 Introduction 4 2 Examples of equations arising in nonlinear optics 11 3 The framework of hyperbolic systems 18 3.1 Equations Optics 49 5.1 Linear geometric optics . . . . . . . . . . . . . . . . . . . . . . . . . 49 5
Three-Dimensional Nonlinear Acoustical Holography
Niu, Yaying
2013-05-06
nonlinear acoustic holography procedure is derived for reconstructing steady-state acoustic pressure fields by applying perturbation and renormalization methods to nonlinear, dissipative, pressure-based Westervelt Wave Equation (WWE). The nonlinear acoustic...
Nonlinear arcsin-electrodynamics
S. I. Kruglov
2015-03-21
A new model of nonlinear electrodynamics with three parameters is suggested and investigated. It is shown that if the external constant magnetic field presents the phenomenon of vacuum birefringence takes place. The indexes of refraction for two polarizations of electromagnetic waves, parallel and perpendicular to the magnetic induction field are calculated. The electric field of a point-like charge is not singular at the origin and the static electric energy is finite. We have calculated the static electric energy of point-like particles for different parameters of the model. The canonical and symmetrical Belinfante energy-momentum tensors and dilatation current are obtained. We demonstrate that the dilatation symmetry and dual symmetry are broken in the model suggested.
Fainberg, B D
2015-01-01
Purely organic materials with negative and near-zero dielectric permittivity can be easily fabricated. Here we develop a theory of nonlinear non-steady-state organic plasmonics with strong laser pulses. The bistability response of the electron-vibrational model of organic materials in the condensed phase has been demonstrated. Non-steady-state organic plasmonics enable us to obtain near-zero dielectric permittivity during a short time. We have proposed to use non-steady-state organic plasmonics for the enhancement of intersite dipolar energy-transfer interaction in the quantum dot wire that influences on electron transport through nanojunctions. Such interactions can compensate Coulomb repulsions for particular conditions. We propose the exciton control of Coulomb blocking in the quantum dot wire based on the non-steady-state near-zero dielectric permittivity of the organic host medium.
Nonlinear vibrational microscopy
Holtom, Gary R. (Richland, WA); Xie, Xiaoliang Sunney (Richland, WA); Zumbusch, Andreas (Munchen, DE)
2000-01-01
The present invention is a method and apparatus for microscopic vibrational imaging using coherent Anti-Stokes Raman Scattering or Sum Frequency Generation. Microscopic imaging with a vibrational spectroscopic contrast is achieved by generating signals in a nonlinear optical process and spatially resolved detection of the signals. The spatial resolution is attained by minimizing the spot size of the optical interrogation beams on the sample. Minimizing the spot size relies upon a. directing at least two substantially co-axial laser beams (interrogation beams) through a microscope objective providing a focal spot on the sample; b. collecting a signal beam together with a residual beam from the at least two co-axial laser beams after passing through the sample; c. removing the residual beam; and d. detecting the signal beam thereby creating said pixel. The method has significantly higher spatial resolution then IR microscopy and higher sensitivity than spontaneous Raman microscopy with much lower average excitation powers. CARS and SFG microscopy does not rely on the presence of fluorophores, but retains the resolution and three-dimensional sectioning capability of confocal and two-photon fluorescence microscopy. Complementary to these techniques, CARS and SFG microscopy provides a contrast mechanism based on vibrational spectroscopy. This vibrational contrast mechanism, combined with an unprecedented high sensitivity at a tolerable laser power level, provides a new approach for microscopic investigations of chemical and biological samples.
Fiber Laser Based Nonlinear Spectroscopy
Adany, Peter
2012-08-31
To date, nonlinear spectroscopy has been considered an expensive technique and confined mostly to experimental laboratory settings. Over recent years, optical-fiber lasers that are highly reliable, simple to operate and relatively inexpensive have...
Nonlinear effects in kinetic resolutions
Johnson, Derrell W.
1999-01-01
The impact of nonlinear effects in the asymmetric catalysis of kinetic resolutions is analyzed. It is found with minimal assumptions that the kinetics of homocompetitive reactions should apply generally to kinetic resolutions involving partially...
Nonlinear characterization of a single-axis acoustic levitator
Andrade, Marco A. B.; Ramos, Tiago S.; Okina, Fábio T. A.; Adamowski, Julio C.
2014-04-15
The nonlinear behavior of a 20.3 kHz single-axis acoustic levitator formed by a Langevin transducer with a concave radiating surface and a concave reflector is experimentally investigated. In this study, a laser Doppler vibrometer is applied to measure the nonlinear sound field in the air gap between the transducer and the reflector. Additionally, an electronic balance is used in the measurement of the acoustic radiation force on the reflector as a function of the distance between the transducer and the reflector. The experimental results show some effects that cannot be described by the linear acoustic theory, such as the jump phenomenon, harmonic generation, and the hysteresis effect. The influence of these nonlinear effects on the acoustic levitation of small particles is discussed.
Foundations of nonlinear gyrokinetic theory
Brizard, A. J.; Hahm, T. S.
2007-04-15
Nonlinear gyrokinetic equations play a fundamental role in our understanding of the long-time behavior of strongly magnetized plasmas. The foundations of modern nonlinear gyrokinetic theory are based on three pillars: (i) a gyrokinetic Vlasov equation written in terms of a gyrocenter Hamiltonian with quadratic low-frequency ponderomotivelike terms, (ii) a set of gyrokinetic Maxwell (Poisson-Ampere) equations written in terms of the gyrocenter Vlasov distribution that contain low-frequency polarization (Poisson) and magnetization (Ampere) terms, and (iii) an exact energy conservation law for the gyrokinetic Vlasov-Maxwell equations that includes all the relevant linear and nonlinear coupling terms. The foundations of nonlinear gyrokinetic theory are reviewed with an emphasis on rigorous application of Lagrangian and Hamiltonian Lie-transform perturbation methods in the variational derivation of nonlinear gyrokinetic Vlasov-Maxwell equations. The physical motivations and applications of the nonlinear gyrokinetic equations that describe the turbulent evolution of low-frequency electromagnetic fluctuations in a nonuniform magnetized plasmas with arbitrary magnetic geometry are discussed.
Epstein, Irving R.
FOCUS ISSUE: Nonlinear dynamics related to polymeric systems Overview: Nonlinear dynamics related is another promising practical application of nonlinear chemical dynamics. In this issue we focus on non is known about nonlinear phenom- ena in polymeric systems. One reason for the lack of interest in nonlinear
Quantum Dynamics of Nonlinear Cavity Systems
Paul D. Nation
2010-09-16
We investigate the quantum dynamics of three different configurations of nonlinear cavity systems. To begin, we carry out a quantum analysis of a dc superconducting quantum interference device (SQUID) mechanical displacement detector comprised of a SQUID with a mechanically compliant loop segment. The SQUID is approximated by a nonlinear current-dependent inductor, inducing a flux tunable nonlinear Duffing term in the cavity equation of motion. Expressions are derived for the detector signal and noise response where it is found that a soft-spring Duffing self-interaction enables a closer approach to the displacement detection standard quantum limit, as well as cooling closer to the ground state. Next, we make use of a superconducting transmission line formed from an array of dc-SQUIDs for investigating analogue Hawking radiation. Biasing the array with a space-time varying flux modifies the propagation velocity of the transmission line, leading to an effective metric with a horizon. This setup allows for quantum effects such as backreaction and analogue space-time fluctuations on the Hawking process. Finally, we look at a quantum parametric amplifier with dynamical pump mode, viewed as a zero-dimensional model of Hawking radiation from an evaporating black hole. The conditions are derived under which the spectrum of particles generated from vacuum fluctuations deviates from the thermal spectrum predicted for the conventional parametric amplifier. We find that significant deviation occurs once the pump mode (black hole) has released nearly half of its initial energy in the signal (Hawking radiation) and idler (in-falling particle) modes. As a model of black hole dynamics, this finding lends support to the view that late-time Hawking radiation contains information about the quantum state of the black hole and is entangled with the black hole's quantum gravitational degrees of freedom.
Non-linear power spectra in the synchronous gauge
Jai-chan Hwang; Hyerim Noh; Donghui Jeong; Jinn-Ouk Gong; Sang Gyu Biern
2014-08-20
We study the non-linear corrections to the matter and velocity power spectra in the synchronous gauge (SG). We consider the perturbations up to third order in a zero-pressure fluid in flat cosmological background, which is relevant for the non-linear growth of cosmic structure. As a result, we point out that the SG is an inappropriate coordinate choice when handling the non-linear growth of the large-scale structure. Although the equations in the SG happen to coincide with those in the comoving gauge (CG) to linear order, they differ from second order. In particular, the second order hydrodynamic equations in the the SG are apparently in the Lagrangian form, whereas those in the CG are in the Eulerian form. Thus, the non-linear power spectra naively presented in the original SG show strange behavior quite different from the result of the Newtonian theory even on sub-horizon scales. The power spectra in the SG show regularized behaviors only after we introduce convective terms in the second order so that the equations in two gauges coincide to the second order.
Soliton quenching NLTL impulse circuit with a pulse forming network at the output
McEwan, T.E.; Dallum, G.E.
1998-09-08
An impulse forming circuit is disclosed which produces a clean impulse from a nonlinear transmission line compressed step function without customary soliton ringing by means of a localized pulse shaping and differentiating network which shunts the nonlinear transmission line output to ground. 5 figs.
IIA/IIB Supergravity and Ten-forms
E. A. Bergshoeff; J. Hartong; P. S. Howe; T. Ortin; F. Riccioni
2010-04-08
We perform a careful investigation of which p-form fields can be introduced consistently with the supersymmetry algebra of IIA and/or IIB ten-dimensional supergravity. In particular the ten-forms, also known as "top-forms", require a careful analysis since in this case, as we will show, closure of the supersymmetry algebra at the linear level does not imply closure at the non-linear level. Consequently, some of the (IIA and IIB) ten-form potentials introduced in earlier work of some of us are discarded. At the same time we show that new ten-form potentials, consistent with the full non-linear supersymmetry algebra can be introduced. We give a superspace explanation of our work. All of our results are precisely in line with the predictions of the E(11) algebra.
Non-Linear Seismic Soil Structure Interaction (SSI) Method for...
Office of Environmental Management (EM)
Non-Linear Seismic Soil Structure Interaction (SSI) Method for Developing Non-Linear Seismic SSI Analysis Techniques Non-Linear Seismic Soil Structure Interaction (SSI) Method for...
Nonlinear Time Domain Modeling and Simulation of Surface and...
Office of Environmental Management (EM)
Nonlinear Time Domain Modeling and Simulation of Surface and Embedded NPPS Nonlinear Time Domain Modeling and Simulation of Surface and Embedded NPPS Nonlinear Time Domain Modeling...
Parameter and state estimation in nonlinear dynamical systems
Creveling, Daniel R.
2008-01-01
and J. Kurths. Nonlinear dynamical system identi?ca- tionEstimation In Nonlinear Dynamical Systems A dissertationState Estimation In Nonlinear Dynamical Systems by Daniel R.
Block-oriented nonlinear system identification using semidenite programming
Han, Younghee
2012-01-01
repre- sents a nonlinear dynamical system as a combinationlinear dynamical system and the static nonlinear functionunknown linear dynamical systems G(q) and a static nonlinear
Transparency in nonlinear frequency conversion
Longhi, Stefano
2015-01-01
Suppression of wave scattering and the realization of transparency effects in engineered optical media and surfaces have attracted great attention in the past recent years. In this work the problem of transparency is considered for optical wave propagation in a nonlinear dielectric medium with second-order $\\chi^{(2)}$ susceptibility. Because of nonlinear interaction, a reference signal wave at carrier frequency $\\omega_1$ can exchange power, thus being amplified or attenuated,when phase matching conditions are satisfied and frequency conversion takes place. Therefore, rather generally the medium is not transparent to the signal wave because of 'scattering' in the frequency domain. Here we show that broadband transparency, corresponding to the full absence of frequency conversion in spite of phase matching, can be observed for the signal wave in the process of sum frequency generation whenever the effective susceptibility $\\chi^{(2)}$ along the nonlinear medium is tailored following a suitable spatial apodiza...
Mandal, Debraj; Sharma, Devendra [Institute for Plasma Research, Bhat, Gandhinagar 382428 (India)
2014-10-15
The finite amplitude ion acoustic waves that trap electrons modify the structure of the evolving nonlinear soliton solutions. In the numerical simulations, self-consistently generated solitary waves are studied that emerge as a result of a current driven microinstability growing the ion acoustic mode in a collisionless Vlasov plasma. The growth saturates as a result of nonlinear effects governed by a combination of nonlinearities originating from the hydrodynamic model and kinetic particle trapping effects. The resulting solitary waves also coexist with a finite current and an electron plasma wave capable of perturbing the trapping potential. The results of multiscale simulation are analyzed and characterized following the kinetic prescription of undamped trapped particle mode in the form of phase space vortex solutions that are generalized form of Sagdeev's solitons and obey the solutions of a modified Korteweg-de Vries equation, accounting for a stronger nonlinearity originating from the electron trapping.
Zhou Gang; Michael Weinstein
2008-11-03
Nonlinear Schrodinger / Gross-Pitaevskii equations play a central role in the understanding of nonlinear optical and macroscopic quantum systems. The large time dynamics of such systems is governed by interactions of the nonlinear ground state manifold, discrete neutral modes (``excited states'') and dispersive radiation. Systems with symmetry, in spatial dimensions larger than one, typically have degenerate neutral modes. Thus, we study the large time dynamics of systems with degenerate neutral modes. This requires a new normal form (nonlinear matrix Fermi Golden Rule) governing the system's large time asymptotic relaxation to the ground state (soliton) manifold.
Time Displaced Entanglement and Non-Linear Quantum Evolution
T. C. Ralph
2005-10-06
We discuss time displaced entanglement, produced by taking one member of a Bell pair on a round trip at relativistic speeds, thus inducing a time-shift between the pair. We show that decoherence with respect to Bell measurements on the pair is predicted. We then study a teleportation protocol, using time displaced entanglement as its resource, in which a time-like loop is apparently formed. The result is non-unitary, non-linear evolution of the teleported state.
Pulse shaping using nonlinear dielectric SrTiO{sub 3}
Findikoglu, A.T.; Reagor, D.W.; Rasmussen, K.O.; Bishop, A.R.; Gronbech-Jensen, N.; Jia, Q.X.; Fan, Y.; Kwon, C.
1999-03-01
We have studied electromagnetic pulse shaping in coplanar waveguide delay lines made from superconducting YBa{sub 2}Cu{sub 3}O{sub 7{minus}{delta}} electrodes on nonlinear dielectric SrTiO{sub 3} single-crystal substrates. The delay lines exhibited bias- and temperature-dependent nonlinearity and dispersion, with associated pulse-shaping effects. At low temperatures and under certain bias conditions, the interplay of dispersion and nonlinearity has led to stable and compact wave forms, reminiscent of microwave solitons. {copyright} {ital 1999 American Institute of Physics.}
*OCC Technical Elective. College of Engineering and Computer Science
Mohan, Chilukuri K.
341 Fluid Mechanics 4 TOTAL CREDITS 64 17 17 17 17 17 16 14 13 #12; Engr. Comp. Tools *CSC110 3 ECS221 Statics ENS207 3 ECS222 Dynamics ENS208 3 ECS325 Mechanics of Solids AEE343 Compressible Flow 3 AEE427 Dynamics of Aero. Vehicles 4 AEE446 Propulsion 3 AEE471 Des. & Anal
Optimization and Nonlinear Equations Gordon K. Smyth
Smyth, Gordon K.
Optimization and Nonlinear Equations Gordon K. Smyth Bioinformatics Division, Walter and Eliza Hall, University of Melbourne, Victoria, Australia 12 November 2014 Abstract Optimization means finding. Many optimization al- gorithms are derived from algorithms that solve the nonlinear equations defined
Developments and advances in nonlinear terahertz spectroscopy
Brandt, Nathaniel Curran
2014-01-01
Nonlinear terahertz (THz) spectroscopy is a rapidly developing field, which is concerned with driving and observing nonlinear material responses in the THz range of the electromagnetic spectrum. In this thesis, I present ...
Mathematics 658 Nonlinear Dynamics and Geometic Mechanics
Bloch, Anthony
Mathematics 658 Nonlinear Dynamics and Geometic Mechanics Instructor: Anthony M. Bloch. Office of ordinary differential equations and dynamical systems, with applications to various mechanical and physical geometry, nonlinear stability theory, Lagrangian and Hamiltonian mechanics, integrable systems, reduction
Disturbance Rejection for Nonlinear Systems Zongxuan Sun
Tsao, Tsu-Chin
Disturbance Rejection for Nonlinear Systems Zongxuan Sun Research and Development Center General result for a class of minimum phase nonlinear systems with linear disturbances. Sun and Tsao (1999, 2001
Year in Review Nonlinear Studies
Polish-American mathematician Stan Ulam, who was among the founders of what has now become "nonlinear of integrated theoretical and computational methods to study problems involving complex condense-phase systems of Physics. She is a theoretical condensed matter physicist who has worked on a broad range of problems
Nonlinear Michelson interferometer for improved quantum metrology
Alfredo Luis; Ángel Rivas
2015-04-21
We examine nonlinear quantum detection via a Michelson interferometer embedded in a gas with Kerr nonlinearity. The interferometer is illuminated by pulses of classical light. This strategy combines the robustness against practical imperfections of classical light with the improvement provided by nonlinear detection. Regarding ultimate quantum limits, we stress that, as a difference with linear schemes, the nonlinearity introduces pulse duration as a new variable into play along with the energy resources.
Optimization Online - Nonlinear Optimization Submissions - 2013
Nonlinear Optimization Submissions - 2013. January 2013. A Framework of Constraint Preserving Update Schemes for Optimization on Stiefel Manifold
Optimization Online - Nonlinear Optimization Submissions - 2012
Nonlinear Optimization Submissions - 2012. January 2012. Systems governed by Differential Equations Optimization Squeeze-and-Breathe Evolutionary Monte ...
TECHNICAL NOTES Closed-Form Stiffness Matrix for the Four-Node
Vecchio, Frank J.
-form stiffness matrices in finite-element analysis has long been recognized, while the con- ventional numerical presents closed-form finite-element stiffness formulations for the four-node quadrilateral element and prestrain effects, the developed closed-form element stiffness can be incorporated into a nonlinear finite-element
U.S. Energy Information Administration (EIA) Indexed Site
Electricity Delivery and Energy Reliability Form OE-417 ELECTRIC EMERGENCY INCIDENT AND DISTURBANCE REPORT Form Approved OMB No. 1901-0288 Approval Expires 03312018 Burden Per...
Ronald Edward Kumon NONLINEAR SURFACE ACOUSTIC WAVES
Copyright by Ronald Edward Kumon 1999 #12;NONLINEAR SURFACE ACOUSTIC WAVES IN CUBIC CRYSTALS THE UNIVERSITY OF TEXAS AT AUSTIN December 1999 #12;NONLINEAR SURFACE ACOUSTIC WAVES IN CUBIC CRYSTALS Approved Zabolotskaya for teaching me the intricacies of nonlinear surface acoustic waves and for their continuing
LANGUAGE LEARNING AND NONLINEAR DYNAMICAL SYSTEMS
Andrews, Mark W.
LANGUAGE LEARNING AND NONLINEAR DYNAMICAL SYSTEMS A Dissertation Presented to the Faculty LEARNING AND NONLINEAR DYNAMICAL SYSTEMS Mark William Andrews, Ph.D. Cornell University 2003 The thesis be provided by an better appreciation of the capacities of nonlinear dynamical systems to learn, rep- resent
Ã¥ Risa-R-411 Nonlinear Finite Element Analysis of Concrete Structures Niels Saabye Ottosen RisÃ¸ | other IAEA P. 0. Box 100 A-1400, Vienna, Austria #12;RISÃ?-R-411 NONLINEAR FINITE ELEMENT ANALYSIS OF CONCRETE STRUCTURES Niels Saabye Ottosen Abstract. This report deals with nonlinear finite element analy
Condition assessment of nonlinear processes
Hively, Lee M. (Philadelphia, TN); Gailey, Paul C. (Athens, OH); Protopopescu, Vladimir A. (Knoxville, TN)
2002-01-01
There is presented a reliable technique for measuring condition change in nonlinear data such as brain waves. The nonlinear data is filtered and discretized into windowed data sets. The system dynamics within each data set is represented by a sequence of connected phase-space points, and for each data set a distribution function is derived. New metrics are introduced that evaluate the distance between distribution functions. The metrics are properly renormalized to provide robust and sensitive relative measures of condition change. As an example, these measures can be used on EEG data, to provide timely discrimination between normal, preseizure, seizure, and post-seizure states in epileptic patients. Apparatus utilizing hardware or software to perform the method and provide an indicative output is also disclosed.
A. R. Denton
2004-05-06
A nonlinear response theory is developed and applied to electrostatic interactions between spherical macroions, screened by surrounding microions, in charge-stabilized colloidal suspensions. The theory describes leading-order nonlinear response of the microions (counterions, salt ions) to the electrostatic potential of the macroions and predicts microion-induced effective many-body interactions between macroions. A linear response approximation [Phys. Rev. E 62, 3855 (2000)] yields an effective pair potential of screened-Coulomb (Yukawa) form, as well as a one-body volume energy, which contributes to the free energy. Nonlinear response generates effective many-body interactions and essential corrections to both the effective pair potential and the volume energy. By adopting a random-phase approximation (RPA) for the response functions, and thus neglecting microion correlations, practical expressions are derived for the effective pair and triplet potentials and for the volume energy. Nonlinear screening is found to weaken repulsive pair interactions, induce attractive triplet interactions, and modify the volume energy. Numerical results for monovalent microions are in good agreement with available ab initio simulation data and demonstrate that nonlinear effects grow with increasing macroion charge and concentration and with decreasing salt concentration. In the dilute limit of zero macroion concentration, leading-order nonlinear corrections vanish. Finally, it is shown that nonlinear response theory, when combined with the RPA, is formally equivalent to the mean-field Poisson-Boltzmann theory and that the linear response approximation corresponds, within integral-equation theory, to a linearized hypernetted-chain closure.
Dynamics of nonlinear excitations of helically confined charges
Zampetaki, A V; Schmelcher, P
2015-01-01
We explore the long-time dynamics of a system of identical charged particles trapped on a closed helix. This system has recently been found to exhibit an unconventional deformation of the linear spectrum when tuning the helix radius. Here we show that the same geometrical parameter can affect significantly also the dynamical behaviour of an initially broad excitation for long times. In particular, for small values of the radius, the excitation disperses into the whole crystal whereas within a specific narrow regime of larger radii the excitation self-focuses, assuming finally a localized form. Beyond this regime, the excitation defocuses and the dispersion gradually increases again. We analyze this geometrically controlled nonlinear behaviour using an effective discrete nonlinear Schr\\"{o}dinger model, which allows us among others to identify a number of breather-like excitations.
The extreme nonlinear optics of gases and femtosecond optical filamentation
Milchberg, H. M.; Chen, Y.-H.; Cheng, Y.-H.; Jhajj, N.; Palastro, J. P.; Rosenthal, E. W.; Varma, S.; Wahlstrand, J. K.; Zahedpour, S. [Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742 (United States)
2014-10-15
Under certain conditions, powerful ultrashort laser pulses can form greatly extended, propagating filaments of concentrated high intensity in gases, leaving behind a very long trail of plasma. Such filaments can be much longer than the longitudinal scale over which a laser beam typically diverges by diffraction, with possible applications ranging from laser-guided electrical discharges to high power laser propagation in the atmosphere. Understanding in detail the microscopic processes leading to filamentation requires ultrafast measurements of the strong field nonlinear response of gas phase atoms and molecules, including absolute measurements of nonlinear laser-induced polarization and high field ionization. Such measurements enable the assessment of filamentation models and make possible the design of experiments pursuing applications. In this paper, we review filamentation in gases and some applications, and discuss results from diagnostics developed at Maryland for ultrafast measurements of laser-gas interactions.
Inclusion of nonlinear aerodynamics in the FLAP code
Weber, T. (Solar Energy Research Inst., Golden, CO (USA)) [Solar Energy Research Inst., Golden, CO (USA)
1989-11-01
Horizontal axis wind turbines usually operate with significant portions of the blade in deep stall. This contradicts the assumption in the FLAP code that a linear relation exists between the angle of attack and the lift coefficient. The objective of this paper is to determine the importance of nonlinear aerodynamics in the prediction of loads. The FLAP code has been modified to include the nonlinear relationships between the lift and drag coefficients with the angle of attack. The modification affects the calculation of the induced velocities and the aerodynamic loads. This requires an iterative procedure to determine the induced velocities instead of a closed form solution. A more advanced tower interference model has also been added that accounts for both upwind and downwind tower effects. 7 refs., 14 figs.
Ka?amajska, Agnieszka
2011-01-01
We derive inequality [\\int_{\\r} |f^{'}(x)|^ph(f(x))dx \\le (\\sqrt{p-1})^p\\int_{\\r}(\\sqrt{|f^{"}(x){\\cal T}_h(f(x))|})^ph(f(x))dx,] where $f$ belongs locally to Sobolev space $W^{2,1}$ and $f^{'}$ has bounded support. Here $h(...)$ is a given function and ${\\cal T}_h(...)$ is its given transform, it is independent of $p$. In case when $h\\equiv 1$ we retrieve the well known inequality: (\\int_{\\r} |f^{'}(x)|^pdx \\le (\\sqrt{p-1})^p \\int_{\\r}(\\sqrt{|f^{"}(x)f(x)|})^pdx.) Our inequalities have form similar to the classical second order Oppial inequalites. They also extend certain class of inequalities due to Mazya, used to obtain second order isoperimetric inequalities and capacitary estimates. We apply them to obtain new apriori estimates for nonlinear eigenvalue problems.
McInnis, Martha Jane
1982-01-01
Physical manifestations of time occur in natural forms of all sizes. Architectural form serves as shelter while providing a built envelope of human life, simultaneously influencing and influenced by energetic activities ...
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Branagan, Daniel J. (Iona, ID); Burch, Joseph V. (Shelley, ID)
2001-01-01
In one aspect, the invention encompasses a method of forming a steel. A metallic glass is formed and at least a portion of the glass is converted to a crystalline steel material having a nanocrystalline scale grain size. In another aspect, the invention encompasses another method of forming a steel. A molten alloy is formed and cooled the alloy at a rate which forms a metallic glass. The metallic glass is devitrified to convert the glass to a crystalline steel material having a nanocrystalline scale grain size. In yet another aspect, the invention encompasses another method of forming a steel. A first metallic glass steel substrate is provided, and a molten alloy is formed over the first metallic glass steel substrate to heat and devitrify at least some of the underlying metallic glass of the substrate.
Taylor, Richard
Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 15, No. 1, pp. 129-136. © 2011 Society for Chaos Theory in Psychology & Life Sciences. The Art and Science of Foam Bubbles R. P. Taylor 1 of Nonlinear Dynamics, Psychology, and Life Sciences. Denis Weaire, Stefan Hutzler, Wiebke Drenckhan form
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantityBonneville Power Administration wouldMass map shinesSolarNew scholarshipThreeFebruary 2015NikkiBig Eddy89Energyfarin
A model of nonlinear electrodynamics
S. I. Kruglov
2014-12-02
A new model of nonlinear electrodynamics with two parameters is investigated. We also consider a model with one dimensional parameter. It was shown that the electric field of a point-like charge is not singular at the origin and there is the finiteness of the static electric energy of point-like charged particle. We obtain the canonical and symmetrical Belinfante energy-momentum tensors and dilatation currents. It is demonstrated that the dilatation symmetry and dual symmetry are broken in the models suggested. We have calculated the static electric energy of point-like particles.
Nonlinear and distributed sensory estimation
Sugathevan, Suranthiran
2005-08-29
!tdt (2.3) where ! is frequency in rad/sec. Fff(t)g is also known as the spectrum of f(t). De nition 4 Inverse Fourier Transform: The Inverse Fourier Transform (F 1f:g) recovers the function f(t) from its Fourier Transform Fff(t)g. F 1fFff(t)gg = f(t) = 12...=ISO-8859-1 NONLINEAR AND DISTRIBUTED SENSORY ESTIMATION A Dissertation by SURANTHIRAN SUGATHEVAN Submitted to the O ce of Graduate Studies of Texas A&M University in partial ful llment of the requirements for the degree of DOCTOR OF PHILOSOPHY May...
Beams on nonlinear elastic foundation
Lukkassen, Dag; Meidell, Annette
2014-12-10
In order to determination vertical deflections and rail bending moments the Winkler model (1867) is often used. This linear model neglects several conditions. For example, by using experimental results, it has been observed that there is a substantial increase in the maximum rail deflection and rail bending moment when considering the nonlinearity of the track support system. A deeper mathematical analysis of the models is necessary in order to obtain better methods for more accurate numerical solutions in the determination of deflections and rail bending moments. This paper is intended to be a small step in this direction.
Nonlinear structural crack growth monitoring
Welch, Donald E. (Oak Ridge, TN); Hively, Lee M. (Philadelphia, TN); Holdaway, Ray F. (Clinton, TN)
2002-01-01
A method and apparatus are provided for the detection, through nonlinear manipulation of data, of an indicator of imminent failure due to crack growth in structural elements. The method is a process of determining energy consumption due to crack growth and correlating the energy consumption with physical phenomena indicative of a failure event. The apparatus includes sensors for sensing physical data factors, processors or the like for computing a relationship between the physical data factors and phenomena indicative of the failure event, and apparatus for providing notification of the characteristics and extent of such phenomena.
Optimization Online - Nonlinear Optimization Submissions - 2015
Nonlinear Optimization Submissions - 2015. January 2015. On iteratively reweighted Algorithms for Non-smooth Non-convex Optimization in Computer Vision
Development of Nonlinear SSI Time Domain Methodology
Broader source: Energy.gov [DOE]
Development of Nonlinear SSI Time Domain Methodology Justin Coleman, P.E. Nuclear Science and Technology Idaho National Laboratory October 22, 2014
Nonlinear nanomechanical oscillators for ultrasensitive inertial...
Office of Scientific and Technical Information (OSTI)
inertial detection A system for ultrasensitive mass andor force detection of this invention includes a mechanical oscillator driven to oscillate in a nonlinear regime. The...
Engineering Giant Nonlinearities in Quantum Nanosystems
Kurt Jacobs; Andrew Landahl
2009-08-06
We describe a method to engineer giant nonlinearities in, and probes to measure nonlinear observables of, mesoscopic quantum resonators. This involves tailoring the Hamiltonian of a simple auxiliary system perturbatively coupled to the resonator, and has the potential to engineer a wide range of nonlinearities to high accuracy. We give a number of explicit examples, including a readily realizable two-qubit auxiliary system that creates an x^4 potential and a Chi^(3) (Kerr) nonlinearity, valid to fifth-order in the perturbative coupling.
Nonlinear conformation of secondary protein folding
Januar, M; Handoko, L T
2012-01-01
A model to describe the mechanism of conformational dynamics in secondary protein based on matter interactions is proposed. The approach deploys the lagrangian method by imposing certain symmetry breaking. The protein backbone is initially assumed to be nonlinear and represented by the Sine-Gordon equation, while the nonlinear external bosonic sources is represented by $\\phi^4$ interaction. It is argued that the nonlinear source induces the folding pathway in a different way than the previous work with initially linear backbone. Also, the nonlinearity of protein backbone decreases the folding speed.
Detonator comprising a nonlinear transmission line
Elizondo-Decanini, Juan M
2014-12-30
Detonators are described herein. In a general embodiment, the detonator includes a nonlinear transmission line that has a variable capacitance. Capacitance of the nonlinear transmission line is a function of voltage on the nonlinear transmission line. The nonlinear transmission line receives a voltage pulse from a voltage source and compresses the voltage pulse to generate a trigger signal. Compressing the voltage pulse includes increasing amplitude of the voltage pulse and decreasing length of the voltage pulse in time. An igniter receives the trigger signal and detonates an explosive responsive to receipt of the trigger signal.
Sandia National Laboratories: Careers: Special Programs: Nonlinear...
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Nonlinear Mechanics and Dynamics Summer Research Institute FEA modeling simulation A test specimen for measuring dissipation across a lap joint under different loading environments...
On Test Sets for Nonlinear Integer Maximization
2008-02-05
On Test Sets for Nonlinear. Integer Maximization. July 2007; revised February 2008. Jon Leea, Shmuel Onnb, Robert Weismantelc a IBM T.J. Watson Research
Unbiased Volumetric Registration via Nonlinear Elastic Regularization
Ferguson, Thomas S.
Unbiased Volumetric Registration via Nonlinear Elastic Regularization Igor Yanovsky1 , Carole Le elasticity method was tested using volumetric serial magnetic resonance images and shown to have some
Double-nonlinear metamaterials Rongcao Yang1,2,a
Double-nonlinear metamaterials Rongcao Yang1,2,a and Ilya V. Shadrivov1 1 Nonlinear Physics Centre 10 December 2010 We study a double-nonlinear metamaterial composed of a mixture of both nonlinear electric and nonlinear magnetic resonators. We predict multistable behavior in such metamaterial
Ding-jiang Huang; Qin-min Yang; Shui-geng Zhou
2013-12-18
Reduction operators, i.e. the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities is investigated within the framework of singular reduction operator. A classification of regular reduction operators is performedwith respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave model which are invariant under certain reduction operators are also constructed.
Butcher, Eric A.
2005-01-01
Nonlinear Dynamics (2005) 41: 237273 c Springer 2005 Order Reduction of Parametrically Excited Nonlinear Systems: Techniques and Applications S. C. SINHA1, , SANGRAM REDKAR1 , VENKATESH DESHMUKH2 , and ERIC A. BUTCHER2 1Nonlinear Systems Research Laboratory, Department of Mechanical Engineering, Auburn
Nonlinear Dynamics of Coiling in Viscoelastic Jets
Trushant Majmudar; Matthieu Varagnat; William Hartt; Gareth McKinley
2010-12-09
Instabilities in free surface continuous jets of non-Newtonian fluids, although relevant for many industrial processes, remain less well understood in terms of fundamental fluid dynamics. Inviscid, and viscous Newtonian jets have been studied in great detail; buckling instability in viscous jets leads to regular periodic coiling of the jet that exhibits a non-trivial frequency dependence with the height of the fall. Very few experimental or theoretical studies exist for continuous viscoelastic jets beyond the onset of the first instability. Here, we present a systematic study of the effects of viscoelasticity on the dynamics of free surface continuous jets of surfactant solutions that form worm-like micelles. We observe complex nonlinear spatio-temporal dynamics of the jet and uncover a transition from periodic to doubly-periodic or quasi-periodic to a multi-frequency, possibly chaotic dynamics. Beyond this regime, the jet dynamics smoothly crosses over to exhibit the "leaping shampoo effect" or the Kaye effect. This enables us to view seemingly disparate jetting dynamics as one coherent picture of successive instabilities and transitions between them. We identify the relevant scaling variables as the dimensionless height, flow rate, and the elasto-gravity number and present a regime map of the dynamics of the jet in terms of these parameters.
Nonlinear Spectroscopy of Trapped Ions
Frank Schlawin; Manuel Gessner; Shaul Mukamel; Andreas Buchleitner
2014-10-07
Nonlinear spectroscopy employs a series of laser pulses to interrogate dynamics in large interacting many-body systems, and has become a highly successful method for experiments in chemical physics. Current quantum optical experiments approach system sizes and levels of complexity which require the development of efficient techniques to assess spectral and dynamical features with scalable experimental overhead. However, established methods from optical spectroscopy of macroscopic ensembles cannot be applied straightforwardly to few-atom systems. Based on the ideas proposed in [M. Gessner et al. New J. Phys. 16 092001 (2014)], we develop a diagrammatic approach to construct nonlinear measurement protocols for controlled quantum systems and discuss experimental implementations with trapped ion technology in detail. These methods in combination with distinct features of ultra-cold matter systems allow us to monitor and analyze excitation dynamics in both the electronic and vibrational degrees of freedom. They are independent of system size, and can therefore reliably probe systems where, e.g., quantum state tomography becomes prohibitively expensive. We propose signals that can probe steady state currents, detect the influence of anharmonicities on phonon transport, and identify signatures of chaotic dynamics near a quantum phase transition in an Ising-type spin chain.
Loop Quantum Theory Applied to Biology and Nonlinear Whole Biology
Yi-Fang Chang
2008-01-02
The loop quantum theory, which constitutes a very small discontinuous space, as new method is applied to biology. The model of protein folding and lungs is proposed. In the model, some known results are used, and four approximate conclusions are obtained: their structures are quantized, their space regions are finite, various singularities correspond to folding and crossed points, and different types of catastrophe exist. Further, based on the inseparability and correlativity of the biological systems, the nonlinear whole biology is proposed, and four basic hypotheses are formed. It may unify reductionism and holism, structuralism and functionalism. Finally, the medical meaning of the theory is discussed briefly.
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Higher-degree linear approximations of nonlinear systems
Karahan, S.
1989-01-01
In this dissertation, the author develops a new method for obtaining higher degree linear approximations of nonlinear control systems. The standard approach in the analysis and synthesis of nonlinear systems is a first order approximation by a linear model. This is usually performed by obtaining a series expansion of the system at some nominal operating point and retaining only the first degree terms in the series. The accuracy of this approximation depends on how far the system moves away from the normal point, and on the relative magnitudes of the higher degree terms in the series expansion. The approximation is achieved by finding an appropriate nonlinear coordinate transformation-feedback pair to perform the higher degree linearization. With the proposed method, one can improve the accuracy of the approximation up to arbitrarily higher degrees, provided certain solvability conditions are satisfied. The Hunt-Su linearizability theorem makes these conditions precise. This approach is similar to Poincare's Normal Form Theorem in formulation, but different in its solution method. After some mathematical background the author derives a set of equations (called the Homological Equations). A solution to this system of linear equations is equivalent to the solution to the problem of approximate linearization. However, it is generally not possible to solve the system of equations exactly. He outlines a method for systematically finding approximate solutions to these equations using singular value decomposition, while minimizing an error with respect to some defined norm.
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Partnership Agreement Form Learn more at energy.goveereamobetter-plants The Better Buildings, Better Plants Program is a national initiative to significantly improve energy...
Introduction to differential forms
2015-03-09
Mar 9, 2015 ... The calculus of differential forms give an alternative to vector calculus ..... suggests, for the work we would now need to calculate the integral. ?.
Urban Segregation as a Nonlinear Phenomenon H. Yizhaq and E. Meron
Meron, Ehud
Urban Segregation as a Nonlinear Phenomenon H. Yizhaq and E. Meron Department of Energy, represent space by continuous variables whose smallest (in finitesimal) scales are still large in comparison with a single house. Discrete models, mostly in the form of cellular automata, consist of space
Rational extension and Jacobi-type X{sub m} solutions of a quantum nonlinear oscillator
Schulze-Halberg, Axel; Roy, Barnana
2013-12-15
We construct a rational extension of a recently studied nonlinear quantum oscillator model. Our extended model is shown to retain exact solvability, admitting a discrete spectrum and corresponding closed-form solutions that are expressed through Jacobi-type X{sub m} exceptional orthogonal polynomials.
Deshmukh, Venkatesh
Dynamical Systems Venkatesh Deshmukh Center for Nonlinear Dynamics and Control Department of Mechanical dynamic system models to be constructed from available data. The parameters to be estimated are assumed in the dynamic system models are assumed to have a known form, and the models are assumed to be parameter affine
Width-tunable pulse generation using four-wave mixing in bismuth based highly nonlinear fiber
Wai, Ping-kong Alexander
Width-tunable pulse generation using four-wave mixing in bismuth based highly nonlinear fiber-cho, Yokohama 221-8755, Japan Received 15 August 2006; received in revised form 28 February 2007; accepted 5 of a compact and all-fiber based width-tunable pulse gen- erator using four-wave mixing (FWM) effect in only 1
Glasses having a low non-linear refractive index for laser applications
Faulstich, Marga (Mainz, DE); Jahn, Walter (Ingelheim, DE); Krolla, Georg (Mainz, DE); Neuroth, Norbert (Mainz-Mombach, DE)
1980-01-01
Glass composition ranges are described which permit the introduction of laser activators into fluorphosphate glass with exceptionally high fluorine content while forming glasses of high crystallization stability and permitting the realization of large melt volumes. The high fluorine content imparts to the glasses an exceptionally low nonlinear refractive index n.sub.2 down to O,4 .times.10.sup.-13 esu.
Design and implementation of a robust and nonlinear flight control system for an unmanned helicopter
Benmei, Chen
: Available online 4 March 2011 Keywords: Unmanned aerial vehicles Unmanned systems Nonlinear flight dynamics driving to device operation management. Among various unmanned aerial vehicles (UAVs), small. Software systems for unmanned vehicles are required to per- form multi-level tasks, such as from hardware
Optimization and Nonlinear Gordon K. Smyth
Smyth, Gordon K.
Optimization and Nonlinear Equations Gordon K. Smyth in Encyclopedia of Biostatistics (ISBN 0471;Optimization and Nonlinear Equations Optimization means finding that value of x which maximizes or minimizes a given function f (x). The idea of optimization goes to the heart of statistical methodology
Nonlinear principal component analysis by neural networks
Hsieh, William
Nonlinear principal component analysis by neural networks William W. Hsieh Oceanography oversimplification of the datasets being analyzed. The advent of neural network (NN) models, a class of powerful by a neural net- work model which nonlinearly generalizes the classical principal component analysis (PCA
Nonlinear principal component analysis by neural networks
Hsieh, William
Nonlinear principal component analysis by neural networks William W. Hsieh Oceanography a potential oversimplification of the datasets being analyzed. The advent of neural network (NN) models by a neural net work model which nonlinearly generalizes the classical principal component analysis (PCA
Enhanced nonlinear response from metal surfaces
Novotny, Lukas
by the weak penetration of the electric field within the metal and the screening by the surface charges mixing; (190.2620) Harmonic generation and mixing. References and links 1. R. Boyd, Nonlinear Optics (Academic Press, San Diego, 2008), 3rd ed. 2. Y. R. Shen, The Principles of Nonlinear Optics (J. Wiley
Passive advection in nonlinear medium Michael Chertkov
Chertkov, Mikhael
Passive advection in nonlinear medium Michael Chertkov Department of Physics, Princeton University, Princeton, New Jersey 08544 Received 23 September 1998; accepted 15 April 1999 Forced advection of passive on velocity, in com- parison with those of advection and nonlinearity, is called passive. The passiveness does
Nonlinear Lattice Waves in Random Potentials
Sergej Flach
2014-09-10
Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in photonic crystals, and dynamics of ultra-cold atoms in optical arrays. Large intensity light can induce nonlinear response, ultracold atomic gases can be tuned into an interacting regime, which leads again to nonlinear wave equations on a mean field level. The interplay between disorder and nonlinearity, their localizing and delocalizing effects is currently an intriguing and challenging issue in the field. We will discuss recent advances in the dynamics of nonlinear lattice waves in random potentials. In the absence of nonlinear terms in the wave equations, Anderson localization is leading to a halt of wave packet spreading. Nonlinearity couples localized eigenstates and, potentially, enables spreading and destruction of Anderson localization due to nonintegrability, chaos and decoherence. The spreading process is characterized by universal subdiffusive laws due to nonlinear diffusion. We review extensive computational studies for one- and two-dimensional systems with tunable nonlinearity power. We also briefly discuss extensions to other cases where the linear wave equation features localization: Aubry-Andre localization with quasiperiodic potentials, Wannier-Stark localization with dc fields, and dynamical localization in momentum space with kicked rotors.
On Contraction Analysis for Nonlinear Systems
Slotine, Jean-Jacques E.
methods in- spired from fluid mechanics and differential geometry. Based on a differential analy- sis by controller and observer designs for simple physical examples. Key words: nonlinear dynamics, nonlinear; Nijmeyer and Van der Schaft, 1990). In this paper, a body of new results is derived using elementary tools
Nonlinear Radon and Fourier Transforms Franois Rouvire
Vallette, Bruno
Nonlinear Radon and Fourier Transforms François Rouvière Université de Nice Laboratoire Dieudonné, of the clas- sical Radon transform on hyperplanes. A function f on Rn can be reconstructed from nonlinear Radon transforms, obtained by integrating f and a ...nite num- ber of multiples x f over a family
Nonlinear Dark-Field Microscopy Hayk Harutyunyan,
Novotny, Lukas
/20/2010 Published on Web: 11/16/2010 FIGURE 1. Illustration of the nonlinear dark-field imaging method. Two incidentNonlinear Dark-Field Microscopy Hayk Harutyunyan, Stefano Palomba, Jan Renger, Romain Quidant Dark-field microscopy is a background-free imaging method that provides high sensitivity and a large
Method of forming nanodielectrics
Tuncer, Enis [Knoxville, TN; Polyzos, Georgios [Oak Ridge, TN
2014-01-07
A method of making a nanoparticle filled dielectric material. The method includes mixing nanoparticle precursors with a polymer material and reacting the nanoparticle mixed with the polymer material to form nanoparticles dispersed within the polymer material to form a dielectric composite.
Scale-invariant nonlinear optics in gases
Heyl, C M; Miranda, M; Louisy, M; Kovacs, K; Tosa, V; Balogh, E; Varjú, K; L'Huillier, A; Couairon, A; Arnold, C L
2015-01-01
Nonlinear optical methods are becoming ubiquitous in many areas of modern photonics. They are, however, often limited to a certain range of input parameters, such as pulse energy and average power, since restrictions arise from, for example, parasitic nonlinear effects, damage problems and geometrical considerations. Here, we show that many nonlinear optics phenomena in gaseous media are scale-invariant if spatial coordinates, gas density and laser pulse energy are scaled appropriately. We develop a general scaling model for (3+1)-dimensional wave equations, demonstrating the invariant scaling of nonlinear pulse propagation in gases. Our model is numerically applied to high-order harmonic generation and filamentation as well as experimentally verified using the example of pulse post-compression via filamentation. Our results provide a simple recipe for up-or downscaling of nonlinear processes in gases with numerous applications in many areas of science.
Tolle, Charles R. (Idaho Falls, ID); Clark, Denis E. (Idaho Falls, ID); Smartt, Herschel B. (Idaho Falls, ID); Miller, Karen S. (Idaho Falls, ID)
2009-10-06
A material-forming tool and a method for forming a material are described including a shank portion; a shoulder portion that releasably engages the shank portion; a pin that releasably engages the shoulder portion, wherein the pin defines a passageway; and a source of a material coupled in material flowing relation relative to the pin and wherein the material-forming tool is utilized in methodology that includes providing a first material; providing a second material, and placing the second material into contact with the first material; and locally plastically deforming the first material with the material-forming tool so as mix the first material and second material together to form a resulting material having characteristics different from the respective first and second materials.
Online optimization of storage ring nonlinear beam dynamics ...
Office of Scientific and Technical Information (OSTI)
Online optimization of storage ring nonlinear beam dynamics Citation Details In-Document Search Title: Online optimization of storage ring nonlinear beam dynamics Authors: Huang,...
Online optimization of storage ring nonlinear beam dynamics ...
Office of Scientific and Technical Information (OSTI)
Online optimization of storage ring nonlinear beam dynamics Citation Details In-Document Search Title: Online optimization of storage ring nonlinear beam dynamics You are...
MODELING OF STATIC MINING SUBSIDENCE IN A NONLINEAR MEDIUM
Ratigan, J.L.
2013-01-01
Static Evaluation of Mining Subsidence," Rep. No. LBL-11356,MODELING OF STATIC MINING SUBSIDENCE IN A NONLINEAR MEDIUMMODELING OF STATIC MINING SUBSIDENCE IN A NONLINEAR ~lliDIUM
Office of Energy Efficiency and Renewable Energy (EERE)
Non-Linear Seismic Soil Structure Interaction (SSI) Method for Developing Non-Linear Seismic SSI Analysis Techniques Justin Coleman, P.E. October 25th, 2011
2015 Electricity Form Proposals
Gasoline and Diesel Fuel Update (EIA)
a new survey form-the EIA-63C, Densified Biomass Fuel Report. Consumption of densified biomass fuel, a renewable energy source that includes wood pellets and other densified...
Satoh, Hisao (Hachioji, JP); Haneda, Satoshi (Hachioji, JP); Ikeda, Tadayoshi (Hachioji, JP); Morita, Shizuo (Hachioji, JP); Fukuchi, Masakazu (Hachioji, JP)
1996-01-01
In an image forming apparatus having a detachable process cartridge in which an image carrier on which an electrostatic latent image is formed, and a developing unit which develops the electrostatic latent image so that a toner image can be formed, both integrally formed into one unit. There is provided a developer container including a discharge section which can be inserted into a supply opening of the developing unit, and a container in which a predetermined amount of developer is contained, wherein the developer container is provided to the toner supply opening of the developing unit and the developer is supplied into the developing unit housing when a toner stirring screw of the developing unit is rotated.
NOVEL SIGNAL PROCESSING WITH NONLINEAR TRANSMISSION LINES
D. REAGOR; ET AL
2000-08-01
Nonlinear dielectrics offer uniquely strong and tunable nonlinearities that make them attractive for current devices (for example, frequency-agile microwave filters) and for future signal-processing technologies. The goal of this project is to understand pulse propagation on nonlinear coplanar waveguide prototype devices. We have performed time-domain and frequency-domain experimental studies of simple waveguide structures and pursued a theoretical understanding of the propagation of signals on these nonlinear waveguides. To realistically assess the potential applications, we used a time-domain measurement and analysis technique developed during this project to perform a broadband electrodynamics characterization in terms of nonlinear, dispersive, and dissipative effects. We completed a comprehensive study of coplanar waveguides made from high-temperature superconducting thin-film YBa{sub 2}Cu{sub 3}O{sub 7{minus}{delta}} electrodes on nonlinear dielectric single-crystal SrTiO{sub 3} substrates. By using parameters determined from small-signal (linear) transmission characteristics of the waveguides, we develop a model equation that successfully predicts and describes large-signal (nonlinear) behavior.
Electromagetic proton form factors
M Y Hussein
2006-10-31
The electromagnetic form factors are crucial to our understanding of the proton internal structure, and thus provide a strong constraint of the distributions of the charge and magnetization current within the proton. We adopted the quark-parton model for calculating and understanding the charge structure of the proton interms of the electromagnetic form factors. A remarkable agreement with the available experimental evidence is found.
Cuevas, J.; Palmero, F.
2009-11-15
We propose analytical lower and upper estimates on the excitation threshold for breathers (in the form of spatially localized and time periodic solutions) in discrete nonlinear Schroedinger (DNLS) lattices with power nonlinearity. The estimation, depending explicitly on the lattice parameters, is derived by a combination of a comparison argument on appropriate lower bounds depending on the frequency of each solution with a simple and justified heuristic argument. The numerical studies verify that the analytical estimates can be of particular usefulness, as a simple analytical detection of the activation energy for breathers in DNLS lattices.
Second-Order Nonlinear Mixing of Two Modes in a Planar Photonic Crystal Microcavity
McCutcheon, M W; Dalacu, D; Frederick, S; Poole, P J; Rieger, G W; Williams, R L; Young, J F; Aers, Geof C.; Cutcheon, Murray W. Mc; Dalacu, Dan; Frederick, Simon; Poole, Philip J.; Rieger, Georg W.; Williams, Robin L.; Young, Jeff F.
2006-01-01
Polarization-resolved second-harmonic spectra are obtained from the resonant modes of a two-dimensional planar photonic crystal microcavity patterned in a free-standing InP slab. The photonic crystal microcavity is comprised of a single missing-hole defect in a hexagonal photonic crystal host formed with elliptically-shaped holes. The cavity supports two orthogonally-polarized resonant modes split by 60 wavenumbers. Sum-frequency data are reported from the nonlinear interaction of the two coherently excited modes, and the polarization dependence is explained in terms of the nonlinear susceptibility tensor of the host InP.
Nonlinear dynamical system approaches towards neural prosthesis
Torikai, Hiroyuki; Hashimoto, Sho [Graduate School of Engineering Science, Osaka University (Japan)
2011-04-19
An asynchronous discrete-state spiking neurons is a wired system of shift registers that can mimic nonlinear dynamics of an ODE-based neuron model. The control parameter of the neuron is the wiring pattern among the registers and thus they are suitable for on-chip learning. In this paper an asynchronous discrete-state spiking neuron is introduced and its typical nonlinear phenomena are demonstrated. Also, a learning algorithm for a set of neurons is presented and it is demonstrated that the algorithm enables the set of neurons to reconstruct nonlinear dynamics of another set of neurons with unknown parameter values. The learning function is validated by FPGA experiments.
Minimizing radiation damage in nonlinear optical crystals
Cooke, D. Wayne (Santa Fe, NM); Bennett, Bryan L. (Los Alamos, NM); Cockroft, Nigel J. (Santa Fe, NM)
1998-01-01
Methods are disclosed for minimizing laser induced damage to nonlinear crystals, such as KTP crystals, involving various means for electrically grounding the crystals in order to diffuse electrical discharges within the crystals caused by the incident laser beam. In certain embodiments, electrically conductive material is deposited onto or into surfaces of the nonlinear crystals and the electrically conductive surfaces are connected to an electrical ground. To minimize electrical discharges on crystal surfaces that are not covered by the grounded electrically conductive material, a vacuum may be created around the nonlinear crystal.
Minimizing radiation damage in nonlinear optical crystals
Cooke, D.W.; Bennett, B.L.; Cockroft, N.J.
1998-09-08
Methods are disclosed for minimizing laser induced damage to nonlinear crystals, such as KTP crystals, involving various means for electrically grounding the crystals in order to diffuse electrical discharges within the crystals caused by the incident laser beam. In certain embodiments, electrically conductive material is deposited onto or into surfaces of the nonlinear crystals and the electrically conductive surfaces are connected to an electrical ground. To minimize electrical discharges on crystal surfaces that are not covered by the grounded electrically conductive material, a vacuum may be created around the nonlinear crystal. 5 figs.
Laser theory in manifest Lindblad form
C. Henkel
2007-05-06
We discuss the laser theory for a single-mode laser with nonlinear gain. We focus in particular on a micromaser which is pumped with a dilute beam of excited atoms crossing the laser cavity. In the weak-coupling regime, an expansion in the coupling strength is developed that preserves the Lindblad form of the master equation, securing the positivity of the density matrix. This expansion breaks rapidly down above threshold. This can be improved with an alternative approach, not restricted to weak coupling: the Lindblad operators are expanded in orthogonal polynomials adapted to the probability distribution for the atom-laser interaction time. Results for the photon statistics and the laser linewidth illustrate the theory.
Nonlinear response theory in chemical kinetics
Kryvohuz, M; Mukamel, S
2014-01-01
?D(t) are D 0 (t) = (1) Chemical reactions, N h i ( x , t) iOF NONLINEAR RESPONSE THEORY TO CHEMICAL KINETICS Equation (non- linear responses of chemical systems to perturbations
Electromagnetic nonlinear gyrokinetics with polarization drift
Duthoit, F.-X. [SNU Division of Graduate Education for Sustainabilization of Foundation Energy, Seoul National University, Gwanak-ro 1, Gwanak-gu, 151-744 Seoul (Korea, Republic of); Hahm, T. S., E-mail: tshahm@snu.ac.kr [Department of Nuclear Engineering, Seoul National University, Gwanak-ro 1, Gwanak-gu, 151-744 Seoul (Korea, Republic of); Wang, Lu [College of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074 (China)
2014-08-15
A set of new nonlinear electromagnetic gyrokinetic Vlasov equation with polarization drift and gyrokinetic Maxwell equations is systematically derived by using the Lie-transform perturbation method in toroidal geometry. For the first time, we recover the drift-kinetic expression for parallel acceleration [R. M. Kulsrud, in Basic Plasma Physics, edited by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1983)] from the nonlinear gyrokinetic equations, thereby bridging a gap between the two formulations. This formalism should be useful in addressing nonlinear ion Compton scattering of intermediate-mode-number toroidal Alfvén eigenmodes for which the polarization current nonlinearity [T. S. Hahm and L. Chen, Phys. Rev. Lett. 74, 266 (1995)] and the usual finite Larmor radius effects should compete.
Nonlinear high-temperature superconducting terahertz metamaterials
Grady, Nathaniel K.
We report the observation of a nonlinear terahertz response of split-ring resonator arrays made of high-temperature superconducting films. Intensity-dependent transmission measurements indicate that the resonance strength ...
Nonlinear terahertz devices utilizing semiconducting plasmonic metamaterials
Seren, Huseyin R; Keiser, George R; Maddox, Scott J; Zhao, Xiaoguang; Fan, Kebin; Bank, Seth R; Zhang, Xin; Averitt, Richard D
2015-01-01
The development of responsive metamaterials has enabled the realization of compact tunable photonic devices capable of manipulating the amplitude, polarization, wave vector, and frequency of light. Integration of semiconductors into the active regions of metallic resonators is a proven approach for creating nonlinear metamaterials through optoelectronic control of the semiconductor carrier density. Metal-free subwavelength resonant semiconductor structures offer an alternative approach to create dynamic metamaterials. We present InAs plasmonic disk arrays as a viable resonant metamaterial at terahertz frequencies. Importantly, InAs plasmonic disks exhibit a strong nonlinear response arising from electric field induced intervalley scattering resulting in a reduced carrier mobility thereby damping the plasmonic response. We demonstrate nonlinear perfect absorbers configured as either optical limiters or saturable absorbers, including flexible nonlinear absorbers achieved by transferring the disks to polyimide f...
Nonlinear Gravitational Clustering in Expanding Universe
T. Padmanabhan
1996-07-19
The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is possible to understand the nonlinear clustering in terms of three well defined regimes: (1) linear regime; (2) quasilinear regime which is dominated by scale-invariant radial infall and (3) nonlinear regime dominated by nonradial motions and mergers. Modelling each of these regimes separately I show how the nonlinear two point correlation function can be related to the linear correlation function in hierarchical models. This analysis leads to results which are in good agreement with numerical simulations thereby providing an explanation for numerical results. Using this model and some simple extensions, it is possible to understand the transfer of power from large to small scales and the behaviour of higher order correlation functions. The ideas presented here will also serve as a powerful analytical tool to investigate nonlinear clustering in different models.
Parameter estimation, nonlinearity and Occam's razor
Leandro M. Alonso
2014-10-30
Nonlinear systems are capable of displaying complex behavior even if this is the result of a small number of interacting time scales. A widely studied case is when complex dynamics emerges out of a nonlinear system being forced by a simple harmonic function. In order to identify if a recorded time series is the result of a nonlinear system responding to a simpler forcing, we develop a discrete nonlinear transformation for time series based on synchronization techniques. This allows a parameter estimation procedure which simultaneously searches for a good fit of the recorded data, and small complexity of a fluctuating driving parameter. We illustrate this procedure using data from respiratory patterns during birdsong production.
Nonlinear and Complex Dynamics in Real Systems
Barnett, William A.; Serletis, Apostolos; Serletis, Demitre
2006-06-01
In this article we provide a review of the literature with respect to fluctuations in real systems and chaos. In doing so, we contrast the order and organization hypothesis of real systems to nonlinear chaotic dynamics and discuss some techniques...
MECHANICS AND NONLINEAR CONTROL: MAKING UNDERWATER VEHICLES
Leonard, Naomi
MECHANICS AND NONLINEAR CONTROL: MAKING UNDERWATER VEHICLES RIDE AND GLIDE Naomi Ehrich Leonard \\Lambda \\Lambda Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544 naomi@princeton.edu Abstract: Methods from geometric mechanics and dynamical systems theory make
Nonlinear Systems and Complexity Series Editor
Carretero, Ricardo
-Acebedo Editors Localized Excitations in Nonlinear Complex Systems Current State of the Art and Future University California San Diego, USA Jesús Cuevas-Maraver Dept. de Física Aplicada I Escuela Politécnica
ERNEST ORLANDO LAWRENCE BERKELEY NATIONAL LABORATORY Nonlinear...
Office of Scientific and Technical Information (OSTI)
isotropic solid, Sov. Phys. Acoust. 32 296-299. zarembo L.K. and Krasil'nikov V.A., 1966, Introduction in nonlinear acoustics. - In Russian,Moscow,Science, 520. zarembo L.K. and...
Nonlinear multivariate analysis of Neurophysiological Signals
Ernesto Pereda; Rodrigo Quian Quiroga; Joydeep Bhattacharya
2005-10-31
Multivariate time series analysis is extensively used in neurophysiology with the aim of studying the relationship between simultaneously recorded signals. Recently, advances on information theory and nonlinear dynamical systems theory have allowed the study of various types of synchronization from time series. In this work, we first describe the multivariate linear methods most commonly used in neurophysiology and show that they can be extended to assess the existence of nonlinear interdependences between signals. We then review the concepts of entropy and mutual information followed by a detailed description of nonlinear methods based on the concepts of phase synchronization, generalized synchronization and event synchronization. In all cases, we show how to apply these methods to study different kinds of neurophysiological data. Finally, we illustrate the use of multivariate surrogate data test for the assessment of the strength (strong or weak) and the type (linear or nonlinear) of interdependence between neurophysiological signals.
Fluctuation-induced interactions and nonlinear nanophotonics
Rodriguez-Wong, Alejandro
2010-01-01
We present theoretical and numerical methods for studying Casimir forces and nonlinear frequency conversion in nanophotonic media consisting of arbitrary geometries and materials. The first section of the thesis focuses ...
Statistical energy analysis of nonlinear vibrating systems
Spelman, G. M.; Langley, R. S.
2015-01-01
amplitude vibration, without the need for local contacts. Nonlinearity due purely to large amplitude vibration can then result in significant energy being found in frequency bands other than those being driven by external forces. To analyse...
Nonlinear Independent Component Analysis: Existence and Uniqueness Results
Hyvärinen, Aapo
\\Lambda Corresponding author 1 #12; Nonlinear Independent Component Analysis: Existence and Uniqueness
Parameter Synthesis in Nonlinear Dynamical Systems: Application to Systems Biology
Langmead, Christopher James
Parameter Synthesis in Nonlinear Dynamical Systems: Application to Systems Biology Alexandre Donz. The dynamics of biological processes are often modeled as systems of nonlinear ordinary differential equations problem for nonlinear dynamical systems. That is, for systems of nonlinear ordinary differential equations
SEACAS Theory Manuals: Part 1. Problem Formulation in Nonlinear Solid Mechancis
Attaway, S.W.; Laursen, T.A.; Zadoks, R.I.
1998-08-01
This report gives an introduction to the basic concepts and principles involved in the formulation of nonlinear problems in solid mechanics. By way of motivation, the discussion begins with a survey of some of the important sources of nonlinearity in solid mechanics applications, using wherever possible simple one dimensional idealizations to demonstrate the physical concepts. This discussion is then generalized by presenting generic statements of initial/boundary value problems in solid mechanics, using linear elasticity as a template and encompassing such ideas as strong and weak forms of boundary value problems, boundary and initial conditions, and dynamic and quasistatic idealizations. The notational framework used for the linearized problem is then extended to account for finite deformation of possibly inelastic solids, providing the context for the descriptions of nonlinear continuum mechanics, constitutive modeling, and finite element technology given in three companion reports.
Nano-optomechanical Nonlinear Dielectric Metamaterials
Karvounis, Artemios; MacDonald, Kevin F; Zheludev, Nikolay I
2015-01-01
By harnessing the resonant nature of localized electromagnetic modes in a nanostructured silicon membrane, an all-dielectric metamaterial can act as nonlinear medium at optical telecommunications wavelengths. We show that such metamaterials provide extremely large optomechanical nonlinearities, operating at intensities of only a few {\\mu}W per unit cell and modulation frequencies as high as 152 MHz, thereby offering a path to fast, lossless, compact and energy efficient all-optical metadevices.
Quantum algorithms for hidden nonlinear structures
Andrew M. Childs; Leonard J. Schulman; Umesh V. Vazirani
2007-05-21
Attempts to find new quantum algorithms that outperform classical computation have focused primarily on the nonabelian hidden subgroup problem, which generalizes the central problem solved by Shor's factoring algorithm. We suggest an alternative generalization, namely to problems of finding hidden nonlinear structures over finite fields. We give examples of two such problems that can be solved efficiently by a quantum computer, but not by a classical computer. We also give some positive results on the quantum query complexity of finding hidden nonlinear structures.
Interactions and Focusing of Nonlinear Water Waves
Harihar Khanal; Stefan C. Mancas; Shahrdad Sajjadi
2013-02-21
The coupled cubic nonlinear Schr\\"odinger (CNLS) equations are used to study modulational instabilities of a pair of nonlinearly interacting two-dimensional waves in deep water. It has been shown that the full dynamics of these interacting waves gives rise to localized large-amplitude wavepackets (wave focusing). In this short letter we attempt to verify this result numerically using a Fourier spectral method for the CNLS equations.
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Guided wave methods and apparatus for nonlinear frequency generation
Durfee, III, Charles G. (Ann Arbor, MI); Rundquist, Andrew (Austin, TX); Kapteyn, Henry C. (Ann Arbor, MI); Murnane, Margaret M. (Ann Arbor, MI)
2000-01-01
Methods and apparatus are disclosed for the nonlinear generation of sum and difference frequencies of electromagnetic radiation propagating in a nonlinear material. A waveguide having a waveguide cavity contains the nonlinear material. Phase matching of the nonlinear generation is obtained by adjusting a waveguide propagation constant, the refractive index of the nonlinear material, or the waveguide mode in which the radiation propagates. Phase matching can be achieved even in isotropic nonlinear materials. A short-wavelength radiation source uses phase-matched nonlinear generation in a waveguide to produce high harmonics of a pulsed laser.
Woerner, Robert L. (Livermore, CA)
1980-01-01
Apparatus and method for cryoinduced uniform deposition of cryogenic materials, such as deuterium-tritium (DT) mixtures, on the inner surface of hollow spherical members, such as inertially imploded targets. By vaporizing and quickly refreezing cryogenic materials contained within a hollow spherical member, a uniform layer of the materials is formed on the inner surface of the spherical member. Heating of the cryogenic material, located within a non-isothermal compact freezing cell, is accomplished by an electrical heat pulse, whereafter the material is quickly frozen forming a uniform layer on the inner surface of the spherical member. The method is not restricted to producing a frozen layer on only the inner surface of the innermost hollow member, but where multiple concentric hollow spheres are involved, such as in multiple shell targets for lasers, electron beams, etc., layers of cryogenic material may also be formed on the inner surface of intermediate or outer spherical members, thus providing the capability of forming targets having multiple concentric layers or shells of frozen DT.
PROGRAM CLARIFICATION RETURN FORM
Amin, S. Massoud
year 3rd year beyond 3rd year During the 2015 spring semester I will: have undergraduate student status year 3rd year beyond 3rd year PART C. Certification You must sign this form certifying (hearing impaired): 612-626-0701 Email: onestop@umn.edu Academic Year 20142015 *FA711* DIRECTIONS
Heydari, M.H.; Hooshmandasl, M.R.; Cattani, C.; Maalek Ghaini, F.M.
2015-02-15
Because of the nonlinearity, closed-form solutions of many important stochastic functional equations are virtually impossible to obtain. Thus, numerical solutions are a viable alternative. In this paper, a new computational method based on the generalized hat basis functions together with their stochastic operational matrix of Itô-integration is proposed for solving nonlinear stochastic Itô integral equations in large intervals. In the proposed method, a new technique for computing nonlinear terms in such problems is presented. The main advantage of the proposed method is that it transforms problems under consideration into nonlinear systems of algebraic equations which can be simply solved. Error analysis of the proposed method is investigated and also the efficiency of this method is shown on some concrete examples. The obtained results reveal that the proposed method is very accurate and efficient. As two useful applications, the proposed method is applied to obtain approximate solutions of the stochastic population growth models and stochastic pendulum problem.
Quasiperiodic AlGaAs superlattices for neuromorphic networks and nonlinear control systems
K. V. Malyshev
2015-02-08
The application of quasiperiodic AlGaAs superlattices as a nonlinear element of the FitzHugh-Nagumo neuromorphic network is proposed and theoretically investigated on the example of Fibonacci and figurate superlattices. The sequences of symbols for the figurate superlattices were produced by decomposition of the Fibonacci superlattices' symbolic sequences. A length of each segment of the decomposition was equal to the corresponding figurate number. It is shown that a nonlinear network based upon Fibonacci and figurate superlattices provides better parallel filtration of a half-tone picture than a network based upon traditional diodes which have cubic voltage-current characteristics. It was found that the figurate superlattice F011(1) as a nonlinear network's element provides the filtration error almost twice less than the conventional "cubic" diode. These advantages are explained by a wavelike shape of the decreasing part of the quasiperiodic superlattice's voltage-current characteristic, which leads to multistability of the network's cell. This multistability promises new interesting nonlinear dynamical phenomena. A variety of wavy forms of voltage-current characteristics opens up new interesting possibilities for quasiperiodic superlattices and especially for figurate superlattices in many areas - from nervous system modeling to nonlinear control systems development
Circuit quantum electrodynamics with a nonlinear resonator
P. Bertet; F. R. Ong; M. Boissonneault; A. Bolduc; F. Mallet; A. C. Doherty; A. Blais; D. Vion; D. Esteve
2011-11-02
One of the most studied model systems in quantum optics is a two-level atom strongly coupled to a single mode of the electromagnetic field stored in a cavity, a research field named cavity quantum electrodynamics or CQED. CQED has recently received renewed attention due to its implementation with superconducting artificial atoms and coplanar resonators in the so-called circuit quantum electrodynamics (cQED) architecture. In cQED, the couplings can be much stronger than in CQED due to the design flexibility of superconducting circuits and to the enhanced field confinement in one-dimensional cavities. This enabled the realization of fundamental quantum physics and quantum information processing experiments with a degree of control comparable to that obtained in CQED. The purpose of this chapter is to investigate the situation where the resonator to which the atom is coupled is made nonlinear with a Kerr-type nonlinearity, causing its energy levels to be nonequidistant. The system is then described by a nonlinear Jaynes-Cummings Hamiltonian. This considerably enriches the physics since a pumped nonlinear resonator displays bistability, parametric amplification, and squeezing. The interplay of strong coupling and these nonlinear effects constitutes a novel model system for quantum optics that can be implemented experimentally with superconducting circuits. This chapter is organized as follows. In a first section we present the system consisting of a superconducting Kerr nonlinear resonator strongly coupled to a transmon qubit. In the second section, we describe the response of the sole nonlinear resonator to an external drive. In the third section, we show how the resonator bistability can be used to perform a high-fidelity readout of the transmon qubit. In the last section, we investigate the quantum backaction exerted by the intracavity field on the qubit.
Wilhelm I. Fushchych; Ivan M. Tsyfra; Vyacheslav M. Boyko
2002-07-18
We construct nonlinear representations of the Poincare, Galilei, and conformal algebras on a set of the vector-functions $\\Psi =(\\vec E, \\vec H)$. A nonlinear complex equation of Euler type for the electromagnetic field is proposed. The invariance algebra of this equation is found.
Nonhydrostatic and nonlinear contributions to the energy flux budget in nonlinear internal waves
Fringer, Oliver B.
Nonhydrostatic and nonlinear contributions to the energy flux budget in nonlinear internal waves S waves. Our results show that the contributions to the total energy flux from these additional terms as well as non- linearity. The partitioning of the incident internal wave energy over the course
Farrar, G.R.; Huleihel, K.; Zhang, H. (Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855 (United States))
1995-01-30
We obtain the perturbative QCD (PQCD) prediction for the leading twist deuteron form factor, treated as a pair of nucleons in nonrelativistic bound state. It is [lt]10[sup [minus]3] times experiment at [ital Q][sup 2]=4 GeV[sup 2], suggesting that PQCD is not relevant to the deuteron form factor at present values of [ital Q][sup 2], or that non-nucleon (e.g., hidden color'') degrees of freedom must be included for a correct description of the deuteron. The tree-level amplitude [similar to][ital eg][sup 10] and is the sum of several 10[sup 6] Feynman diagrams, making it an interesting case study in the behavior of perturbation theory.
Clarke, Kester Diederik
2015-07-27
The intent of this report is to document a procedure used at LANL for HIP bonding aluminum cladding to U-10Mo fuel foils using a formed HIP can for the Domestic Reactor Conversion program in the NNSA Office of Material, Management and Minimization, and provide some details that may not have been published elsewhere. The HIP process is based on the procedures that have been used to develop the formed HIP can process, including the baseline process developed at Idaho National Laboratory (INL). The HIP bonding cladding process development is summarized in the listed references. Further iterations with Babcock & Wilcox (B&W) to refine the process to meet production and facility requirements is expected.
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Nonlinear wave equation, nonlinear Riemann problem, and the twistor transform of Veronese webs
Ilya Zakharevich
2000-06-04
Veronese webs are rich geometric structures with deep relationships to various domains of mathematics. The PDEs which determine the Veronese web are overdetermined if dim >3, but in the case dim =3 they reduce to a special flavor of a non-linear wave equation. The symmetries embedded in the definition of a Veronese web reveal themselves as B\\"acklund--Darboux transformations between these non-linear wave equations. On the other hand, the twistor transform identifies Veronese webs with moduli spaces of rational curves on certain complex surfaces. These moduli spaces can be described in terms of the non-linear Riemann problem. This reduces solutions of these non-linear wave equations to the non-linear Riemann problem. We examine these relationships in the particular case of 3-dimensional Veronese webs, simultaneously investigating how these notions relate to general notions of geometry of webs.
Non-linear Plasma Wake Growth of Electron Holes
Hutchinson, I H; Zhou, C
2015-01-01
An object's wake in a plasma with small Debye length that drifts \\emph{across} the magnetic field is subject to electrostatic electron instabilities. Such situations include, for example, the moon in the solar wind wake and probes in magnetized laboratory plasmas. The instability drive mechanism can equivalently be considered drift down the potential-energy gradient or drift up the density-gradient. The gradients arise because the plasma wake has a region of depressed density and electrostatic potential into which ions are attracted along the field. The non-linear consequences of the instability are analysed in this paper. At physical ratios of electron to ion mass, neither linear nor quasilinear treatment can explain the observation of large-amplitude perturbations that disrupt the ion streams well before they become ion-ion unstable. We show here, however, that electron holes, once formed, continue to grow, driven by the drift mechanism, and if they remain in the wake may reach a maximum non-linearly stable...
Nonlinear dynamics of the magnetosphere and space weather
Sharma, A.S. [Univ. of Maryland, College Park, MD (United States). Dept. of Astronomy
1996-12-31
The solar wind-magnetosphere-ionosphere system exhibits coherence on the global scale and such behavior can arise from nonlinearity in the dynamics. The observational time series data have been used extensively to analyze the magnetospheric dynamics by using the techniques of phase space reconstruction. Analyses of the solar wind and auroral electrojet and Dst indices have shown low dimensionality of the dynamics and accurate prediction can be made with an input-output model. The predictability of the magnetosphere in spite of the apparent complexity arises form its being synchronized, in the dynamical sense, to the solar wind. The AE and Dst data are used to analyze the storm-substorm relationship based on the input-output model. This shows differences between the storm-time and non-storm substorms, and is interpreted in terms of loading-unloading and directly driven processes. The strong electrodynamic coupling between the different regions of the magnetosphere yields its coherent and thus low dimensional behavior. The data from multiple satellites and ground stations are used to develop a spatio-temporal model that identifies the coupling between the different regions. These nonlinear dynamical models provide forecasting tools for space weather.
Deep-water gravity waves: nonlinear theory of wave groups
Mindlin, I M
2014-01-01
Nonlinear initial-boundary value problem on deep-water gravity waves of finite amplitude is solved approximately (up to small terms of higher order) assuming that the waves are generated by an initial disturbance to the water and the horizontal dimensions of the initially disturbed body of the water are much larger than the magnitude of the free surface displacement. A numerable set of specific free surface waves is obtained in closed form and it is shown that free surface waves produced by an arbitrary initial disturbance to the water is a combination (not superposition: the waves are nonlinear) of the specific waves. A set of dispersive wave packets is found with one-to-one correspondence between the packets and positive integers, say, packet numbers, such that any initial free surface displacement gradually disintegrates into a number (limited or unlimited, depending on initial conditions) of the wave packets. The greater the packet number, the shorter the wavelength of the packet's carrier wave component,...
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Feedback Form Use the form below to submit a suggestion to senior management. Required fields are marked with an asterisk (*). Suggestion: Name: Email Address: Submit Last modified...
A determining form for the damped driven nonlinear Schrödinger equation-Fourier modes case
Jolly, MS; Sadigov, T; Titi, ES
2015-01-01
1984) [5] J. Bourgain, Fourier transformation restrictionStokes equations - the Fourier modes case, Journal ofSCHR ODINGER EQUATION- FOURIER MODES CASE MICHAEL S. JOLLY,
A determining form for the damped driven nonlinear Schrödinger equation-Fourier modes case
Jolly, MS; Sadigov, T; Titi, ES
2015-01-01
reverse’ Poincar´e type inequality. This approach producesusing H¨ older and Young inequalities, we have 1 d kwk 2 +H¨older, Young and Agmon inequalities and (4.3) as follows
A determining form for the damped driven nonlinear Schrödinger equation-Fourier modes case
Jolly, MS; Sadigov, T; Titi, ES
2015-01-01
for the 2D Navier-Stokes equations - The general interpolantR. Temam, Navier-Stokes Equations and Turbulence, Cambridgenon-stationnaires des equations de Navier-Stokes en
Non-linearity and environmental dependence of the star forming galaxies Main Sequence
Erfanianfar, G; Finoguenov, A; Wilman, D; Wuyts, S; Biviano, A; Salvato, M; Mirkazemi, M; Morselli, L; Ziparo, F; Nandra, K; Lutz, D; Elbaz, D; Dickinson, M; Tanaka, M; Altieri, M B; Aussel, H; Bauer, F; Berta, S; Bielby, R M; Brandt, N; Cappelluti, N; Cimatti, A; Cooper, M C; Fadda, D; Ilbert, O; Floch, E Le; Magnelli, B; Mulchaey, J S; Nordon, R; Newman, J A; Poglitsch, A; Pozzi, F
2015-01-01
Using data from four deep fields (COSMOS, AEGIS, ECDFS, and CDFN), we study the correlation between the position of galaxies in the star formation rate (SFR) versus stellar mass plane and local environment at $z10^{10.4-10.6}$ $M_{\\odot}$), across all environments. At high redshift ( $0.5
Cenalo Vaz; Louis Witten
1996-03-12
A naked singularity is formed by the collapse of a Sine-Gordon soliton in 1+1 dimensional dilaton gravity with a negative cosmological constant. We examine the quantum stress tensor resulting from the formation of the singularity. Consistent boundary conditions require that the incoming soliton is accompanied by a flux of incoming radiation across past null infinity, but neglecting the back reaction of the spacetime leads to the absurd conclusion that the total energy entering the system by the time the observer is able to receive information from the singularity is infinite. We conclude that the back reaction must prevent the formation of the naked singularity.
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Gasoline and Diesel Fuel Update (EIA)
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Summers, Melissa Erin
2012-01-01
regions of nonlinear dynamical systems: A constructiveof a class of nonlinear dynamical systems with LMI methodsoutput gain of nonlinear dynamical systems described by
Gyrokinetic turbulence: a nonlinear route to dissipation through phase space
A. A. Schekochihin; S. C. Cowley; W. Dorland; G. W. Hammett; G. G. Howes; G. G. Plunk; E. Quataert; T. Tatsuno
2008-11-04
This paper describes a conceptual framework for understanding kinetic plasma turbulence as a generalized form of energy cascade in phase space. It is emphasized that conversion of turbulent energy into thermodynamic heat is only achievable in the presence of some (however small) degree of collisionality. The smallness of the collision rate is compensated by the emergence of small-scale structure in the velocity space. For gyrokinetic turbulence, a nonlinear perpendicular phase mixing mechanism is identified and described as a turbulent cascade of entropy fluctuations simultaneously occurring at spatial scales smaller than the ion gyroscale and in velocity space. Scaling relations for the resulting fluctuation spectra are derived. An estimate for the collisional cutoff is provided. The importance of adequately modeling and resolving collisions in gyrokinetic simulations is biefly discussed, as well as the relevance of these results to understanding the dissipation-range turbulence in the solar wind and the electrostatic microturbulence in fusion plasmas.
Damage detection in initially nonlinear systems
Bornn, Luke [Los Alamos National Laboratory; Farrar, Charles [Los Alamos National Laboratory; Park, Gyuhae [Los Alamos National Laboratory
2009-01-01
The primary goal of Structural Health Monitoring (SHM) is to detect structural anomalies before they reach a critical level. Because of the potential life-safety and economic benefits, SHM has been widely studied over the past decade. In recent years there has been an effort to provide solid mathematical and physical underpinnings for these methods; however, most focus on systems that behave linearly in their undamaged state - a condition that often does not hold in complex 'real world' systems and systems for which monitoring begins mid-lifecycle. In this work, we highlight the inadequacy of linear-based methodology in handling initially nonlinear systems. We then show how the recently developed autoregressive support vector machine (AR-SVM) approach to time series modeling can be used for detecting damage in a system that exhibits initially nonlinear response. This process is applied to data acquired from a structure with induced nonlinearity tested in a laboratory environment.
Nonlinear hydrodynamic response confronts LHC data
Yan, Li; Ollitrault, Jean-Yves
2016-01-01
Higher order harmonic flow $v_n$ (with $n\\ge4$) in heavy-ion collisions can be measured either with respect to their own plane, or with respect to a plane constructed using lower-order harmonics. By assuming that higher flow harmonics are the superposition of medium nonlinear and linear responses to initial anisotropies, we propose a set of nonlinear response coefficients $\\chi_n$'s, which are independent of initial state by construction. In experiments, $\\chi_n$'s can be extracted as the ratio between higher order harmonic flow measured in the plane constructed by $v_2$ and $v_3$, and moments of lower order harmonic flow. Simulations with single-shot hydrodynamics and AMPT model lead to results of these nonlinear response coefficients in good agreement with the experimental data at the LHC energy. Predictions for $v_7$ and $v_8$ measured with respect to plane of lower order harmonics are given accordingly.
On Stabilization of Nonautonomous Nonlinear Systems
Bogdanov, A. Yu. [Faculty of Mathematics and IT, Ulyanovsk State University, 42 Leo Tolstoy str., Ulyanovsk, 432970 (Russian Federation)
2008-10-30
The procedures to obtain the sufficient conditions of asymptotic stability for nonlinear nonstationary continuous-time systems are discussed. We consider different types of the following general controlled system: x = X(t,x,u) = F(t,x)+B(t,x)u, x(t{sub 0}) = x{sub 0}. (*) The basis of investigation is limiting equations, limiting Lyapunov functions, etc. The improved concept of observability of the pair of functional matrices is presented. By these results the problem of synthesis of asymptotically stable control nonlinear nonautonomous systems (with linear parts) involving the quadratic time-dependent Lyapunov functions is solved as well as stabilizing a given unstable system with nonlinear control law.
Mesoscale Engineering of Nanocomposite Nonlinear Optical Materials
Afonso, C.N.; Feldman, L.C.; Gonella, F.; Haglund, R.F.; Luepke, G.; Magruder, R.H.; Mazzoldi, P.; Osborne, D.H.; Solis, J.; Zuhr, R.A.
1999-11-01
Complex nonlinear optical materials comprising elemental, compound or alloy quantum dots embedded in appropriate dielectric or semiconducting hosts may be suitable for deployment in photonic devices. Ion implantation, ion exchange followed by ion implantation, and pulsed laser deposition have ail been used to synthesize these materials. However, the correlation between the parameters of energetic-beam synthesis and the nonlinear optical properties is still very rudimentary when one starts to ask what is happening at nanoscale dimensions. Systems integration of complex nonlinear optical materials requires that the mesoscale materials science be well understood within the context of device structures. We discuss the effects of beam energy and energy density on quantum-dot size and spatial distribution, thermal conductivity, quantum-dot composition, crystallinity and defects - and, in turn, on the third-order optical susceptibility of the composite material. Examples from recent work in our laboratories are used to illustrate these effects.
Rhodes, Mark A. (Pleasanton, CA)
2008-10-21
A bipolar pulse forming transmission line module for linear induction accelerators having first, second, third, fourth, and fifth planar conductors which form an interleaved stack with dielectric layers between the conductors. Each conductor has a first end, and a second end adjacent an acceleration axis. The first and second planar conductors are connected to each other at the second ends, the fourth and fifth planar conductors are connected to each other at the second ends, and the first and fifth planar conductors are connected to each other at the first ends via a shorting plate adjacent the first ends. The third planar conductor is electrically connectable to a high voltage source, and an internal switch functions to short a high voltage from the first end of the third planar conductor to the first end of the fourth planar conductor to produce a bipolar pulse at the acceleration axis with a zero net time integral. Improved access to the switch is enabled by an aperture through the shorting plate and the proximity of the aperture to the switch.
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TEPP - Exercise Evaluation Forms TEPP - Exercise Evaluation Forms Hazardous Materials Exercise Evaluation Forms Exercise Evaluation Forms More Documents & Publications Transuranic...
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Uttam Ghosh; Srijan Sengupta; Susmita Sarkar; Shantanu Das
2015-09-07
The solution of non-linear differential equation, non-linear partial differential equation and non-linear fractional differential equation is current research in Applied Science. Here tanh-method and Fractional Sub-Equation methods are used to solve three non-linear differential equations and the corresponding fractional differential equation. The fractional differential equations here are composed with Jumarie fractional derivative. Both the solution is obtained in analytical traveling wave solution form. We have not come across solutions of these equations reported anywhere earlier.
Nonlinear Dynamics of Particles Excited by an Electric Curtain
Owen D. Myers; Junru Wu; Jeffrey S. Marshall
2014-11-10
The use of the electric curtain (EC) has been proposed for manipulation and control of particles in various applications. The EC studied in this paper is called the 2-phase EC, which consists of a series of long parallel electrodes embedded in a thin dielectric surface. The EC is driven by an oscillating electric potential of a sinusoidal form where the phase difference of the electric potential between neighboring electrodes is 180 degrees. We investigate the one- and two-dimensional nonlinear dynamics of a particle in an EC field. The form of the dimensionless equations of motion is codimension two, where the dimensionless control parameters are the interaction amplitude ($A$) and damping coefficient ($\\beta$). Our focus on the one-dimensional EC is primarily on a case of fixed $\\beta$ and relatively small $A$, which is characteristic of typical experimental conditions. We study the nonlinear behaviors of the one-dimensional EC through the analysis of bifurcations of fixed points. We analyze these bifurcations by using Floquet theory to determine the stability of the limit cycles associated with the fixed points in the Poincar\\'e sections. Some of the bifurcations lead to chaotic trajectories where we then determine the strength of chaos in phase space by calculating the largest Lyapunov exponent. In the study of the two-dimensional EC we independently look at bifurcation diagrams of variations in $A$ with fixed $\\beta$ and variations in $\\beta$ with fixed $A$. Under certain values of $\\beta$ and $A$, we find that no stable trajectories above the surface exists; such chaotic trajectories are described by a chaotic attractor, for which the the largest Lyapunov exponent is found. We show the well-known stable oscillations between two electrodes come into existence for variations in $A$ and the transitions between several distinct regimes of stable motion for variations in $\\beta$.
A Lower Bound on the per Soliton Capacity of the Nonlinear Optical Fibre Channel
Shevchenko, Nikita A; Derevyanko, Stanislav A; Alvarado, Alex; Bayvel, Polina; Turitsyn, Sergei K
2015-01-01
A closed-form expression for a lower bound on the per soliton capacity of the nonlinear optical fibre channel in the presence of (optical) amplifier spontaneous emission (ASE) noise is derived. This bound is based on a non-Gaussian conditional probability density function for the soliton amplitude jitter induced by the ASE noise and is proven to grow logarithmically as the signal-to-noise ratio increases.
Medeu Abishev; Yerlan Aimuratov; Yermek Aldabergenov; Nurzada Beissen; Meruert Takibayeva
2014-12-11
We consider the propagation of X-ray and gamma ray emissions in strong magnetic and gravitational fields of the pulsar in nonlinear vacuum electrodynamics. We show that the radiation will spread from the pulsar to the detecting device in the form of two normal modes polarized in mutually orthogonal planes, and having different velocities. We have calculated the delay between the two modes, as they propagate from the pulsar to the detecting device.
Nonlinear nanomechanical oscillators for ultrasensitive inertial detection
Datskos, Panagiotis George; Lavrik, Nickolay V
2013-08-13
A system for ultrasensitive mass and/or force detection of this invention includes a mechanical oscillator driven to oscillate in a nonlinear regime. The mechanical oscillator includes a piezoelectric base with at least one cantilever resonator etched into the piezoelectric base. The cantilever resonator is preferably a nonlinear resonator which is driven to oscillate with a frequency and an amplitude. The system of this invention detects an amplitude collapse of the cantilever resonator at a bifurcation frequency as the cantilever resonator stimulated over a frequency range. As mass and/or force is introduced to the cantilever resonator, the bifurcation frequency shifts along a frequency axis in proportion to the added mass.
Canonical Duality Approach for Nonlinear Dynamical Systems
Ning Ruan; David Y. Gao
2012-06-12
This paper presents a canonical dual approach for solving a nonlinear population growth problem governed by the well-known logistic equation. Using the finite difference and least squares methods, the nonlinear differential equation is first formulated as a nonconvex optimization problem with unknown parameters. We then prove that by the canonical duality theory, this nonconvex problem is equivalent to a concave maximization problem over a convex feasible space, which can be solved easily to obtain global optimal solution to this challenging problem. Several illustrative examples are presented.
Adaptive Stabilization of Nonlinear Stochastic Systems
Florchinger, P. [URA CNRS No. 399, Departement de Mathematiques, UFR MIM, Universite de Metz, Ile du Saulcy, F 57045 Metz Cedex (France)
1998-07-15
The purpose of this paper is to study the problem of asymptotic stabilization in probability of nonlinear stochastic differential systems with unknown parameters. With this aim, we introduce the concept of an adaptive control Lyapunov function for stochastic systems and we use the stochastic version of Artstein's theorem to design an adaptive stabilizer. In this framework the problem of adaptive stabilization of a nonlinear stochastic system is reduced to the problem of asymptotic stabilization in probability of a modified system. The design of an adaptive control Lyapunov function is illustrated by the example of adaptively quadratically stabilizable in probability stochastic differential systems.
Derivation of an Applied Nonlinear Schroedinger Equation.
Pitts, Todd Alan; Laine, Mark Richard; Schwarz, Jens; Rambo, Patrick K.; Karelitz, David B.
2015-01-01
We derive from first principles a mathematical physics model useful for understanding nonlinear optical propagation (including filamentation). All assumptions necessary for the development are clearly explained. We include the Kerr effect, Raman scattering, and ionization (as well as linear and nonlinear shock, diffraction and dispersion). We explain the phenomenological sub-models and each assumption required to arrive at a complete and consistent theoretical description. The development includes the relationship between shock and ionization and demonstrates why inclusion of Drude model impedance effects alters the nature of the shock operator. Unclassified Unlimited Release
(Manuscript received 20 November 2007, in final form 28 March 2008) ABSTRACT Observations off the New Jersey coast document the shoaling of three groups of nonlinear internal waves of depression over 35 km across link in energy dissipation from the barotropic tide (e.g., Sandstrom and Elliott 1984; Sandstrom
Hans Cruz; Dieter Schuch; Octavio Castaños; Oscar Rosas-Ortiz
2015-05-11
The sensitivity of the evolution of quantum uncertainties to the choice of the initial conditions is shown via a complex nonlinear Riccati equation leading to a reformulation of quantum dynamics. This sensitivity is demonstrated for systems with exact analytic solutions with the form of Gaussian wave packets. In particular, one-dimensional conservative systems with at most quadratic Hamiltonians are studied.
STEP Utility Data Release Form
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STEP Utility Data Release Form, from the Tool Kit Framework: Small Town University Energy Program (STEP).
GENERATING JACOBI FORMS HOWARD SKOGMAN
Skogman, Howard
GENERATING JACOBI FORMS HOWARD SKOGMAN Abstract. In this paper we explore the relationship between vector-valued modular forms and Jacobi forms and give explicit relations over various congruence subgroups. The main result is that a Jacobi form of square-free index on the full Jacobi group is uniquely
Jacobi Forms Victoria de Quehen
Goren, Eyal Z.
Jacobi Forms Victoria de Quehen McGill University Sept 2010 Victoria de Quehen Jacobi Forms #12;History of Jacobi Forms Notation Let e(x) denote e2ix for x C. Let q = e() and = e(z) where H and z C. Jacobi forms are meant to be a natural generalization of Jacobi theta series. Definition Let L
Nonlinear optical studies of curcumin metal derivatives with cw laser
Henari, F. Z. Cassidy, S.
2015-03-30
We report on measurements of the nonlinear refractive index and nonlinear absorption coefficients for curcumin and curcumin metal complexes of boron, copper, and iron at different wavelengths using the Z-scan technique. These materials are found to be novel nonlinear media. It was found that the addition of metals slightly influences its nonlinearity. These materials show a large negative nonlinear refractive index of the order of 10{sup ?7} cm{sup 2}/W and negative nonlinear absorption of the order of 10{sup ?6} cm/W. The origin of the nonlinearity was investigated by comparison of the formalism that is known as the Gaussian decomposition model with the thermal lens model. The optical limiting behavior based on the nonlinear refractive index was also investigated.
Stability analysis for class of switched nonlinear systems
Shaker, Hamid Reza
Stability analysis for a class of switched nonlinear systems is addressed in this paper. Two linear matrix inequality (LMI) based sufficient conditions for asymptotic stability are proposed for switched nonlinear systems. ...
Nonlinear stochastic system identification techniques for biological tissues/
Chen, Yi, S.M. Massachusetts Institute of Technology
2010-01-01
This research develops a device capable of measuring the nonlinear dynamic mechanical properties of human tissue in vivo. The enabling technology is the use of nonlinear stochastic system identification techniques in ...
Nonlinear springs with applications to flow regulation valves and mechanisms
Freeman, David Calvin
2008-01-01
This thesis focuses on the application of nonlinear springs for fluid flow control valves where geometric constraints, or fabrication technologies, limit the use of available solutions. Types of existing nonlinear springs ...
Nonlinear Pricing Strategies and Market Concentration in the Airline Industry
Hernandez Garcia, Manuel A.
2010-10-12
This dissertation investigates the effect of market concentration on nonlinear pricing strategies in the airline industry. The study develops a theoretical nonlinear pricing model with both discrete product and consumer types to derive testable...
Nonlinear bayesian filtering with applications to estimation and navigation
Lee, Deok-Jin
2005-08-29
. First, as sampling-based nonlinear filters, the sigma point filters, the unscented Kalman fil- ter and the divided difference filter are investigated. Secondly, a direct numerical nonlinear filter is introduced where the state conditional probability...
Conference on Non-linear Phenomena in Mathematical Physics: Dedicated...
Office of Scientific and Technical Information (OSTI)
and the impact that her scientific work on transonic flow and the non-linear wave equation has had in recent progress on different aspects of analysis for non-linear wave,...
Optimization and Nonlinear Equations Gordon K. Smyth
Smyth, Gordon K.
Optimization and Nonlinear Equations Gordon K. Smyth May 1997 Optimization means to find that value of x which max imizes or minimizes a given function f(x). The idea of optimization goes to the heart with respect to the components of x. Except in linear cases, optimization and equation solving invariably
Nonlinear Conic Optimization --why and how--
Sidorov, Nikita
Nonlinear Conic Optimization --why and how-- Michal Kocvara School of Mathematics, The University Optimization 1 / 38 #12;Conic optimization "generalized" mathematical optimization problem min f(x) subject optimization, LCO convex convex conic optimization, CCO non-convex non-convex conic optimization, NCO Michal
ORIGINAL ARTICLE Nonlinear dielectric optomechanical metamaterials
Zheludev, Nikolay
ORIGINAL ARTICLE Nonlinear dielectric optomechanical metamaterials Jianfa Zhang1 , Kevin F MacDonald1 and Nikolay I Zheludev1,2 We introduce a dielectric photonic metamaterial presenting a giant Keywords: Metamaterial; optical bistability; optomechanical INTRODUCTION Optical forces are extremely
Nonlinear transmission and spatiotemporal solitons in metamaterials
Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction Nina A metamaterials with the left-handed properties in other frequency range. © 2005 Optical Society of America OCIS codes: (190.1450) Bistability; (190.5530) Pulse propagation and solitons; (999.9999) Metamaterials
The Fourth International Conference NONLINEAR DYNAMICS
Paris-Sud XI, Université de
The Fourth International Conference NONLINEAR DYNAMICS June, 19-22, 2013 PROCEEDINGS #12;Ministry of Mechanics NAS of Ukraine (Kiev, UKRAINE) McGill University (Montreal, CANADA) The Fourth International-617-669-100-6 4- The book of Proceedings includes extended abstracts of presentations on the Fourth International
Nonlinear Tracking Control of Underactuated Surface Vessel
Guo, Yi
Nonlinear Tracking Control of Underactuated Surface Vessel Wenjie Dong and Yi Guo Abstract-- We consider in this paper the tracking control problem of an underactuated surface vessel. Based that the proposed control laws are effective. I. INTRODUCTION Control of underactuated surface vessels has attracted
Nonlinear Contraction Tools for Constrained Optimization
Jonathan Soto; Jean-Jacques E. Slotine
2012-06-07
This paper describes new results linking constrained optimization theory and nonlinear contraction analysis. Generalizations of Lagrange parameters are derived based on projecting system dynamics on the tangent space of possibly time-varying constraints. The paper formalizes the intuition that, just as convexity rather than linearity is the key property in optimization, contraction rather than linearity is the key dynamical property in this context.
OUTPUT REGULATION OF NONLINEAR NEUTRAL SYSTEMS
Fridman, Emilia
OUTPUT REGULATION OF NONLINEAR NEUTRAL SYSTEMS Emilia Fridman1 Department of Electrical Engineering, Tel-Aviv University Ramat-Aviv, Tel-Aviv 69978, Israel emilia@eng.tau.ac.il Summary. Output regulation regulation, regulator equations, center manifold 1 Introduction One of the most important problems in control
Interior Point Methods, Nonlinear Models & Parallelisation
Grothey, Andreas
;Overview Asset and Liability Management Models Mean-Variance Formulation/Stochastic Programming Structure Grothey IPM, Nonlinear Models & Parallelisation #12;Portfolio Optimization: Asset and Liability Management and Liability Management A set of assets J = {1, ..., J} is given (e.g. bonds, stock, real estate). At every
Optimal Execution with Nonlinear Impact Functions
Almgren, Robert F.
cost per share to be a power law function of the trading rate, with an arbitrary positive exponentOptimal Execution with Nonlinear Impact Functions and Trading-Enhanced Risk Robert F. Almgren October 2001 Abstract We determine optimal trading strategies for liquidation of a large single
NONLINEAR EFFECTS IN WAVE SCATTERING AND GENERATION
NONLINEAR EFFECTS IN WAVE SCATTERING AND GENERATION Flow Interaction with Topography Roger Grimshaw for waves to be generated upstream and/or downstream. In many cases when the topographic feature has a small, the initial condition for the fKdV equation is u(x 0) = 0 so that the waves are generated directly by the ow
Estimating the uncertainty in underresolved nonlinear dynamics
Chorin, Alelxandre; Hald, Ole
2013-06-12
The Mori-Zwanzig formalism of statistical mechanics is used to estimate the uncertainty caused by underresolution in the solution of a nonlinear dynamical system. A general approach is outlined and applied to a simple example. The noise term that describes the uncertainty turns out to be neither Markovian nor Gaussian. It is argued that this is the general situation.
Commutative Relations for the Nonlinear Dirac Equation
Ying-Qiu Gu
2008-02-14
By constructing the commutative operators chain, we derive conditions for solving the eigenfunctions of Dirac equation and Schr\\"odinger type equation via separation of variables. Detailed calculation shows that, only a few cases can be completely reduced into ordinary differential equation system. So the effective perturbation or approximation methods for the resolution of the spinor equation are necessary, especially for the nonlinear cases.
Lyapunov Functions and Feedback in Nonlinear Control
Maume-Deschamps, VÃ©ronique
Lyapunov Functions and Feedback in Nonlinear Control Francis Clarke Professeur `a l@igd.univ-lyon1.fr Summary. The method of Lyapunov functions plays a central role in the study to consider nonsmooth Lyapunov functions, even if the underlying control dynamics are themselves smooth. We
Nonlinear optics via double dark resonances
Yelin, S. F.; Sautenkov, V. A.; Kash, M. M.; Welch, George R.; Lukin, M. D.
2003-01-01
prevailing even in the presence of considerable Doppler broadening. A gas of Rb-87 atoms is subjected to a strong drive laser and a weak probe laser and a radio frequency field, where the magnetic coupling between the Zeeman levels leads to nonlinear...
Anomalous optical nonlinearity of dielectric nanodispersions
Milichko, V A; Dzyuba, V P; Kul'chin, Yurii N
2013-06-30
We present the results of studying the nonlinear optical response of nanodispersions of semiconductor (TiO{sub 2}, ZnO) and dielectric (SiO{sub 2}, Al{sub 2}O{sub 3}) nanoparticles of spherical, spheroidal and flake shape, suspended in polar and nonpolar dielectric matrices (water, isopropanol, polymethylsiloxane and transformer oil) by means of z-scanning in the field of low-intensity visible laser radiation. It is found that, unlike semiconductor nanoparticles and particles of spherical shape, flake-shaped SiO{sub 2} and Al{sub 2}O{sub 3} nanoparticles suspended in nonpolar matrices exhibit nonlinear optical response within the intensity interval from 0 to 500 W cm{sup -2} that vanishes at higher intensities. The diagrams of energy states of the optical electrons in nanoparticles that allow explanation of differences in the nonlinear-optical properties of nanodispersions are proposed. Good agreement between the experimental and theoretical dependences of nonlinear refractive indices and absorption coefficients on the intensity of radiation is observed. (optical nanostructures)
Nonlinearity of Carbon Cycle Feedbacks KIRSTEN ZICKFELD
Schmittner, Andreas
properties and anthropogenic CO2. These findings suggest that metrics of carbon cycle feedback that pos, human activities have emitted large amounts of carbon dioxide (CO2) into the atmosphere (490 PgC fromNonlinearity of Carbon Cycle Feedbacks KIRSTEN ZICKFELD Canadian Centre for Climate Modelling
Random Walks and Nonlinear Dynamics in the
Frey, Erwin
in the experimental biophysics and state-of-the-art concepts of modern nonlinear dynamics and random-walk theory leading experts in cell biology and theoretical physics in order to tie recent advances: Visitors Program Mandy Lochar MPI for the Physics of Complex Systems Nöthnitzer Str. 38, D-01187 Dresden
NONLINEAR MAGNETIC LEVITATION OF AUTOMOTIVE ENGINE VALVES
Grizzle, Jessy W.
NONLINEAR MAGNETIC LEVITATION OF AUTOMOTIVE ENGINE VALVES K. Peterson, J.W. Grizzle, and A, the controller is designed for and implemented on an electromagnetic valve actuator for use in automotive engines on an electromagnetic valve actuator for use in the actuation of automotive engine valves. 2. ELECTROMAGNETIC VALVE
NONLINEAR MAGNETIC LEVITATION OF AUTOMOTIVE ENGINE VALVES
Stefanopoulou, Anna
NONLINEAR MAGNETIC LEVITATION OF AUTOMOTIVE ENGINE VALVES K. Peterson, J.W. Grizzle, and A, the controller is designed for and implemented on an electromagnetic valve actuator for use in automotive engines on an elec- tromagnetic valve actuator, designed for use in the actuation of automotive engine valves. 2
Nonlinear Integral Equations for the Inverse Problem in Corrosion ...
2012-06-15
Nonlinear Integral Equations for the Inverse. Problem in Corrosion Detection from Partial. Cauchy Data. Fioralba Cakoni. Department of Mathematical Sciences, ...
Allen, Matthew S.
Identifying parameters of nonlinear structural dynamic systems using linear time- periodic nonlinearity. 1. Introduction Most dynamical systems behave nonlinearly in the most general scenario. This can point bifurcation [1], in rotor dynamic systems with bearing contact nonlinearities [2], in biomechanics
Background Simulation Experiment Conclusion Hysteresis in the Nonlinear Tunnelling of Light
Petta, Jason
Background Simulation Experiment Conclusion Hysteresis in the Nonlinear Tunnelling of Light Through of Light Through a Barrier #12;Background Simulation Experiment Conclusion Outline 1 Background Nonlinear of Light Through a Barrier #12;Background Simulation Experiment Conclusion Nonlinear Optics Nonlinear
A Finite Element Method for Fully Nonlinear and General Quasilinear Elliptic Problems
Pryer, Tristan
2011-01-01
We present a continuous finite element method for fully nonlinear elliptic equations. The tools we use are (1) a Newton linearisation, yielding a sequence of linear PDEs in nonvariational form and (2) the discretisation proposed in [LP11] allowing us to work directly on the strong form of a linear PDE. An added benefit to making use of this discretisation method is that a recovered (finite element) Hessian is a biproduct of the solution process. Benchmark numerical results illustrate the convergence properties of the scheme for some test problems.
Nonlinearly-enhanced energy transport in many dimensional quantum chaos
D. S. Brambila; A. Fratalocchi
2013-01-22
By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multidimensional quantum chaos. Parallel numerical simulations and analytic theory demonstrate that the interplay between nonlinearity and Anderson localization establishes a perfectly classical correspondence in the system, neglecting any quantum time reversal. The resulting dynamics exhibits a nonlinearly-induced, enhanced transport of energy through soliton wave particles.
Proportional and Proportional-Integral Controllers for a Nonlinear Hydraulic
De Persis, Claudio
Proportional and Proportional-Integral Controllers for a Nonlinear Hydraulic Network Claudio DE in a nonlinear hydraulic network of a reduced-size yet meaningful district heating system with two end-users. Exploiting the analogy between electrical and hydraulic networks, we derive a nonlinear model for the system
Nonlinear optics: The next decade Yuri S. Kivshar
Nonlinear optics: The next decade Yuri S. Kivshar Center for Ultra-high bandwidth Devices for Optical Systems (CUDOS), Nonlinear Physics Center, Research School of Physical Sciences and Engineering assembled of invited papers in key areas of nonlinear optics (Editors: J.M. Dudley and R.W. Boyd
Nonlinear effect on quantum control for two-level systems
W. Wang; J. Shen; X. X. Yi
2009-06-05
The traditional quantum control theory focuses on linear quantum system. Here we show the effect of nonlinearity on quantum control of a two-level system, we find that the nonlinearity can change the controllability of quantum system. Furthermore, we demonstrate that the Lyapunov control can be used to overcome this uncontrollability induced by the nonlinear effect.
Movement Imitation with Nonlinear Dynamical Systems in Humanoid Robots
Baltes, Jacky
Movement Imitation with Nonlinear Dynamical Systems in Humanoid Robots Auke Jan Ijspeert & Jun movement plans based on a set of nonlinear differential equations with well-defined attrac- tor dynamics of an adjustable pattern generator built from simple nonlinear autonomous dynamical sys- tems. The desired
Nonlinear Hybrid Dynamical Systems: Modeling, Optimal Control, and Applications
Stryk, Oskar von
Nonlinear Hybrid Dynamical Systems: Modeling, Optimal Control, and Applications Martin Buss1¨unchen, Germany Abstract. Nonlinear hybrid dynamical systems are the main focus of this paper. A modeling Introduction The recent interest in nonlinear hybrid dynamical systems has forced the merger of two very
Parameterized Model Order Reduction of Nonlinear Dynamical Systems
Reif, Rafael
Parameterized Model Order Reduction of Nonlinear Dynamical Systems Brad Bond Research Laboratory reduction technique for non-linear systems. Our approach combines an existing non-parameterized trajectory piecewise linear method for non-linear systems, with an existing moment matching param- eterized technique
Learning Nonlinear Dynamical Systems using an EM Algorithm
Edinburgh, University of
Learning Nonlinear Dynamical Systems using an EM Algorithm Zoubin Ghahramani and Sam T. Roweis present a generalization of the EM algorithm for parameter estimation in nonlinear dynamical systems Nonlinear Dynamical Systems We examine inference and learning in discrete-time dynamical systems with hidden
Novel approximations for inference and learning in nonlinear dynamical systems
Heskes, Tom
Novel approximations for inference and learning in nonlinear dynamical systems Alexander Ypma #3 from marketing research. 1 Introduction Many real-world systems are nonlinear, dynamical and stochastic in nature. Inference and learning of nonlinear system models with hidden dynamics is a diÆcult task, which
Chaos in Nonlinear Dynamical Systems Helicopter Flight-data Analysis
Taylor, James H.
Chaos in Nonlinear Dynamical Systems Helicopter Flight-data Analysis James H. Taylor1 and S of chaos in nonlinear dynamical systems is discussed, and approaches for the identification of chaos can only occur in systems with nonlinear dynamics. The recognition of chaos in a complex dynamical
Input-ouput approximation for nonlinear structural dynamics
Beaver, Stefanie Rene'
2009-05-15
. Nonlinear Assumed Model with Fixed Rotation Rate . 51 V NONLINEAR INPUT-OUTPUT APPROXIMATION . . . . . . 54 A. Algorithm Overview . . . . . . . . . . . . . . . . . . . . . 54 B. Linear Input-Output Approximation . . . . . . . . . . . . 57 C. Least Squares.... Quadratic Assumed Modes with Higher-Order Terms . 77 ix CHAPTER Page 2. Application of Nonlinear Input-Output Approxi- mation Algorithm . . . . . . . . . . . . . . . . . . . . 81 a. Linear Input-Output Approximation . . . . . . . 82 b. Least Squares...
NONLINEAR TIME-INVARIANT FEEDBACK CONTROL OF AN UNDERACTUATED MARINE
Zimmer, Uwe
NONLINEAR TIME-INVARIANT FEEDBACK CONTROL OF AN UNDERACTUATED MARINE VEHICLE ALONG A STRAIGHT: A nonlinear, closed-loop, time-invariant controller that globally stabilizes an underactuated marine vehicle: Marine systems, nonlinear control, tracking. 1. INTRODUCTION Consider a marine vehicle moving in the hori
Approximate Method To Determine The Worst Case Performance Of A Nonlinear Dynamical System
Tongue, Benson H.; Packard, Andrew
1998-01-01
Case Performance of a Nonlinear Dynamical System Benson H.Case Performance of a Nonlinear Dynamical System Benson H.
Artemyev, A. V. Vasiliev, A. A.; Mourenas, D.; Krasnoselskikh, V. V.
2014-10-15
In this paper, we consider high-energy electron scattering and nonlinear trapping by oblique whistler waves via the Landau resonance. We use recent spacecraft observations in the radiation belts to construct the whistler wave model. The main purpose of the paper is to provide an estimate of the critical wave amplitude for which the nonlinear wave-particle resonant interaction becomes more important than particle scattering. To this aim, we derive an analytical expression describing the particle scattering by large amplitude whistler waves and compare the corresponding effect with the nonlinear particle acceleration due to trapping. The latter is much more rare but the corresponding change of energy is substantially larger than energy jumps due to scattering. We show that for reasonable wave amplitudes ?10–100?mV/m of strong whistlers, the nonlinear effects are more important than the linear and nonlinear scattering for electrons with energies ?10–50?keV. We test the dependencies of the critical wave amplitude on system parameters (background plasma density, wave frequency, etc.). We discuss the role of obtained results for the theoretical description of the nonlinear wave amplification in radiation belts.
Spherically symmetric analysis on open FLRW solution in non-linear massive gravity
Chiang, Chien-I; Izumi, Keisuke; Chen, Pisin E-mail: izumi@phys.ntu.edu.tw
2012-12-01
We study non-linear massive gravity in the spherically symmetric context. Our main motivation is to investigate the effect of helicity-0 mode which remains elusive after analysis of cosmological perturbation around an open Friedmann-Lemaitre-Robertson-Walker (FLRW) universe. The non-linear form of the effective energy-momentum tensor stemming from the mass term is derived for the spherically symmetric case. Only in the special case where the area of the two sphere is not deviated away from the FLRW universe, the effective energy momentum tensor becomes completely the same as that of cosmological constant. This opens a window for discriminating the non-linear massive gravity from general relativity (GR). Indeed, by further solving these spherically symmetric gravitational equations of motion in vacuum to the linear order, we obtain a solution which has an arbitrary time-dependent parameter. In GR, this parameter is a constant and corresponds to the mass of a star. Our result means that Birkhoff's theorem no longer holds in the non-linear massive gravity and suggests that energy can probably be emitted superluminously (with infinite speed) on the self-accelerating background by the helicity-0 mode, which could be a potential plague of this theory.
STUDENT FORM GENERAL RELEASE FORM & ASSUMPTION OF RISK
Schaefer, Marcus
STUDENT FORM GENERAL RELEASE FORM & ASSUMPTION OF RISK DePaul University School of Cinematic Arts I that while enrolling in the Course may be a requirement for achieving my degree in Cinematic Arts at De
VENDOR CONFERENCE ROOM REQUEST FORM Only One Event Per Form
Brent, Roger
VENDOR CONFERENCE ROOM REQUEST FORM Only One Event Per Form CONTACT INFORMATION Contact Name Signature ______________________________________________ (Required) REQUESTED CONFERENCE ROOM Date request for a conference room is not confirmed until you receive a confirmation from Meeting & Event
Anlage, Steven
Training and Research Experiences in Nonlinear DynamicsTraining and Research Experiences Shew, Santiago Triana, Daniel Zimmerman, and John Rodgers #12;Training and Research Experiences in Nonlinear DynamicsTraining and Research Experiences in Nonlinear Dynamics TREND 2004TREND 2004 Our Goals: u
Anlage, Steven
Training and Research Experiences in Nonlinear DynamicsTraining and Research Experiences, Woodrow Shew, Daniel Sisan, Santiago Triana, Daniel Zimmerman #12;Training and Research Experiences in Nonlinear DynamicsTraining and Research Experiences in Nonlinear Dynamics TREND 2003TREND 2003 Our Goal: u
Instability and Evolution of Nonlinearly Interacting Water Waves
P. K. Shukla; I. Kourakis; B. Eliasson; M. Marklund; L. Stenflo
2006-08-07
We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair of two-dimensional coupled nonlinear Schroedinger equations. We derive a nonlinear dispersion relation. The latter is numerically analyzed to obtain the regions and the associated growth rates of the modulational instability. Furthermore, we follow the long term evolution of the latter by means of computer simulations of the governing nonlinear equations and demonstrate the formation of localized coherent wave envelopes. Our results should be useful for understanding the formation and nonlinear propagation characteristics of large amplitude freak waves in deep water.
Helmreich, Stefan
We deliver a "keyword" account of the term life form as it has been used in natural philosophy and biology over the last two hundred years, beginning with its appearance in German as Lebensform. We argue that life form ...
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Enhanced Kerr electro-optic nonlinearity through cascaded Pockels effects
Li, Guang-Zhen; Jiang, Hao-Wei; Chen, Xian-Feng
2015-01-01
We demonstrated a large enhancement of Kerr electro-optic nonlinearity through cascaded Pockels effects in a domain inversion ferroelectric crystal. We designed a structure that can implement the cascaded Pockels effects and second-harmonic generation simultaneously. The energy coupling between the fundamental lights of different polarizations led to a large nonlinear phase shift, and thus an effective electro-optic nonlinear refractive index. The effective nonlinearity can be either positive or negative, causing the second-harmonic spectra to move towards the coupling center, which in turn, offered us a way to measure the effective electro-optic nonlinear refractive index. The corresponding enhanced Kerr electro-optic nonlinearity is more than three orders of magnitude higher than the intrinsic value. These results open a door to manipulate the nonlinear phase by applying external electric field instead of light intensity in noncentrosymmetric crystals.
Assessor Training NVLAP Assessment Forms
NVLAP Assessor Training NVLAP Assessment Forms #12;Assessor Training 2009: NVLAP Assessment Forms 2 Summary ·Test Method Review Summary ·ProgramSpecific Checklists Examples #12;Assessor Training 2009: NVLAP are completed · Assessor Names, Dates, Lab Code #12;Assessor Training 2009: NVLAP Assessment Forms 4 NIST
Studies of nonlinear electrodynamics of high-temperature superconductors
Lam, Quan-Chiu H.
1991-08-01
Nonlinear electrodynamics of high-{Tc} superconductors are studied both theoretically and experimentally. For powdered samples, a novel model is presented in which the metallographically observed superconducting grains in the powder are modeled as superconducting current loops of various areas with weak links. Surprising harmonic generation behavior in an arc field, H{sub 1} cos({omega}t), is predicted by the model; the power at high harmonics show sharp dips almost periodic in a superposing dc magnetic field, revealing flux quantization in the prototype loops in the model. Such oscillation of the harmonic power in dc magnetic field P{sub nf}(H{sub dc}), is indeed experimentally observed in powdered YBa{sub 2}Cu{sub 3}O{sub 7}. Other experimental aspects also agree with model predictions. For bulk sintered cylindrical samples, a generalized critical state model is presented. In this model, the nonlinear electrodynamics are due to flux-pinning, somewhat similar to low-temperature type-II superconductors, but with a more generalized critical current densities' dependence on magnetic field -- J{sub c}(H){approximately}H{sub local}{sup -{beta}}, with {beta} being an adjustable parameter. Experiments in ac and dc magnetic fields on a sintered cylindrical rod of YBa{sub 2}Cu{sub 3}O{sub 7} yield unambiguous evidence of independent inter- and intragranular contributions to the complex harmonic permeability {tilde {mu}}{sub n} = {mu}{prime}{sub n} -i{mu}{double prime}{sub n}. Temperature- dependence measurements reveal that, while the intragranular supercurrents disappear at {Tc}{ge}91.2 K, the intergranular supercurrents disappear at T{ge}86.6 K. This result is, to our knowledge, the first clear measurement of the phase-locking temperature of the 3-D matrix formed by YBa{sub 2}Cu{sub 3}O{sub 7} grains, which are in electrical contact with one another through weak links.
Studies of nonlinear electrodynamics of high-temperature superconductors
Lam, Quan-Chiu H.
1991-08-01
Nonlinear electrodynamics of high-{Tc} superconductors are studied both theoretically and experimentally. For powdered samples, a novel model is presented in which the metallographically observed superconducting grains in the powder are modeled as superconducting current loops of various areas with weak links. Surprising harmonic generation behavior in an arc field, H{sub 1} cos({omega}t), is predicted by the model; the power at high harmonics show sharp dips almost periodic in a superposing dc magnetic field, revealing flux quantization in the prototype loops in the model. Such oscillation of the harmonic power in dc magnetic field P{sub nf}(H{sub dc}), is indeed experimentally observed in powdered YBa{sub 2}Cu{sub 3}O{sub 7}. Other experimental aspects also agree with model predictions. For bulk sintered cylindrical samples, a generalized critical state model is presented. In this model, the nonlinear electrodynamics are due to flux-pinning, somewhat similar to low-temperature type-II superconductors, but with a more generalized critical current densities` dependence on magnetic field -- J{sub c}(H){approximately}H{sub local}{sup -{beta}}, with {beta} being an adjustable parameter. Experiments in ac and dc magnetic fields on a sintered cylindrical rod of YBa{sub 2}Cu{sub 3}O{sub 7} yield unambiguous evidence of independent inter- and intragranular contributions to the complex harmonic permeability {tilde {mu}}{sub n} = {mu}{prime}{sub n} -i{mu}{double_prime}{sub n}. Temperature- dependence measurements reveal that, while the intragranular supercurrents disappear at {Tc}{ge}91.2 K, the intergranular supercurrents disappear at T{ge}86.6 K. This result is, to our knowledge, the first clear measurement of the phase-locking temperature of the 3-D matrix formed by YBa{sub 2}Cu{sub 3}O{sub 7} grains, which are in electrical contact with one another through weak links.
Nonlinear Electromagnetic Interactions in Energetic Materials
Wood, M A; Moore, D S
2015-01-01
We study the scattering of electromagnetic waves in anisotropic energetic materials. Nonlinear light-matter interactions in molecular crystals result in frequency-conversion and polarization changes. Applied electromagnetic fields of moderate intensity can induce these nonlinear effects without triggering chemical decomposition, offering a mechanism for non-ionizing identification of explosives. We use molecular dynamics simulations to compute such two-dimensional Raman spectra in the terahertz range for planar slabs made of PETN and ammonium nitrate. We discuss third-harmonic generation and polarization-conversion processes in such materials. These observed far-field spectral features of the reflected or transmitted light may serve as an alternative tool for stand-off explosive detection.
On the Fock Transformation in Nonlinear Relativity
Bouda, A
2012-01-01
In this paper, we propose a new deformed Poisson brackets which leads to the Fock coordinate transformation by using an analogous procedure as in Deformed Special Relativity. We therefore derive the corresponding momentum transformation which is revealed to be different from previous results. Contrary to the earlier version of Fock's nonlinear relativity for which plane waves cannot be described, our resulting algebra keeps invariant for any coordinate and momentum transformations the four dimensional contraction $p_{\\mu} x^{\\mu} $, allowing therefore to associate plane waves for free particles. As in Deformed Special Relativity, we also derive a canonical transformation with which the new coordinates and momentum satisfy the usual Poisson brackets and therefore transform like the usual Lorentz vectors. Finally, we establish the dispersion relation for Fock's nonlinear relativity.
Consistent nonlinear dynamics: identifying model inadequacy
Patrick E. McSharry; Leonard A. Smith
2004-03-09
Empirical modelling often aims for the simplest model consistent with the data. A new technique is presented which quantifies the consistency of the model dynamics as a function of location in state space. As is well-known, traditional statistics of nonlinear models like root-mean-square (RMS) forecast error can prove misleading. Testing consistency is shown to overcome some of the deficiencies of RMS error, both within the perfect model scenario and when applied to data from several physical systems using previously published models. In particular, testing for consistent nonlinear dynamics provides insight towards (i) identifying when a delay reconstruction fails to be an embedding, (ii) allowing state dependent model selection and (iii) optimising local neighbourhood size. It also provides a more relevant (state dependent) threshold for identifying false nearest neighbours.
Stable nonlinear Mach-Zehnder fiber switch
Digonnet, Michel J. F. (Palo Alto, CA); Shaw, H. John (Palo Alto, CA); Pantell, Richard H. (Menlo Park, CA); Sadowski, Robert W. (Camp Doha, KW)
1999-01-01
An all-optical fiber switch is implemented within a short Mach-Zehnder interferometer configuration. The Mach-Zehnder switch is constructed to have a high temperature stability so as to minimize temperature gradients and other thermal effects which result in undesirable instability at the output of the switch. The Mach-Zehnder switch of the preferred embodiment is advantageously less than 2 cm in length between couplers to be sufficiently short to be thermally stable, and full switching is accomplished by heavily doping one or both of the arms between the couplers so as to provide a highly nonlinear region within one or both of the arms. A pump input source is used to affect the propagation characteristics of one of the arms to control the output coupling ratio of the switch. Because of the high nonlinearity of the pump input arm, low pump powers can be used, thereby alleviating difficulties and high cost associated with high pump input powers.
Non-linear Fractal Interpolating Functions
R. Kobes; H. Letkeman
2001-12-07
We consider two non-linear generalizations of fractal interpolating functions generated from iterated function systems. The first corresponds to fitting data using a Kth-order polynomial, while the second relates to the freedom of adding certain arbitrary functions. An escape-time algorithm that can be used for such systems to generate fractal images like those associated with Julia or Mandelbrot sets is also described.
Computing nonlinear force free coronal magnetic fields
T. Wiegelmann; T. Neukirch
2008-01-21
Knowledge of the structure of the coronal magnetic field is important for our understanding of many solar activity phenomena, e.g. flares and CMEs. However, the direct measurement of coronal magnetic fields is not possible with present methods, and therefore the coronal field has to be extrapolated from photospheric measurements. Due to the low plasma beta the coronal magnetic field can usually be assumed to be approximately force free, with electric currents flowing along the magnetic field lines. There are both observational and theoretical reasons which suggest that at least prior to an eruption the coronal magnetic field is in a nonlinear force free state. Unfortunately the computation of nonlinear force free fields is way more difficult than potential or linear force free fields and analytic solutions are not generally available. We discuss several methods which have been proposed to compute nonlinear force free fields and focus particularly on an optimization method which has been suggested recently. We compare the numerical performance of a newly developed numerical code based on the optimization method with the performance of another code based on an MHD relaxation method if both codes are applied to the reconstruction of a semi-analytic nonlinear force-free solution. The optimization method has also been tested for cases where we add random noise to the perfect boundary conditions of the analytic solution, in this way mimicking the more realistic case where the boundary conditions are given by vector magnetogram data. We find that the convergence properties of the optimization method are affected by adding noise to the boundary data and we discuss possibilities to overcome this difficulty.
Chaos and Control in Nonlinear Bloch System
B. Rakshit; P. Saha; A. Roy. Chowdhury
2005-01-03
The dynamics of two nonlinear Bloch systems is studied from the viewpoint of bifur- cation and a particular parameter space has been explored for the stability analysis based on stability criterion. This enables the choice of the desired unstable periodic orbit from the numerous unstable ones present within the attractor through the pro- cess of closed return pairs. A generalized active control method have been discussed for two Bloch systems arising from di erent initial conditions.
Utility System Simulation: A Nonlinear Approach
Delk, S. R.
1988-01-01
SIMULATION: A NONLINEAR APPROACH STEPHEN R. DELK, P.E. Owner The MESA Company The Woodlands, Texas ABSTRACT Computer simulation of plant utility systems allows an engineer to rapidly I) analyze operation changes, 2) analyze design changes..., and 3) optimize the steam/electric system for the lowest operating cost. MESA (Modular Energy System Analyzer) is a PC-based computer program that can be configured to accurately simulate plant utility systems. MESA uses a modular modeling approach...
Nonlinear optical and conductive polymeric material
Barton, T.J.; Ijadi-Maghsooodi, S; Yi Pang.
1993-10-19
A polymeric material is described which exhibits nonlinear optical properties if undoped and conductive properties if doped. The polymer is prepared by polymerizing diethynylsilane compositions, the resulting polymeric material having a weight average molecular weight between about 20,000 and about 200,000 grams per mole. The polymer is prepared and catalytically polymerized by exposure to a catalyst, such as MoCl[sub 5] or W(CO)[sub 6].
Nonlinear diffusion in Acetone-Benzene Solution
Obukhovsky, Vjacheslav V
2010-01-01
The nonlinear diffusion in multicomponent liquids under chemical reactions influence has been studied. The theory is applied to the analysis of mass transfer in a solution of acetone-benzene. It has been shown, that the creation of molecular complexes should be taken into account for the explanation of the experimental data on concentration dependence of diffusion coefficients. The matrix of mutual diffusivities has been found and effective parameters of the system have been computed.
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Sajjadi, Shahrdad G; Drullion, Frederique
2014-01-01
A review of three-dimensional waves on deep-water is presented. Three forms of three dimensionality, namely oblique, forced and spontaneous type, are identified. An alternative formulation for these three-dimensional waves is given through cubic nonlinear Schr\\"odinger equation. The periodic solutions of the cubic nonlinear Schr\\"odinger equation are found using Weierstrass elliptic $\\wp$ functions. It is shown that the classification of solutions depends on the boundary conditions, wavenumber and frequency. For certain parameters, Weierstrass $\\wp$ functions are reduced to periodic, hyperbolic or Jacobi elliptic functions. It is demonstrated that some of these solutions do not have any physical significance. An analytical solution of cubic nonlinear Schr\\"odinger equation with wind forcing is also obtained which results in how groups of waves are generated on the surface of deep water in the ocean. In this case the dependency on the energy-transfer parameter, from wind to waves, make either the groups of wav...
Kumar, Rakesh
2015-01-01
This investigation deals with the analysis of stagnation point heat transfer and corresponding flow features of hydromagnetic viscous incompressible fluid over a vertical shrinking sheet. The considered sheet is assumed to be permeable and subject to addition of stagnation point to control the generated vorticity in the boundary layer. The sheet is placed on the right side of the fluid saturated porous medium which is having permeability of specified form. Nonlinear convection waves in the flow field are realized due to the envisaged nonlinear relation between density and temperature. The equations governing the nonlinear convection boundary layer flow are modeled and simplified using similarity transformations. The economized equations are solved for numerical solutions by employing the implicit finite difference scheme also known as Keller-box method. The influence of the associated parameters of the problem on velocity and temperature distributions, skin friction and rate of heat transfer are presented thr...
Nonlinear time-series analysis revisited
Elizabeth Bradley; Holger Kantz
2015-03-25
In 1980 and 1981, two pioneering papers laid the foundation for what became known as nonlinear time-series analysis: the analysis of observed data---typically univariate---via dynamical systems theory. Based on the concept of state-space reconstruction, this set of methods allows us to compute characteristic quantities such as Lyapunov exponents and fractal dimensions, to predict the future course of the time series, and even to reconstruct the equations of motion in some cases. In practice, however, there are a number of issues that restrict the power of this approach: whether the signal accurately and thoroughly samples the dynamics, for instance, and whether it contains noise. Moreover, the numerical algorithms that we use to instantiate these ideas are not perfect; they involve approximations, scale parameters, and finite-precision arithmetic, among other things. Even so, nonlinear time-series analysis has been used to great advantage on thousands of real and synthetic data sets from a wide variety of systems ranging from roulette wheels to lasers to the human heart. Even in cases where the data do not meet the mathematical or algorithmic requirements to assure full topological conjugacy, the results of nonlinear time-series analysis can be helpful in understanding, characterizing, and predicting dynamical systems.
Using the scalable nonlinear equations solvers package
Gropp, W.D.; McInnes, L.C.; Smith, B.F.
1995-02-01
SNES (Scalable Nonlinear Equations Solvers) is a software package for the numerical solution of large-scale systems of nonlinear equations on both uniprocessors and parallel architectures. SNES also contains a component for the solution of unconstrained minimization problems, called SUMS (Scalable Unconstrained Minimization Solvers). Newton-like methods, which are known for their efficiency and robustness, constitute the core of the package. As part of the multilevel PETSc library, SNES incorporates many features and options from other parts of PETSc. In keeping with the spirit of the PETSc library, the nonlinear solution routines are data-structure-neutral, making them flexible and easily extensible. This users guide contains a detailed description of uniprocessor usage of SNES, with some added comments regarding multiprocessor usage. At this time the parallel version is undergoing refinement and extension, as we work toward a common interface for the uniprocessor and parallel cases. Thus, forthcoming versions of the software will contain additional features, and changes to parallel interface may result at any time. The new parallel version will employ the MPI (Message Passing Interface) standard for interprocessor communication. Since most of these details will be hidden, users will need to perform only minimal message-passing programming.
S. H. Hendi; S. Panahiyan; B. Eslam Panah
2015-06-24
In this paper, we take into account the black hole solutions of Einstein gravity with logarithmic and exponential forms of nonlinear electrodynamics. We consider $\\Lambda$ as a dynamical pressure to study the analogy of the black holes with the Van der Waals system. We plot P-v, T-v and G-T diagrams and investigate the phase transition of adS black holes in the canonical ensemble. We study the nonlinearity effects of electrodynamics and see how the power of nonlinearity affects critical behavior. We also investigate the effects of dimensionality on the critical values and analyze its crucial role. Moreover, we show the changes in the universal ratio P_{c}v_{c}/T_{c} for variation of different parameters. In addition, we make a comparison between linear and nonlinear electrodynamics and show that the lowest critical temperature belongs to Maxwell theory. Also, we make some arguments regarding to how power of nonlinearity brings the system to Schwarzschild-like and Reissner-Nordstrom-like limitations. Next, we study the critical behavior in context of heat capacity. We show that critical behavior of system is similar to one in phase diagrams of extended phase space. We point out that phase transition points of the extended phase space only appear as divergencies of heat capacity. We also extend the study of phase transitions through GTD method. We introduce two new metrics and show that divergencies of TRS of the new metrics coincide with phase transitions. The characteristic behavior of these divergencies, hence critical points is exactly the one that is obtained in extended phase space and heat capacity. We also introduce a new method for obtaining critical pressure and horizon radius by considering denominator of the heat capacity. We show that there are several benefits that make this approach favorable comparing to other ones.
Nonlinear-optical and structural properties of nanocrystalline silicon carbide films
Brodyn, M. S.; Volkov, V. I. Lyakhovetskii, V. R.; Rudenko, V. I.; Puzilkov, V. M.; Semenov, A. V.
2012-02-15
The aim of this study is to investigate the nonlinearity of refraction in nanostructured silicon carbide films depending on their structural features (synthesis conditions for such films, substrate temperature during their deposition, concentration of the crystalline phase in the film, Si/C ratio of atomic concentrations in the film, and size of SiC nanocrystals formed in the film). The corresponding dependences are obtained, as well as the values of nonlinear-optical third-order susceptibility {chi}{sup (3)}({omega}; {omega}, -{omega}, {omega}) for various silicon polytypes (3C, 21R, and 27R) which exceed the value of {chi}{sup (3)} in bulk silicon carbide single crystals by four orders of magnitude.
A Stabilised Nodal Spectral Element Method for Fully Nonlinear Water Waves
Engsig-Karup, Allan Peter; Bigoni, Daniele
2015-01-01
We present an arbitrary-order spectral element method for general-purpose simulation of non-overturning water waves, described by fully nonlinear potential theory. The method can be viewed as a high-order extension of the classical finite element method proposed by Cai et al (1998) \\cite{CaiEtAl1998}, although the numerical implementation differs greatly. Features of the proposed spectral element method include: nodal Lagrange basis functions, a general quadrature-free approach and gradient recovery using global $L^2$ projections. The quartic nonlinear terms present in the Zakharov form of the free surface conditions can cause severe aliasing problems and consequently numerical instability for marginally resolved or very steep waves. We show how the scheme can be stabilised through a combination of over-integration of the Galerkin projections and a mild spectral filtering on a per element basis. This effectively removes any aliasing driven instabilities while retaining the high-order accuracy of the numerical...
Non-linear Ion-wake Excitation by Ultra-relativistic Electron Wakefields
Sahai, Aakash A
2015-01-01
The excitation of a non-linear ion-wake by a train of ultra-relativistic plasmons is modeled and its use for a novel regime of positron acceleration is explored. Its channel-like structure is independent of the energy-source driving the bubble-shaped slowly-propagating high phase-velocity electron density waves. The back of the bubble electron compression sucks-in the ions and the space-charge within the bubble expels them, forming a near-void channel with on-axis and bubble-edge density-spikes. The channel-edge density-spike is driven radially outwards as a non-linear ion acoustic-wave by the wake electron thermal pressure. OSIRIS PIC simulations are used to study the ion-wake structure, its evolution and its use for positron acceleration.
Non-linear equations for electron waves in Maxwellian low-collision ion-electron plasmas
Soshnikov, V N
2008-01-01
The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic equations, and the use of 2D Laplace transform method are applied to an evaluation of collision damping decrements of plane electron longitudinal and transverse waves. Damping decrement tends to infinity when the wave frequency tends to electron Langmuir frequency from above values. We considered recurrent relations for amplitudes of the overtones which form in their sum the all solution of the plasma wave non-linear equations including collision damping and quadratic (non-linear) terms. Collisionless damping at frequencies more the Langmuir one is possible only in non-Maxwellian plasmas.
Unstaggered-staggered solitons in two-component discrete nonlinear Schr\\"{o}dinger lattices
Malomed, Boris A; Van Gorder, Robert A
2012-01-01
We present stable bright solitons built of coupled unstaggered and staggered components in a symmetric system of two discrete nonlinear Schr\\"{o}dinger (DNLS) equations with the attractive self-phase-modulation (SPM) nonlinearity, coupled by the repulsive cross-phase-modulation (XPM) interaction. These mixed modes are of a "symbiotic" type, as each component in isolation may only carry ordinary unstaggered solitons. The results are obtained in an analytical form, using the variational and Thomas-Fermi approximations (VA and TFA), and the generalized Vakhitov-Kolokolov (VK) criterion for the evaluation of the stability. The analytical predictions are verified against numerical results. Almost all the symbiotic solitons are predicted by the VA quite accurately, and are stable. Close to a boundary of the existence region of the solitons (which may feature several connected branches), there are broad solitons which are not well approximated by the VA, and are unstable.
Bright solitons in defocusing media with spatial modulation of the quintic nonlinearity
Jianhua Zeng; Boris A. Malomed
2012-09-04
It has been recently demonstrated that self-defocusing (SDF) media with the cubic nonlinearity, whose local coefficient grows from the center to periphery fast enough, support stable bright solitons, without the use of any linear potential. Our objective is to test the genericity of this mechanism for other nonlinearities, by applying it to one- and two-dimensional (1D and 2D) quintic SDF media. The models may be implemented in optics (in particular, in colloidal suspensions of nanoparticles), and the 1D model may be applied to the description of the Tonks-Girardeau gas of ultracold bosons. In 1D, the nonlinearity-modulation function is taken as $% g_{0}+\\sinh ^{2}(\\beta x) $. This model admits a subfamily of exact solutions for fundamental solitons. Generic \\ soliton solutions are constructed in a numerical form, and also by means of the Thomas-Fermi and variational approximations (TFA and VA). In particular, a new ansatz for the VA is proposed, in the form of "raised $\\mathrm{sech}$", which provides for an essentially better accuracy than the usual Gaussian ansatz. The stability of all the fundamental (nodeless) 1D solitons is established through the computation of the corresponding eigenvalues for small perturbations, and also verified by direct simulations. Higher-order 1D solitons with two nodes have a limited stability region, all the modes with more than two nodes being unstable. It is concluded that the recently proposed "anti-VK" stability criterion for fundamental bright solitons in systems with SDF nonlinearities holds here too. Particular exact solutions for 2D solitons are produced as well.
Detecting nonlinear acoustic waves in liquids with nonlinear dipole optical antennae
Maksymov, Ivan S
2015-01-01
Ultrasound is an important imaging modality for biological systems. High-frequency ultrasound can also (e.g., via acoustical nonlinearities) be used to provide deeply penetrating and high-resolution imaging of vascular structure via catheterisation. The latter is an important diagnostic in vascular health. Typically, ultrasound requires sources and transducers that are greater than, or of order the same size as the wavelength of the acoustic wave. Here we design and theoretically demonstrate that single silver nanorods, acting as optical nonlinear dipole antennae, can be used to detect ultrasound via Brillouin light scattering from linear and nonlinear acoustic waves propagating in bulk water. The nanorods are tuned to operate on high-order plasmon modes in contrast to the usual approach of using fundamental plasmon resonances. The high-order operation also gives rise to enhanced optical third-harmonic generation, which provides an important method for exciting the higher-order Fabry-Perot modes of the dipole...
Sharma, R.P.; Batra, K.; Verga, A.D. [Centre for Energy Studies, Indian Institute of Technology, New Delhi 110016 (India)
2005-02-01
Nonlinear evolution of modulational instability by using the nonlinear Schroedinger equation in one dimension reveals a periodic reoccurrence of initial conditions. The nonlinear Schroedinger equation is the adiabatic limit of Zakharov equations, which couples the electrostatic electron plasma wave and ion-acoustic wave propagation. In the present paper nonlinear evolution of modulational instability is investigated by using one-dimensional Zakharov equations numerically. A simplified model is predicted that establishes the fact that the effect of relaxing the condition of adiabaticity is drastic on the nonlinear evolution patterns of modulational instability. These evolutions are quite sensitive to initial conditions, Fermi-Pasta-Ulam recurrence is broken up and a chaotic state develops. Next, quantitative methods like calculation of Lyapunov exponents and their variation with wave number is used to study spatial and temporally chaotic behavior. It is shown that regular patterns with a periodic sequence in space and time and spatiotemporal chaos with irregular localized patterns are formed in different regions of unstable wave numbers.
Golovashchenko, Sergey Fedorovich (Beverly Hills, MI); Bonnen, John Joseph Francis (Milford, MI)
2012-03-20
An electro-hydraulic forming tool for forming a sheet metal blank in a one-sided die has first and second rigid rings that engage opposite sides of a sheet metal blank. The rigid rings are contained within slots on a die portion and a hydraulic force applicator portion of the forming tool. The seals are either resiliently biased by an elastomeric member or inherently resiliently biased into contact with the blank.
HHS SMALL BUSINESS REVIEW FORM
Office of Environmental Management (EM)
DOE Form 4220.2 (Revised January 2014) Office of Small and Disadvantaged Business Utilization Small Business Review OSDBU Control Number: Dat...
AlGaAs-On-Insulator Nonlinear Photonics
Pu, Minhao; Semenova, Elizaveta; Yvind, Kresten
2015-01-01
The combination of nonlinear and integrated photonics has recently seen a surge with Kerr frequency comb generation in micro-resonators as the most significant achievement. Efficient nonlinear photonic chips have myriad applications including high speed optical signal processing, on-chip multi-wavelength lasers, metrology, molecular spectroscopy, and quantum information science. Aluminium gallium arsenide (AlGaAs) exhibits very high material nonlinearity and low nonlinear loss when operated below half its bandgap energy. However, difficulties in device processing and low device effective nonlinearity made Kerr frequency comb generation elusive. Here, we demonstrate AlGaAs-on-insulator as a nonlinear platform at telecom wavelengths. Using newly developed fabrication processes, we show high-quality-factor (Q>100,000) micro-resonators with integrated bus waveguides in a planar circuit where optical parametric oscillation is achieved with a record low threshold power of 3 mW and a frequency comb spanning 350 nm i...
Nonlinear symmetric stability of planetary atmospheres
Bowman, J.C.; Shepherd, T.G.
1994-11-01
The energy-Casimir method is applied to the problem of symmetric stability in the context of a compressible, hydrostatic planetary atmosphere with a general equation of state. Linear stability criteria for symmetric disturbances to a zonally symmetric baroclinic flow are obtained. In the special case of a perfect gas the results of Stevens (1983) are recovered. Nonlinear stability conditions are also obtained that, in addition to implying linear stability, provide an upper bound on a certain positive-definite measure of disturbance amplitude.
Nonlinear Seismic Response Of Single Piles
Cairo, R.; Conte, E.; Dente, G.
2008-07-08
In this paper, a method is proposed to analyse the seismic response of single piles under nonlinear soil condition. It is based on the Winkler foundation model formulated in the time domain, which makes use of p-y curves described by the Ramberg-Osgood relationship. The analyses are performed referring to a pile embedded in two-layer soil profiles with different sharp stiffness contrast. Italian seismic records are used as input motion. The calculated bending moments in the pile are compared to those obtained using other theoretical solutions.
Collision-dominated nonlinear hydrodynamics in graphene
Briscot, U; Gornyi, I V; Titov, M; Narozhny, B N; Mirlin, A D
2015-01-01
We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account dissipation due to Coulomb interaction and find the viscosity of Dirac fermions in graphene for arbitrary densities. The viscous terms have a dramatic effect on transport coefficients in clean samples at high temperatures. Within linear response, we show that viscosity manifests itself in the nonlocal conductivity as well as dispersion of hydrodynamic plasmons. Beyond linear response, we apply the derived nonlinear hydrodynamics to the problem of hot spot relaxation in graphene.
Nonlinear laser energy depletion in laser-plasma accelerators
Shadwick, B.A.
2009-01-01
Nonlinear laser energydepletion in laser-plasma accelerators ? B. A. Shadwick,of intense, short-pulse lasers via excitation of plasma
Optimization Online - Robust nonlinear optimization via the dual
Apr 29, 2015 ... Robust nonlinear optimization via the dual. Bram L Gorissen(b.l.gorissen ***at*** tilburguniversity.edu) Dick Den Hertog(d.denhertog ***at*** ...
Non-linear Seismic Soil Structure Interaction Method for Developing...
Office of Environmental Management (EM)
techniques * "EFFECT ON NON-LINEAR SOIL- STRUCTURE INTERACTION DUE TO BASE SLAB UPLIFT ON THE SEISMIC RESPONSE OF A HIGH- TEMPERATURE GAS-COOLED REACTOR (HTGR)" Kennedy,...
Proceeding of the International Conference on Nonlinear Evolution ...
small fraction of the total energy, its effect through the nonlinear interac- tion with the ... tationally inefficient to allocate as much computing resources to compute.
A Feasible Direction Algorithm for Nonlinear Second-Order Cone ...
2014-08-21
Aug 21, 2014 ... Publications. [9] E.H. Fukuda, P.J.S. Silva, and M. Fukushima. Differentiable exact penalty functions for nonlinear second-order cone programs.
On a hierarchy of nonlinearly dispersive generalized Korteweg...
Office of Scientific and Technical Information (OSTI)
on a modification of the Lagrangian density whose induced action functional the KdV equation extremizes. Two recent nonlinear evolution equations describing wave propagation in...
A new nonlinear generalization of the Dirac equation
Nikolay Marchuk
2013-07-24
We postulate a new nonlinear generalization of the Dirac equation for an electron. Basic properties of the new equation are considered.
An embedding theorem and the Harnack inequality for nonlinear ...
2007-11-09
Nov 9, 2007 ... An embedding theorem and the harnack inequality for nonlinear subelliptic equations. Luca Capogna a; Donatella Danielli a; Nicola Garofalo a.
NONLINEAR GALERKIN METHODS FOR THE 3D MAGNETOHYDRODYNAMIC EQUATIONS
Seehafer, Norbert
, Germany Received ...................................14. January 1997 Abstract The usage of nonlinear approximation. Special bifurcation points, time-averaged values of energy and enstrophy as well as Kaplan{ Yorke
Nonlinear viscoelastic materials : bioinspired applications and new characterization measures
Ewoldt, Randy H. (Randy Harold)
2009-01-01
Viscoelastic materials, such as biomaterials and non-Newtonian fluids, typically experience mechanical loading which evokes a nonlinear rheological response. Rheologically complex materials can provide novel functionality ...
BDF-like methods for nonlinear dynamic analysis
"S. Dong"
2010-02-06
Jan 4, 2010 ... Although a nonlinear stability analysis of these algorithms for general ..... analysis using the damping-free linear vibration Eq. (16) similar to the ...
PREDESIGNATION OF PERSONAL PHYSICIAN FORM
Su, Xiao
PREDESIGNATION OF PERSONAL PHYSICIAN FORM HUMAN RESOURCES SERVICE GROUP Safety & Risk Services in Human Resources, Safety & Risk Services, 0046. A copy of the completed form will be returned to the employee for future reference. Information: The California Labor Code states that an employer may choose
W lunar hours potential flow power = 0 Velocity Form drag Power Cumulative power flood slack residual power = total power potential flow drag = residual drag total form drag . . Dynamicallyactive potential flow drag estimate wave drag ratio L Y d Isohalines above a ridge Pressure anomaly ~U0w #12;When
Internal Supplemental Compensation Approval Form
Clark, Bunny
Internal Supplemental Compensation Approval Form The Ohio State University Page 1 of 1 Internal Supplemental Compensation Approval Form UMC10036Revised 02/10 The salary of regular, full-time faculty, the individual may be eligible to receive supplemental compensation if release time is not a feasible option
Method of forming ceramic bricks
Poeppel, Roger B. (Glen Ellyn, IL); Claar, Terry D. (Newark, DE); Silkowski, Peter (Urbana, IL)
1988-01-01
A method for forming free standing ceramic bricks for use as tritium breeder material is disclosed. Aqueous solutions of sodium carbonate and potassium carbonate are mixed with an organic hydrocolloid dispersion and powdered lithium carbonate, spray dried, and ceramic bricks formed by molding in a die and firing.
Method of forming ceramic bricks
Poeppel, R.B.; Claar, T.D.; Silkowski, P.
1987-04-22
A method for forming free standing ceramic bricks for use as tritium breeder material is disclosed. Aqueous solutions of sodium carbonate and potassium carbonate are mixed with an organic hydrocolloid dispersion and powdered lithium carbonate, spray dried, and ceramic bricks formed by molding in a die and firing.
Biswanath Rath; P. Mallick
2014-12-22
A new method for generating analytical expression of quantum Hamiltonian from non-linear differential equation with stationary energy level has been formulated.Further calculation of energy levels have been carried out analytically using and numerically using matrix diagonalisation method.
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantity ofkandz-cm11 Outreach Home RoomPreservationBio-Inspired SolarAboutXu Named| Princetondefault Sign InEnhanced OilProjectdefault
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantityBonneville Power Administration would likeUniverse (Journal Article) |FinalIndustrialFollowingForForklift Training
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantityBonneville Power Administration would likeUniverse (Journal Article) |FinalIndustrialFollowingForForklift TrainingFebruary 10,
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantityBonneville Power Administration would likeUniverse (Journal Article) |FinalIndustrialFollowingForForklift TrainingFebruary
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantityBonneville Power Administration would likeUniverse (Journal Article) |FinalIndustrialFollowingForForklift TrainingFebruary24 PM
Hybrid plasmonic nanodevices: Switching mechanism for the nonlinear emission
Bragas, Andrea V.; Singh, Mahi R.
2014-03-31
Control of the light emission at the nanoscale is of central interest in nanophotonics due to the many applications in very different fields, ranging from quantum information to biophysics. Resonant excitation of surface plasmon polaritons in metal nanoparticles create nanostructured and enhanced light fields around those structures, which produce their strong interaction in a hybrid nanodevice with other plasmonic or non-plasmonic objects. This interaction may in turn also modulate the far field with important consequences in the applications. We show in this paper that the nonlinear emission from semiconductor quantum dots is strongly affected by the close presence of metal nanoparticles, which are resonantly excited. Using a pulsed laser, optical second harmonic is generated in the quantum dot, and it is highly enhanced when the laser is tuned around the nanoparticle plasmon resonance. Even more interesting is the demonstration of a switching mechanism, controlled by an external continuous-wave field, which can enhance or extinguish the SH signal, even when the pulsed laser is always on. Experimental observations are in excellent agreement with the theoretical calculations, based on the dipole-dipole near-field coupling of the objects forming the hybrid system.
Rotation-induced nonlinear wavepackets in internal waves
Whitfield, A. J. Johnson, E. R.
2014-05-15
The long time effect of weak rotation on an internal solitary wave is the decay into inertia-gravity waves and the eventual formation of a localised wavepacket. Here this initial value problem is considered within the context of the Ostrovsky, or the rotation-modified Korteweg-de Vries (KdV), equation and a numerical method for obtaining accurate wavepacket solutions is presented. The flow evolutions are described in the regimes of relatively-strong and relatively-weak rotational effects. When rotational effects are relatively strong a second-order soliton solution of the nonlinear Schrödinger equation accurately predicts the shape, and phase and group velocities of the numerically determined wavepackets. It is suggested that these solitons may form from a local Benjamin-Feir instability in the inertia-gravity wave-train radiated when a KdV solitary wave rapidly adjusts to the presence of strong rotation. When rotational effects are relatively weak the initial KdV solitary wave remains coherent longer, decaying only slowly due to weak radiation and modulational instability is no longer relevant. Wavepacket solutions in this regime appear to consist of a modulated KdV soliton wavetrain propagating on a slowly varying background of finite extent.
Electromagnetic deuteron form factors in point form relativistic quantum mechanics
N. A. Khokhlov
2015-03-10
A study of electromagnetic structure of the deuteron in the framework of relativistic quantum mechanics is presented. The deuteron form factors dependencies on the transferred 4-momentum Q are calculated. We compare results obtained with different realistic deuteron wave functions stemming from Nijmegen-I, Nijmegen-II, JISP16, CD-Bonn, Paris and Moscow (with forbidden states) potentials. A nucleon form factor parametrization consistent with modern experimental analysis was used as an input data.
Nonlinear stability of ideal fluid equilibria
Holm, D.D.
1988-01-01
The Lyapunov method for establishing stability is related to well- known energy principles for nondissipative dynamical systems. A development of the Lyapunov method for Hamiltonian systems due to Arnold establishes sufficient conditions for Lyapunov stability by using the energy plus other conserved quantities, together with second variations and convexity estimates. When treating the stability of ideal fluid dynamics within the Hamiltonian framework, a useful class of these conserved quantities consists of the Casimir functionals, which Poisson-commute with all functionals of the dynamical fluid variables. Such conserved quantities, when added to the energy, help to provide convexity estimates that bound the growth of perturbations. These convexity estimates, in turn, provide norms necessary for establishing Lyapunov stability under the nonlinear evolution. In contrast, the commonly used second variation or spectral stability arguments only prove linearized stability. As ideal fluid examples, in these lectures we discuss planar barotropic compressible fluid dynamics, the three-dimensional hydrostatic Boussinesq model, and a new set of shallow water equations with nonlinear dispersion due to Basdenkov, Morosov, and Pogutse(1985). Remarkably, all three of these samples have the same Hamiltonian structure and, thus, possess the same Casimir functionals upon which their stability analyses are based. We also treat stability of modified quasigeostrophic flow, a problem whose Hamiltonian structure and Casimirs closely resemble Arnold's original example. Finally, we discuss some aspects of conditional stability and the applicability of Arnold's development of the Lyapunov technique. 100 refs.
Reduction of dimension for nonlinear dynamical systems
Heather A. Harrington; Robert A. Van Gorder
2015-08-24
We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this can be useful for computing the solution when using a variety of analytical approaches. In the case where this reduction is possible, we employ differential elimination to obtain the reduced system. While analytical, the approach is algorithmic, and is implemented in symbolic software such as {\\sc MAPLE} or {\\sc SageMath}. In other cases, the reduction cannot be performed strictly in terms of differential operators, and one obtains integro-differential operators, which may still be useful. In either case, one can use the reduced equation to both approximate solutions for the state variables and perform chaos diagnostics more efficiently than could be done for the original higher-dimensional system, as well as to construct Lyapunov functions which help in the large-time study of the state variables. A number of chaotic and hyperchaotic dynamical systems are used as examples in order to motivate the approach.
Nonlinear Biochemical Signal Processing via Noise Propagation
Kyung Hyuk Kim; Hong Qian; Herbert M. Sauro
2013-09-10
Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance, fluctuations in biochemical activities become significant and such "noise" can propagate through regulatory cascades in terms of biochemical reaction networks. Here we develop an intuitive, yet fully quantitative method for analyzing how noise affects cellular phenotypes based on identifying a system's nonlinearities and noise propagations. We observe that such noise can simultaneously enhance sensitivities in one behavioral region while reducing sensitivities in another. Employing this novel phenomenon we designed three biochemical signal processing modules: (a) A gene regulatory network that acts as a concentration detector with both enhanced amplitude and sensitivity. (b) A non-cooperative positive feedback system, with a graded dose-response in the deterministic case, that serves as a bistable switch due to noise-induced bimodality. (c) A noise-induced linear amplifier for gene regulation that requires no feedback. The methods developed in the present work allow one to understand and engineer nonlinear biochemical signal processors based on fluctuation-induced phenotypes.
Critical behaviour for scalar nonlinear waves
Davide Masoero; Andrea Raimondo; Pedro R. S. Antunes
2015-02-06
In the long-wave regime, nonlinear waves may undergo a phase transition from a smooth to a fast oscillatory behaviour. We study this phenomenon, commonly known as dispersive shock, in the light of Dubrovin's universality conjecture , and we argue that the transition can be described by a special solution of a model universal partial differential equation. This universal solution is constructed by means of a string equation. We provide a classification of universality classes and the explicit description of the transition by means of special functions, extending Dubrovin's universality conjecture to a wider class of equations. In particular, we show that Benjamin-Ono equation belongs to a novel universality class with respect to the ones known in the literature, and we compute its string equation exactly. We describe our results using the language of statistical mechanics, showing that dispersive shocks share many features of the tri-critical point in statistical systems, and building a dictionary between nonlinear waves and statistical mechanics.
Duality Groups, Automorphic Forms and Higher Derivative Corrections
Neil Lambert; Peter West
2007-02-21
We study the higher derivative corrections that occur in type II superstring theories in ten dimensions or less. Assuming invariance under a discrete duality group G(Z) we show that the generic functions of the scalar fields that occur can be identified with automorphic forms. We then give a systematic method to construct automorphic forms from a given group G(Z) together with a chosen subgroup H and a linear representation of G(Z). This construction is based on the theory of non-linear realizations and we find that the automorphic forms contain the weights of G. We also carry out the dimensional reduction of the generic higher derivative corrections of the IIB theory to three dimensions and find that the weights of E_8 occur generalizing previous results of the authors on M-theory. Since the automorphic forms of this theory contain the weights of E_8 we can interpret the occurrence of weights in the dimensional reduction as evidence for an underlying U-duality symmetry.
Azzali, Sara
2007-01-01
In this paper we construct the generalization of the Cheeger-Gromov L^2-rho-invariant in the case of families. It is in fact a differential form: given a family of Dirac-type operators along the fibres of a fibration M--> B and a second fibration of normal G-coverings of the fibres, the rho-form is defined as the difference between the eta-form of Bismut and Cheeger and an L^2-eta-form, whose meaning is here given. Some hypothesis on the spectrum of the family of operators on the covering fibres must be made, to construct the L^2-eta-form. The delicate point is in fact in the t--> \\infty-asymptotic of the heat operator for the Bismut superconnection on the covering. First we consider a strong hypothesis (unifom invertibility for the two families of operators): in this case the L^2-eta-form is well defined. This situation occurs for example in the case of a fibration of spin manifolds with vertical metric of positive scalar curvature. Here we also prove that rho-form is constant on the connected components of ...
Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
J. M. Gambetta; F. Motzoi; S. T. Merkel; F. K. Wilhelm
2011-01-20
In qubits made from a weakly anharmonic oscillator the leading source of error at short gate times is leakage of population out of the two dimensional Hilbert space that forms the qubit. In this paper we develop a general scheme based on an adiabatic expansion to find pulse shapes that correct this type of error. We find a family of solutions that allows tailoring to what is practical to implement for a specific application. Our result contains and improves the previously developed DRAG technique [F. Motzoi, et. al., Phys. Rev. Lett. 103, 110501 (2009)] and allows a generalization to other non-linear oscillators with more than one leakage transition.
Nonlinear dynamics of system oscillations modeled by a forced Van der Pol generalized oscillator
L. A. Hinvi; C. H. Miwadinou; A. V. Monwanou; J. B. Chabi Orou
2014-02-18
This paper considers the oscillations modeled by a forced Van der Pol generalized oscillator. These oscillations are described by a nonlinear differential equation of the form $ \\ddot{x}+x-\\varepsilon\\left(1-ax^2-b\\dot{x}^2\\right)\\dot{x}=E\\sin{{\\Omega}t}.$ The amplitudes of the forced harmonic, primary resonance superharmonic and subharmonic oscillatory states are obtained using the harmonic balance technique and the multiple time scales methods. We obtain also the hysteresis and jump phenomena in the system oscillations. Bifurcation sequences displayed by the model for each type of oscillatory states are performed numerically through the fourth-order Runge- Kutta scheme.
Egorov, E. N. Koronovskii, A. A.; Kurkin, S. A.; Hramov, A. E.
2013-11-15
Results of numerical simulations and analysis of the formation and nonlinear dynamics of the squeezed state of a helical electron beam in a vircator with a magnetron injection gun as an electron source and with additional electron deceleration are presented. The ranges of control parameters where the squeezed state can form in such a system are revealed, and specific features of the system dynamics are analyzed. It is shown that the formation of a squeezed state of a nonrelativistic helical electron beam in a system with electron deceleration is accompanied by low-frequency longitudinal dynamics of the space charge.
Nonlinear dynamics analysis of a membrane Stirling engine: Starting and stable operation
Formosa, Fabien
2013-01-01
This paper presents the work devoted to the study of the operation of a miniaturized membrane Stirling engine. Indeed, such an engine relies on the dynamic coupling of the motion of two membranes to achieve a prime mover Stirling thermodynamic cycle. The modelling of the system introduces the large vibration amplitudes of the membrane as well as the nonlinear dissipative effects associated to the fluid flow within the engine. The nonlinearities are expressed as polynomial functions with quadratic and cubic terms. This paper displays the stability analysis to predict the starting of the engine and the instability problem which leads to the steady state behaviour. The centre manifold - normal form theory is used to obtain the simplest expression for the limit cycle amplitudes. The approach allows the reduction of the number of equations of the original system in order to obtain a simplified system, without loosing the dynamics of the original system as well as the contributions of non-linear terms. The model in...
Particle sizing by dynamic light scattering: non-linear cumulant analysis
Alastair G. Mailer; Paul S. Clegg; Peter N. Pusey
2015-04-24
We revisit the method of cumulants for analysing dynamic light scattering data in particle sizing applications. Here the data, in the form of the time correlation function of scattered light, is written as a series involving the first few cumulants (or moments) of the distribution of particle diffusion constants. Frisken (2001 Applied Optics 40, 4087) has pointed out that, despite greater computational complexity, a non-linear, iterative, analysis of the data has advantages over the linear least-squares analysis used originally. In order to explore further the potential and limitations of cumulant methods we analyse, by both linear and non-linear methods, computer-generated data with realistic `noise', where the parameters of the distribution can be set explicitly. We find that, with modern computers, non-linear analysis is straightforward and robust. The mean and variance of the distribution of diffusion constants can be obtained quite accurately for distributions of width (standard deviation/mean) up to about 0.6, but there appears to be little prospect of obtaining meaningful higher moments.
Integrated Study of the Nonlinear Dynamics of Collisional Drift Wave Turbulence
George R. Tynan
2012-04-24
An existing linear magnetized plasma device, the Controlled Shear Decorrelation experiment (CSDX) was used to study the transition from a state of coherent wave like activity to a state of turbulent activity using the magnetic field and thus magnetization of the plasma as the control parameter. The results show the onset of coherent drift waves consistent with linear stability analysis. As the magnetization is raised, at first multiple harmonics appear, consistent with wave steepening. This period is then followed by the beginning of nonlinear interactions between different wave modes, which then results in the formation of narrow frequency but distributed azimuthal wave number fluctuations that are consistent with the formation of long-lived coherent nonlinear structures within the plasmas. These structures, termed quasicoherent modes, persist as the magnetic field is raised. Measurements of turbulent momentum flux indicate that the plasma is also forming an azimuthally symmetric radially sheared fluid flow that is nonlinearly driven by smaller scaled turbulent fluctuations. Further increases in the magnetic field result in the breakup of the quasicoherent mode, and the clear formation of the sheared flow. Numerical simulations of the experiment reproduce the formation of the sheared flow via a vortex merging process, and confirm that the experiment is providing the first clear experimental evidence of the formation of sheared zonal flows from drift turbulent fluctuations in a magnetized plasma.
Process to form mesostructured films
Brinker, C. Jeffrey (Albuquerque, NM); Anderson, Mark T. (Woodbury, MN); Ganguli, Rahul (Camarillo, CA); Lu, Yunfeng (Albuquerque, NM)
1999-01-01
This invention comprises a method to form a family of supported films film with pore size in the approximate range 0.8-20 nm exhibiting highly ordered microstructures and porosity derived from an ordered micellar or liquid-crystalline organic-inorganic precursor structure that forms during film deposition. Optically transparent, 100-500-nm thick films exhibiting a unique range of microstructures and uni-modal pore sizes are formed in seconds in a continuous coating operation. Applications of these films include sensors, membranes, low dielectric constant interlayers, anti-reflective coatings, and optical hosts.
Analytical results for the four-loop RG functions in the 2D non-linear O(n) ?-model on the lattice
O. Veretin
2013-06-12
We recalculate four-loop renormalization group functions in 2-dimensional nonlinear O(n) {\\sigma}-model using coordinate-space method. The high accuracy of calculation allow us to find the analytical form of {\\beta}- and {\\gamma}-function (anomaluos dimension).
Residential California adobe : mud form
Daymond, Diana Leigh
1985-01-01
Northern California has a rich tradition of adobe architecture . Formed with earth, defined by site, climate and use, the adobe structures exemplify a building methodology in harmony with nature and the lifestyle of it's ...
Natural ventilation generates building form
Chen, Shaw-Bing
1996-01-01
Natural ventilation is an efficient design strategy for thermal comfort in hot and humid climates. The building forms can generate different pressures and temperatures to induce natural ventilation. This thesis develops a ...
Bayley, Hagan (Grafton, MA); Walker, Barbara J. (Auburn, MA); Chang, Chung-yu (Worcester, MA); Niblack, Brett (Nashville, TN); Panchal, Rekha (Shrewsbury, MA)
1998-01-01
An inactive pore-forming agent which is activated to lytic function by a condition such as pH, light, heat, reducing potential, or metal ion concentration, or substance such as a protease, at the surface of a cell.
Wireless Device Request Form Department
Wireless Device Request Form Department: Employee ID #: St. Francis Xavier University TSG Contact Date: Part II - Employee Agreement I agree and acknowledge that I have read the Wireless Communications
APPLICATION FORM For participating in
Subramanian, Venkat
APPLICATION FORM For participating in International Experience in Energy, Environmental EECE 401, 3 credits The Department of Energy, Environmental and Chemical Engineering is pleased lectures, technical projects and other visits. In 2012, the class will be visiting UNICAMP, Brazil
FORMS AND INSTRUCTIONS FOR SUBMITTING
CALIFORNIA ENERGY COMMISSION FORMS AND INSTRUCTIONS FOR SUBMITTING RETAIL ELECTRICITY PRICE DATA Schwarzenegger, Governor #12;2 CALIFORNIA ENERGY COMMISSION Mignon Marks Principal Author Ruben Tavares Project Manager David Ashuckian Manager ELECTRICITY ANALYSIS OFFICE Scott W. Matthews Deputy Director ELECTRICITY
Homeowner Soil Sample Information Form
Provin, Tony
2007-04-11
THE TEXAS A&M UNIVERSITY SYSTEM Soil, Water and Forage Testing Laboratory Urban and Homeowner Soil Sample Information Form See sampling procedures and mailing instructions on the back of this form. (PLEASE DO NOT SEND CASH) SU07 E-444... (7-07) Results will be mailed to this address ONLY Address City Phone County where sampled Name Laboratory # (For Lab Use Only) State Zip Payment (DO NOT SEND CASH). Amount Paid $ SUBMITTED BY: Check Money Order Make Checks Payable to: Soil...
Methods of forming hardened surfaces
Branagan, Daniel J. (Iona, ID)
2004-07-27
The invention encompasses a method of forming a metallic coating. A metallic glass coating is formed over a metallic substrate. After formation of the coating, at least a portion of the metallic glass can be converted into a crystalline material having a nanocrystalline grain size. The invention also encompasses metallic coatings comprising metallic glass. Additionally, the invention encompasses metallic coatings comprising crystalline metallic material, with at least some of the crystalline metallic material having a nanocrystalline grain size.
Method for forming metal contacts
Reddington, Erik; Sutter, Thomas C; Bu, Lujia; Cannon, Alexandra; Habas, Susan E; Curtis, Calvin J; Miedaner, Alexander; Ginley, David S; Van Hest, Marinus Franciscus Antonius Maria
2013-09-17
Methods of forming metal contacts with metal inks in the manufacture of photovoltaic devices are disclosed. The metal inks are selectively deposited on semiconductor coatings by inkjet and aerosol apparatus. The composite is heated to selective temperatures where the metal inks burn through the coating to form an electrical contact with the semiconductor. Metal layers are then deposited on the electrical contacts by light induced or light assisted plating.
A NONLINEAR LEARNING CONTROL APPROACH FOR A CEMENT MILLING PROCESS
Efe, Mehmet Önder
A NONLINEAR LEARNING CONTROL APPROACH FOR A CEMENT MILLING PROCESS 1 OGUZ H. DAGCI, 2 M. ÖNDER EFE, control of a cement milling circuit is studied with time-varying set values, time-varying plant parameters popularity since the field of nonlinear control still does not offer systematized procedures. Cement mill
Excitation of nonlinear electron acoustic waves Francesco Valentini
California at San Diego, University of
Excitation of nonlinear electron acoustic waves Francesco Valentini Dipartimento di Fisica and INFM acoustic waves EAWs and the stability of the EAWs against decay. An EAW is a nonlinear wave- linear wave structures can exist in a plasma, even at low amplitude. They called these waves electron-acoustic
Nonlinear Electrical Simulation of High-Power Synchronous Generator System
Wu, Thomas
power density, the generator operates in nonlinear region of the magnetic circuit. Magnetic Finite for motor simulation [I]. Fardoun simulated permanent-magnet machine drive system using SPlCE [2]. NatarajanNonlinear Electrical Simulation of High-Power Synchronous Generator System Jie Chen and Thomas Wu
Nonlinear Modeling and Control Design of Active Helicopter Blades
Patil, Mayuresh
Nonlinear Modeling and Control Design of Active Helicopter Blades Matthias Althoff , Mayuresh J dynamic solution and control design of active helicopter blades. Following are the significant new reduction technique is used to derive a low-order, high fidelity nonlinear blade model for control design
Building Nonlinear Data Models with Self--Organizing Maps
Der, Ralf
Building Nonlinear Data Models with Self--Organizing Maps Ralf Der 1 , Gerd Balzuweit 1 , Michael.e. the observations are given by y = f (x) + j, where j is the noise which may or may not depend on x. Building a data the extraction of nonlinear data models in high dimensional spaces with modified selforganizing maps. Our algo
Wide-band negative permeability of nonlinear metamaterials
Wide-band negative permeability of nonlinear metamaterials Mikhail Lapine1 , Ilya Shadrivov2 & Yuri frequency range where metamaterial possesses negative effective permeability. This can be achieved by employing a nonlinear response of metamaterials. We demonstrate that, with an appropriate design
Nonlinear magnetoinductive waves and domain walls in composite metamaterials
Nonlinear magnetoinductive waves and domain walls in composite metamaterials Ilya V. Shadrivov a-handed composite metamaterials. We derive the coupled equations for describing the propagation of magnetoinductive waves, and show that in the nonlinear regime the magnetic response of a metamaterial may become bistable
Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems
Schoeberl, Joachim
Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems F. Bachinger U. Langer J. Sch¨oberl April 2004 Abstract This work provides a complete analysis of eddy current problems, rang- ing from at providing a complete analysis of general nonlinear eddy current problems and their numerical treatment
Revised CPA method to compute Lyapunov functions for nonlinear systems
Hafstein, Sigurður Freyr
Revised CPA method to compute Lyapunov functions for nonlinear systems Peter A. Giesla , Sigurdur F in computing a CPA Lyapunov function for such a system. The size of the domain of the computed CPA Lyapunov method uses linear programming to compute Continuous and Piecewise Affine Lyapunov function for nonlinear
NOAATechnical Report ERL408-GLERL14 Spectral Growthand Nonlinear
.......................................Appendix B Testingfor Stationarity 43 Appendix C. Application of Barnett's Parameterization of Nonlinear in Barnett's parameteri- zation of nonlinear energy transfer that represents the part receiving energy from(w),for data r,(t) source function; also used in Barnett's parameterization to represent the part
Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions
C. Quesne
2015-01-27
The classical nonlinear oscillator, proposed by Mathews and Lakshmanan in 1974 and including a position-dependent mass in the kinetic energy term, is generalized in two different ways by adding an extra term to the potential. The solutions of the Euler-Lagrange equation are shown to exhibit richer behaviour patterns than those of the original nonlinear oscillator.
Title of dissertation: NONLINEAR DYNAMICS IN BIOLOGICAL SYSTEMS
Anlage, Steven
ABSTRACT Title of dissertation: NONLINEAR DYNAMICS IN BIOLOGICAL SYSTEMS: ACTIN NETWORKS AND GENE in several cases. #12;NONLINEAR DYNAMICS IN BIOLOGICAL SYSTEMS: ACTIN NETWORKS AND GENE NETWORKS by Andrew Department of Physics Two problems in biological systems are studied: (i) experiments in microscale
Ris-R-1397(EN) Dynamics in Nonlinear Optical
Risø-R-1397(EN) Dynamics in Nonlinear Optical Polymers Kim Giessmann Jespersen Risø National of dynamics in nonlinear optical polymers. Polymers attract considerable attention in search for new optical materials due to low cost, ease of fabrication, and the possibility of designing specific optical properties
Uncertain dynamics in nonlinear chemical reactions Jichang Wang,a
Showalter, Kenneth
Uncertain dynamics in nonlinear chemical reactions Jichang Wang,a Hongyan Sun,b Stephen K. Scottc a dissociation reaction of the autocatalytic species, B ! X + Y, followed by a recombination reaction, X + Y ! C evolution of the system. 1. Introduction The study of nonlinear chemical kinetics has flourished in the past
Nonlinear response of superconductors to alternating fields and currents
McDonald, J.
1997-10-08
This report discusses the following topics on superconductivity: nonlinearities in hard superconductors such as surface impedance of a type II superconductimg half space and harmonic generation and intermodulation due to alternating transport currents; and nonlinearities in superconducting weak links such as harmonic generation by a long Josephson Junction in a superconducting slab.
Nonlinear Control of a Wind Turbine Sven Creutz Thomsen
ratio P e [W ] Power generated by generator P r [W ] Mechanical power absorbed from the wind R r [mNonlinear Control of a Wind Turbine Sven Creutz Thomsen Kongens Lyngby 2006 #12; Technical describes analysis of various nonlinear control methods for controlling a wind turbine. High speed wind
Lyapunov-based Optimizing Control of Nonlinear Blending Process
Johansen, Tor Arne
1 Lyapunov-based Optimizing Control of Nonlinear Blending Process Tor A. Johansen£ , Daniel Sb processes consisting of linear dynamics and a static nonlinearity are considered. We propose a control law that optimizes the equilibrium point of the process and regulates the output to the corresponding equilibrium
Lyapunov-based Optimizing Control of Nonlinear Blending Processes
Johansen, Tor Arne
1 Lyapunov-based Optimizing Control of Nonlinear Blending Processes Tor A. Johansen , Daniel Sb processes consisting of linear dynamics and a static nonlinearity are considered. We propose a control law that optimizes the equilibrium point of the process and regulates the output to the corresponding equilibrium
Asymptotics of Nonlinear Biharmonic Eigenvalue Problems of MEMS
Ward, Michael Jeffrey
Asymptotics of Nonlinear Biharmonic Eigenvalue Problems of MEMS Alan E. Lindsay and Michael J. Ward Problems of MEMS Overview of Nonlinear Eigenvalue Problems of MEMS Calculation of the Pull-In Voltage of the Maximal Solution Branch. Of more mathematical interest in PDE. CAIMS Â p. #12;A MEMS Capacitor d L
Wavelet-Based Transformations for Nonlinear Signal Processing
Nowak, Robert
Wavelet-Based Transformations for Nonlinear Signal Processing Robert D. Nowak Department.dsp.rice.edu Submitted to IEEE Transactions on Signal Processing, February 1997 Revised June 1998 EDICS Numbers: SP-2 in the analysis and processing of real-world signals. In this paper, we introduce two new structures for nonlinear
On stability of standing waves of nonlinear Dirac equations
Nabile Boussaid; Scipio Cuccagna
2012-02-28
We consider the stability problem for standing waves of nonlinear Dirac models. Under a suitable definition of linear stability, and under some restriction on the spectrum, we prove at the same time orbital and asymptotic stability. We are not able to get the full result proved by Cuccagna for the nonlinear Schr\\"odinger equation, because of the strong indefiniteness of the energy.
Hu, Tingshu
substantially. Keywords: Linear differential inclusion, nonlinear feedback, Lyapunov functions, robust stabilityNonlinear Control Design for Linear Differential Inclusions via Convex Hull Quadratic Lyapunov Functions Tingshu Hu Abstract-- This paper presents a nonlinear control design method for robust
Trenn, Stephan
Switched nonlinear differential algebraic equations: Solution theory, Lyapunov functions¨urzburg, Germany Abstract We study switched nonlinear differential algebraic equations (DAEs) with respect in earlier work for linear switched DAEs to establish a solution framework for switched nonlinear DAEs
Mukamel, Shaul
Path integral formulation of retardation effects in nonlinear optics Vladimir Chernyaka) and Shaul;accepted4 October 1993) The signaturesof retardation in nonlinear optical susceptibilitiesare studiedby optical signalsare usually'calculatedby first calculating a nonlinear susceptibility definedby expanding
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Dynamics of FRW Universes Sourced by Non-Linear Electrodynamics
Ricardo Garcia-Salcedo; Tame Gonzalez; Claudia Moreno; Israel Quiros
2009-05-07
We apply the dynamical systems tools to study the (linear) dynamics of Friedmann-Robertson-Walker universes that are fuelled by non-linear electrodynamics. We focus, mainly, in two particular models. In the first model the cosmic evolution is fuelled by cold dark matter, a cosmological constant and a non-linear electrodynamics field. In the second case non-singular cosmology and late-time accelerated expansion are unified in a model where the Einstein's field equations are sourced only by cold dark matter and a non-linear electrodynamics field. It is shown that, in contrast to previous claims, the cosmological effects coming from the non-linear electrodynamics field are not as generic as though. In fact, critical points in the phase space that could be associated with non-linear electrodynamic effects are not found.
Dynamic Time Expansion and Compression Using Nonlinear Waveguides
Findikoglu, Alp T.; Hahn, Sangkoo F.; Jia, Quanxi
2004-06-22
Dynamic time expansion or compression of a small amplitude input signal generated with an initial scale is performed using a nonlinear waveguide. A nonlinear waveguide having a variable refractive index is connected to a bias voltage source having a bias signal amplitude that is large relative to the input signal to vary the reflective index and concomitant speed of propagation of the nonlinear waveguide and an electrical circuit for applying the small amplitude signal and the large amplitude bias signal simultaneously to the nonlinear waveguide. The large amplitude bias signal with the input signal alters the speed of propagation of the small-amplitude signal with time in the nonlinear waveguide to expand or contract the initial time scale of the small-amplitude input signal.
Dynamic time expansion and compression using nonlinear waveguides
Findikoglu, Alp T.; Hahn, Sangkoo F.; Jia, Quanxi
2004-06-22
Dynamic time expansion or compression of a small-amplitude input signal generated with an initial scale is performed using a nonlinear waveguide. A nonlinear waveguide having a variable refractive index is connected to a bias voltage source having a bias signal amplitude that is large relative to the input signal to vary the reflective index and concomitant speed of propagation of the nonlinear waveguide and an electrical circuit for applying the small-amplitude signal and the large amplitude bias signal simultaneously to the nonlinear waveguide. The large amplitude bias signal with the input signal alters the speed of propagation of the small-amplitude signal with time in the nonlinear waveguide to expand or contract the initial time scale of the small-amplitude input signal.
Nonlinear finite-Larmor-radius effects in reduced fluid models
Brizard, A. J. [Department of Chemistry and Physics, Saint Michael's College, Colchester, Vermont 05439 (United States); Denton, R. E.; Rogers, B. [Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755 (United States); Lotko, W. [Thayer School of Engineering, Dartmouth College, Hanover, New Hampshire 03755 (United States)
2008-08-15
The polarization magnetization effects associated with the dynamical reduction leading to the nonlinear gyrokinetic Vlasov-Maxwell equations are shown to introduce nonlinear finite-Larmor-radius (FLR) effects into a set of nonlinear reduced-fluid equations previously derived by the Lagrangian variational method [A. J. Brizard, Phys. Plasmas 12, 092302 (2005)]. These intrinsically nonlinear FLR effects, which are associated with the transformation from guiding-center phase-space dynamics to gyrocenter phase-space dynamics, are different from the standard FLR corrections associated with the transformation from particle to guiding-center phase-space dynamics. We also present the linear dispersion relation results from a nonlinear simulation code using these reduced-fluid equations. The simulation results (in both straight dipole geometries) demonstrate that the equations describe the coupled dynamics of Alfven sound waves and that the total simulation energy is conserved.
Electromagnetic nucleon form factors in instant and point form
T. Melde; K. Berger; L. Canton; W. Plessas; R. F. Wagenbrunn
2007-09-30
We present a study of the electromagnetic structure of the nucleons with constituent quark models in the framework of relativistic quantum mechanics. In particular, we address the construction of spectator-model currents in the instant and point forms. Corresponding results for the elastic nucleon electromagnetic form factors as well as charge radii and magnetic moments are presented. We also compare results obtained by different realistic nucleon wave functions stemming from alternative constituent quark models. Finally, we discuss the theoretical uncertainties that reside in the construction of spectator-model transition operators.
Nonlinear transmission line based electron beam driver
French, David M.; Hoff, Brad W.; Tang Wilkin; Heidger, Susan; Shiffler, Don [Directed Energy Directorate, Air Force Research Laboratory, Kirtland AFB, New Mexico 87117 (United States); Allen-Flowers, Jordan [Program in Applied Mathematics, University of Arizona, Tucson, Arizona 85721 (United States)
2012-12-15
Gated field emission cathodes can provide short electron pulses without the requirement of laser systems or cathode heating required by photoemission or thermionic cathodes. The large electric field requirement for field emission to take place can be achieved by using a high aspect ratio cathode with a large field enhancement factor which reduces the voltage requirement for emission. In this paper, a cathode gate driver based on the output pulse train from a nonlinear transmission line is experimentally demonstrated. The application of the pulse train to a tufted carbon fiber field emission cathode generates short electron pulses. The pulses are approximately 2 ns in duration with emission currents of several mA, and the train contains up to 6 pulses at a frequency of 100 MHz. Particle-in-cell simulation is used to predict the characteristic of the current pulse train generated from a single carbon fiber field emission cathode using the same technique.
Nonlinear Eigenmodes of a Polariton Harmonic Oscillator
Florian Pinsker; and Tristram J. Alexander
2015-01-28
We investigate theoretically the quantum oscillator-like states recently observed experimentally in polariton condensates (Nat. Phys. 8, 190 (2012)). We consider a complex Gross-Pitaevskii type model which includes the effects of self-interactions, and creation and decay of exciton-polaritons. We develop a perturbation theory for approximate solutions to this non-equilibrium condensate model and compare the results with numerically calculated solutions for both repulsive and attractive polariton-polariton interactions. While the nonlinearity has a weak effect on the mode selection their density profiles are modified at moderate gain strengths and becomes more dominant when a very large gain of polaritons implies an extended cloud with high condensate densities. Finally, we identify the relation of the observed patterns to the input pump configuration, and suggest this may serve as a generalized NOR gate in the tradition of optical computing.
Nonlinear interferometry with Bose-Einstein condensates
Tacla, Alexandre B. [Center for Quantum Information and Control, MSC 07-4220, University of New Mexico, Albuquerque, New Mexico 87131-0001 (United States); Boixo, Sergio [Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125 (United States); Datta, Animesh [Clarendon Laboratory, Department of Physics, University of Oxford, OX1 3PU (United Kingdom); Shaji, Anil [School of Physics, Indian Institute of Science Education and Research, College of Engineering Trivandrum Campus, Thiruvananthapuram, Kerala 695016 (India); Caves, Carlton M. [Center for Quantum Information and Control, MSC 07-4220, University of New Mexico, Albuquerque, New Mexico 87131-0001 (United States); School of Mathematics and Physics, University of Queensland, Brisbane, Queensland 4072 (Australia)
2010-11-15
We analyze a proposed experiment [Boixo et al., Phys. Rev. Lett. 101, 040403 (2008)] for achieving sensitivity scaling better than 1/N in a nonlinear Ramsey interferometer that uses a two-mode Bose-Einstein condensate (BEC) of N atoms. We present numerical simulations that confirm the analytical predictions for the effect of the spreading of the BEC ground-state wave function on the ideal 1/N{sup 3/2} scaling. Numerical integration of the coupled, time-dependent, two-mode Gross-Pitaevskii equations allows us to study the several simplifying assumptions made in the initial analytic study of the proposal and to explore when they can be justified. In particular, we find that the two modes share the same spatial wave function for a length of time that is sufficient to run the metrology scheme.
Memory in Nonlinear Ionization of Transparent Solids
Rajeev, P. P.; Simova, E.; Hnatovsky, C.; Taylor, R. S.; Rayner, D. M.; Corkum, P. B.; Gertsvolf, M.; Bhardwaj, V. R.
2006-12-22
We demonstrate a shot-to-shot reduction in the threshold laser intensity for ionization of bulk glasses illuminated by intense femtosecond pulses. For SiO{sub 2} the threshold change serves as positive feedback reenforcing the process that produced it. This constitutes a memory in nonlinear ionization of the material. The threshold change saturates with the number of pulses incident at a given spot. Irrespective of the pulse energy, the magnitude of the saturated threshold change is constant ({approx}20%). However, the number of shots required to reach saturation does depend on the pulse energy. Recognition of a memory in ionization is vital to understand multishot optical or electrical breakdown phenomena in dielectrics.
Modified nonlinear model of arcsin-electrodynamics
Kruglov, S I
2015-01-01
A new modified model of nonlinear arcsin-electrodynamics with two parameters is proposed and analyzed. We obtain the corrections to the Coulomb law. The effect of vacuum birefringence takes place when the external constant magnetic field is present. We calculate indices of refraction for two perpendicular polarizations of electromagnetic waves and estimate bounds on the parameter $\\gamma$ from the BMV and PVLAS experiments. It is shown that the electric field of a point-like charge is finite at the origin. We calculate the finite static electric energy of point-like particles and demonstrate that the electron mass can have the pure electromagnetic nature. The symmetrical Belinfante energy-momentum tensor and dilatation current are found. We show that the dilatation symmetry and dual symmetry are broken in the model suggested.
Nonlinear effects in charge stabilized colloidal suspensions
T. Kreer; J. Horbach; A. Chatterji
2006-02-10
Molecular Dynamics simulations are used to study the effective interactions in charged stabilized colloidal suspensions. For not too high macroion charges and sufficiently large screening, the concept of the potential of mean force is known to work well. In the present work, we focus on highly charged macroions in the limit of low salt concentrations. Within this regime, nonlinear corrections to the celebrated DLVO theory [B. Derjaguin and L. Landau, Acta Physicochem. USSR {\\bf 14}, 633 (1941); E.J.W. Verwey and J.T.G. Overbeck, {\\em Theory of the Stability of Lyotropic Colloids} (Elsevier, Amsterdam, 1948)] have to be considered. For non--bulklike systems, such as isolated pairs or triples of macroions, we show, that nonlinear effects can become relevant, which cannot be described by the charge renormalization concept [S. Alexander et al., J. Chem. Phys. {\\bf 80}, 5776 (1984)]. For an isolated pair of macroions, we find an almost perfect qualitative agreement between our simulation data and the primitive model. However, on a quantitative level, neither Debye-H\\"uckel theory nor the charge renormalization concept can be confirmed in detail. This seems mainly to be related to the fact, that for small ion concentrations, microionic layers can strongly overlap, whereas, simultaneously, excluded volume effects are less important. In the case of isolated triples, where we compare between coaxial and triangular geometries, we find attractive corrections to pairwise additivity in the limit of small macroion separations and salt concentrations. These triplet interactions arise if all three microionic layers around the macroions exhibit a significant overlap. In contrast to the case of two isolated colloids, the charge distribution around a macroion in a triple is found to be anisotropic.
Nonlinear periodic waves solutions of the nonlinear self-dual network equations
Laptev, Denis V. Bogdan, Mikhail M.
2014-04-15
The new classes of periodic solutions of nonlinear self-dual network equations describing the breather and soliton lattices, expressed in terms of the Jacobi elliptic functions have been obtained. The dependences of the frequencies on energy have been found. Numerical simulations of soliton lattice demonstrate their stability in the ideal lattice and the breather lattice instability in the dissipative lattice. However, the lifetime of such structures in the dissipative lattice can be extended through the application of ac driving terms.
Perturbation Theory From Automorphic Forms
Neil Lambert; Peter West
2010-05-12
Using our previous construction of Eisenstein-like automorphic forms we derive formulae for the perturbative and non-perturbative parts for any group and representation. The result is written in terms of the weights of the representation and the derivation is largely group theoretical. Specialising to the E_{n+1} groups relevant to type II string theory and the representation associated with node n+1 of the E_{n+1} Dynkin diagram we explicitly find the perturbative part in terms of String Theory variables, such as the string coupling g_d and volume V_n. For dimensions seven and higher we find that the perturbation theory involves only two terms. In six dimensions we construct the SO(5,5) automorphic form using the vector representation. Although these automorphic forms are generally compatible with String Theory, the one relevant to R^4 involves terms with g_d^{-6} and so is problematic. We then study a constrained SO(5,5) automorphic form, obtained by summing over null vectors, and compute its perturbative part. We find that it is consistent with String Theory and makes precise predictions for the perturbative results. We also study the unconstrained automorphic forms for E_6 in the 27 representation and E_7 in the 133 representation, giving their perturbative part and commenting on their role in String Theory.
Student Refund Appeal Form Use this form if
Karsai, Istvan
documentation. Retain a copy for yourself and return completed form to: ETSU Office of the Registrar Box 70561 101 Burgin Dossett Hall Johnson City, Tennessee 37614 To review ETSU policies for refunds please go to: http://www.etsu.edu/fa/fs/bursar/tuitioninfo/Fee_Adj_Refund_Policy.aspx Date: Name: Please choose one
Method of forming structural heliostat
Anderson, Alfred J. (Littleton, CO)
1984-06-26
In forming a heliostat having a main support structure and pivoting and tilting motors and gears and a mirror module for reflecting solar energy onto a collector, the improvement characterized by a method of forming the mirror module in which the mirror is laid upon a solid rigid supporting bed in one or more sections, with or without focusing; a mirror backing sheet is applied by first applying respective thin layers of silicone grease and, thereafter, progressively rolling application to eliminate air bubbles; followed by affixing of a substrate assembly to the mirror backing sheet to form a mirror module that does not curve because of thermally induced stresses and differential thermal expansion or contraction effects. The silicone grease also serves to dampen fluttering of the mirror and protect the mirror backside against adverse effects of the weather. Also disclosed are specific details of preferred embodiments.
Substrate system for spray forming
Chu, Men G. (Export, PA); Chernicoff, William P. (Harrisburg, PA)
2002-01-01
A substrate system for receiving a deposit of sprayed metal droplets including a movable outer substrate on which the sprayed metal droplets are deposited. The substrate system also includes an inner substrate disposed adjacent the outer substrate where the sprayed metal droplets are deposited on the outer substrate. The inner substrate includes zones of differing thermal conductivity to resist substrate layer porosity and to resist formation of large grains and coarse constituent particles in a bulk layer of the metal droplets which have accumulated on the outer substrate. A spray forming apparatus and associated method of spray forming a molten metal to form a metal product using the substrate system of the invention is also provided.
Substrate system for spray forming
Chu, Men G. (Export, PA); Chernicoff, William P. (Harrisburg, PA)
2000-01-01
A substrate system for receiving a deposit of sprayed metal droplets including a movable outer substrate on which the sprayed metal droplets are deposited. The substrate system also includes an inner substrate disposed adjacent the outer substrate where the sprayed metal droplets are deposited on the outer substrate. The inner substrate includes zones of differing thermal conductivity to resist substrate layer porosity and to resist formation of large grains and coarse constituent particles in a bulk layer of the metal droplets which have accumulated on the outer substrate. A spray forming apparatus and associated method of spray forming a molten metal to form a metal product using the substrate system of the invention is also provided.
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Nonlinear dynamics of a system of particle-like wavepackets
A. Babin; A. Figotin
2007-08-13
This work continues our studies of nonlinear evolution of a system of wavepackets. We study a wave propagation governed by a nonlinear system of hyperbolic PDE's with constant coefficients with the initial data being a multi-wavepacket. By definition a general wavepacket has a well defined principal wave vector, and, as we proved in previous works, the nonlinear dynamics preserves systems of wavepackets and their principal wave vectors. Here we study the nonlinear evolution of a special class of wavepackets, namely particle-like wavepackets. A particle-like wavepacket is of a dual nature: on one hand, it is a wave with a well defined principal wave vector, on the other hand, it a particle in the sense that it can be assigned a well defined position in the space. We prove that under the nonlinear evolution a generic multi-particle wavepacket remains to be a multi-particle wavepacket with a high accuracy, and every constituting single particle-like wavepacket not only preserves its principal wave number but also it has a well-defined space position evolving with a constant velocity which is its group velocity. Remarkably the described properties hold though the involved single particle-like wavepackets undergo nonlinear interactions and multiple collisions in the space. We also prove that if principal wavevectors of multi-particle wavepacket are generic, the result of nonlinear interactions between different wavepackets is small and the approximate linear superposition principle holds uniformly with respect to the initial spatial positions of wavepackets.
Technetium Immobilization Forms Literature Survey
Westsik, Joseph H.; Cantrell, Kirk J.; Serne, R. Jeffrey; Qafoku, Nikolla
2014-05-01
Of the many radionuclides and contaminants in the tank wastes stored at the Hanford site, technetium-99 (99Tc) is one of the most challenging to effectively immobilize in a waste form for ultimate disposal. Within the Hanford Tank Waste Treatment and Immobilization Plant (WTP), the Tc will partition between both the high-level waste (HLW) and low-activity waste (LAW) fractions of the tank waste. The HLW fraction will be converted to a glass waste form in the HLW vitrification facility and the LAW fraction will be converted to another glass waste form in the LAW vitrification facility. In both vitrification facilities, the Tc is incorporated into the glass waste form but a significant fraction of the Tc volatilizes at the high glass-melting temperatures and is captured in the off-gas treatment systems at both facilities. The aqueous off-gas condensate solution containing the volatilized Tc is recycled and is added to the LAW glass melter feed. This recycle process is effective in increasing the loading of Tc in the LAW glass but it also disproportionally increases the sulfur and halides in the LAW melter feed which increases both the amount of LAW glass and either the duration of the LAW vitrification mission or the required supplemental LAW treatment capacity.
Switzner, Nathan; Henry, Dick
2009-03-20
In a second development order, spin-forming equipment was again evaluated using the test shape, a hemispherical shell. In this second development order, pure vanadium and alloy titanium (Ti-6Al-4V) were spin-formed, as well as additional copper and 21-6-9 stainless. In the first development order the following materials had been spin-formed: copper (alloy C11000 ETP), 6061 aluminum, 304L stainless steel, 21-6-9 stainless steel, and tantalum-2.5% tungsten. Significant challenges included properly adjusting the rotations-per-minute (RPM), cracking at un-beveled edges and laser marks, redressing of notches, surface cracking, non-uniform temperature evolution in the titanium, and cracking of the tailstock. Lessons learned were that 300 RPM worked better than 600 RPM for most materials (at the feed rate of 800 mm/min); beveling the edges to lower the stress reduces edge cracking; notches, laser marks, or edge defects in the preform doom the process to cracking and failure; coolant is required for vanadium spin-forming; increasing the number of passes to nine or more eliminates surface cracking for vanadium; titanium develops a hot zone in front of the rollers; and the tailstock should be redesigned to eliminate the cylindrical stress concentrator in the center.
Banner Advancement Account Request Form
Karsai, Istvan
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HR Partners: Checklist, Forms & Reports
Hammack, Richard
HR Partners: Checklist, Forms & Reports VCU Human Resources September 17 & 18 #12;Agenda Opening the new 29 Hour Reporting Tool Share the "The Happenings" Clarify the purpose & execution of Separation;Our Session #12;Our Session 2. Outline how to document, report and adjust staff hours impacted
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Lin, Dekang
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Purple Heart Scholarship Eligibility Form
Maxwell, Bruce D.
Purple Heart Scholarship Eligibility Form School: The Purple Heart Scholarship Program stemmed from is intended to increase access and affordability for Montana- Resident, Purple Heart Recipients-Time GPA OF 2.0 OR GREATER IN A PREVIOUS YEAR: YES NO DD 214 IN FILE WITH PURPLE HEART: YES NO THIS SECTION
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Saskatchewan, University of
Report Form for Program Termination Program(s) to be deleted: Effective date of termination: 1. List reasons for termination and describe the background leading to this decision. 2. Technical the last five years. #12;3. Impact of the termination. Internal 3.1 What if any impact
Campus Health Center Immunization Form
Finley Jr., Russell L.
immunizations are recommended for college students? Meningitis vaccine - Highly recommended for all incomingCampus Health Center Immunization Form 2015 2016 Wayne State University (WSU) requires that your. WSU recommends that students come to school fully immunized to protect their health and the health
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Alpay, S. Pamir
will be forwarded for 2 months. Notify Payroll (renee.ferriere@uconn.edu) of your new address for your tax forms. (Distribution: student-2/advisor/IMS). No cost to the student. IMS #100 _____ Return of IMS' copies of borrowed thesis to Maria Mejias. IMS #100 _____ Return of IMS FOB / Building Entry Card / Door Keys to Deb Perko
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Pfeifer, Holger
ERASMUS EXCHANGE HOUSING APPLICATION FORM PERSONAL DATA Family Name / Last Name Type your names Permanent Address Street, House Number Postal Code, City Country Phone Number eMail Address MOBILITY August 31. See: www.uni-ulm.de/io/exchange/housing.html Beginning of rental period: End of rental period
Process for forming sulfuric acid
Lu, Wen-Tong P. (Upper St. Clair, PA)
1981-01-01
An improved electrode is disclosed for the anode in a sulfur cycle hydrogen generation process where sulfur dioxie is oxidized to form sulfuric acid at the anode. The active compound in the electrode is palladium, palladium oxide, an alloy of palladium, or a mixture thereof. The active compound may be deposited on a porous, stable, conductive substrate.
Bayley, H.; Walker, B.J.; Chang, C.Y.; Niblack, B.; Panchal, R.
1998-07-07
An inactive pore-forming agent is revealed which is activated to lytic function by a condition such as pH, light, heat, reducing potential, or metal ion concentration, or substance such as a protease, at the surface of a cell. 30 figs.
Nonlinear Optical Galton Board: thermalization and continuous limit
Giuseppe Di Molfetta; Fabrice Debbasch; Marc Brachet
2015-06-13
The nonlinear optical Galton board (NLOGB), a quantum walk like (but nonlinear) discrete time quantum automaton, is shown to admit a complex evolution leading to long time thermalized states. The continuous limit of the Galton Board is derived and shown to be a nonlinear Dirac equation (NLDE). The (Galerkin truncated) NLDE evolution is shown to thermalize toward states qualitatively similar to those of the NLOGB. The NLDE conserved quantities are derived and used to construct a stochastic differential equation converging to grand canonical distributions that are shown to reproduce the (micro canonical) NLDE thermalized statistics. Both the NLOGB and the Galerkin-truncated NLDE are thus demonstrated to exhibit spontaneous thermalization.
Preserving Privacy in RFID Deployment RVS-Occ-04-01
Ladkin, Peter B.
, Walmart and Metro, who are marking products from livestock to cream cheese with ID numbers for several
Microsoft Word - OccMed Recompete Contract Management Plan APM Comments Addressed.docx
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on QA:QA J-E-1 SECTION J APPENDIX E LIST OF APPLICABLEStatutory Authority forPerk |DepartmentProtocolDepartment of
Organic materials with nonlinear optical properties
Stupp, S.I.; Son, S.; Lin, H.C.
1995-05-02
The present invention is directed to organic materials that have the ability to double or triple the frequency of light that is directed through the materials. Particularly, the present invention is directed to the compound 4-[4-(2R)-2-cyano-7-(4{prime}-pentyloxy-4-biphenylcarbonyloxy)phenylheptylidenephenylcarbonyloxy]benzaldehyde, which can double the frequency of light that is directed through the compound. The invention is also directed to the compound (12-hydroxy-5,7-dodecadiynyl)-4{prime}-[(4{prime}-pentyloxy-4-biphenyl)carbonyloxy]-4-biphenylcarboxylate, and its polymeric form. The polymeric form can triple the frequency of light directed through it. 4 figs.
Butt, Darryl Paul; Cutler, Raymond Ashton; Rynders, Steven Walton; Carolan, Michael Francis
2006-08-22
A method of joining at least two sintered bodies to form a composite structure, including providing a first multicomponent metallic oxide having a perovskitic or fluorite crystal structure; providing a second sintered body including a second multicomponent metallic oxide having a crystal structure of the same type as the first; and providing at an interface a joint material containing at least one metal oxide containing at least one metal identically contained in at least one of the first and second multicomponent metallic oxides. The joint material is free of cations of Si, Ge, Sn, Pb, P and Te and has a melting point below the sintering temperatures of both sintered bodies. The joint material is heated to a temperature above the melting point of the metal oxide(s) and below the sintering temperatures of the sintered bodies to form the joint. Structures containing such joints are also disclosed.
Unsplit bipolar pulse forming line
Rhodes, Mark A. (Pleasanton, CA)
2011-05-24
A bipolar pulse forming transmission line module and system for linear induction accelerators having first, second, third, and fourth planar conductors which form a sequentially arranged interleaved stack having opposing first and second ends, with dielectric layers between the conductors. The first and second planar conductors are connected to each other at the first end, and the first and fourth planar conductors are connected to each other at the second end via a shorting plate. The third planar conductor is electrically connectable to a high voltage source, and an internal switch functions to short at the first end a high voltage from the third planar conductor to the fourth planar conductor to produce a bipolar pulse at the acceleration axis with a zero net time integral. Improved access to the switch is enabled by an aperture through the shorting plate and the proximity of the aperture to the switch.
Method of forming calthrate ice
Hino, T.; Gorski, A.J.
1985-09-30
A method of forming clathrate ice in a supercooled water-based liquid contained in a vessel is disclosed. Initially, an oscillator device is located in the liquid in the vessel. The oscillator device is then oscillated ultransonically so that small crystals are formed in the liquid. Thes small crystals serve as seed crystals for ice formation in the liquid and thereby prevent supercooling of the liquid. Preferably, the oscillating device is controlled by a thermostat which initiates operation of the oscillator device when the temperature of the liquid is lowered to the freezing point. Thereafter, the operation of the oscillator device is terminated when ice is sensed in the liquid by an ice sensor.
Method of forming clathrate ice
Hino, Toshiyuki (Tokyo, JP); Gorski, Anthony J. (Lemont, IL)
1987-01-01
A method of forming clathrate ice in a supercooled water-based liquid contained in a vessel is disclosed. Initially, an oscillator device is located in the liquid in the vessel. The oscillator device is then oscillated ultrasonically so that small crystals are formed in the liquid. These small crystals serve as seed crystals for ice formation in the liquid and thereby prevent supercooling of the liquid. Preferably, the oscillating device is controlled by a thermostat which initiates operation of the oscillator device when the temperature of the liquid is lowered to the freezing point. Thereafter, the operation of the oscillator device is terminated when ice is sensed in the liquid by an ice sensor.
Harmonic Image Reconstruction Assisted by a Nonlinear Metmaterial Surface
Wang, Zhiyu
We experimentally demonstrate a microwave far-field image reconstruction modality with the transverse resolution exceeding the diffraction limit by using a single layer of highly nonlinear metamaterial. The harmonic fields ...
Nonlinear Overlapping Domain Decomposition Xiao-Chuan Cai1
Cai, Xiao-Chuan
Nonlinear Overlapping Domain Decomposition Methods Xiao-Chuan Cai1 Department of Computer Science, and CNS-0722023. #12;2 Xiao-Chuan Cai the following steps: first find an inexact Newton direction p
Symmetries and Exact Solutions of Nonlinear Dirac Equations
Wilhelm Fushchych; Renat Zhdanov
2006-09-18
The authors give a detailed information about symmetry (Lie, non-Lie, conditional) of nonlinear PDEs for spinor, vector and scalar fields; using advanced methods of group-theoretical, symmetry analysis construct wide families of classical solutions of the nonlinear Dirac, Yang-Mills, Maxwell-Dirac, Dirac-d'Alembert, d'Alembert-Hamilton equations; expound a new symmetry approach to variable separation in linear and nonlinear PDEs, which allows, in particular, to classify separable Schroedinger equations. The book offers a uniform and relatively simple presentation of a considerable amount of material that is otherwise not easily available. The basic part of the book contains original results obtained by the authors. It is sure to be of interest to mathematical and theoretical physicists, particularly those working on classical and quantum field theories and on nonlinear dynamical systems.
Validated global multiobjective optimization of trajectories in nonlinear dynamical systems
Coffee, Thomas Merritt
2015-01-01
We introduce a new approach for global multiobjective optimization of trajectories in continuous nonlinear dynamical systems that can provide rigorous, arbitrarily tight bounds on the objective values and state paths ...
Modelling the Nonlinear Gravitational Clustering in the Expanding Universe
T. Padmanabhan
1995-08-26
The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is indeed possible to understand the nonlinear clustering in terms of three well defined regimes: (1) linear regime (2) quasilinear regime which is dominated by scale-invariant radial infall and (3) nonlinear regime dominated by nonradial motions and mergers. Modelling each of these regimes separately I show how the nonlinear two point correlation function can be related to the linear correlation function in heirarchical models. This analysis leads to results which are in good agreement with numerical simulations thereby providing an explanation for numerical results. The ideas presented here will also serve as a powerful anlytical tool to investigate nonlinear clustering in different models. Several implications of the result are discussed.
Nonlinear beam-based vibration energy harvesters and load cells
Kluger, Jocelyn Maxine
2014-01-01
This thesis studies a novel nonlinear spring mechanism that is comprised of a cantilever wrapping around a curved surface as it deflects. Static force versus displacement tests and dynamic "initial displacement" tests ...
Nonlinear stability of cosmological solutions in massive gravity
Felice, Antonio De [ThEP's CRL, NEP, The Institute for Fundamental Study, Naresuan University, Phitsanulok 65000 (Thailand); Gümrükçüo?lu, A. Emir; Lin, Chunshan; Mukohyama, Shinji, E-mail: antoniod@nu.ac.th, E-mail: emir.gumrukcuoglu@ipmu.jp, E-mail: chunshan.lin@ipmu.jp, E-mail: shinji.mukohyama@ipmu.jp [Kavli Institute for the Physics and Mathematics of the Universe (WPI), Todai Institutes for Advanced Study, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8583 (Japan)
2013-05-01
We investigate nonlinear stability of two classes of cosmological solutions in massive gravity: isotropic Friedmann-Lemaître-Robertson-Walker (FLRW) solutions and anisotropic FLRW solutions. For this purpose we construct the linear cosmological perturbation theory around axisymmetric Bianchi type-I backgrounds. We then expand the background around the two classes of solutions, which are fixed points of the background evolution equation, and analyze linear perturbations on top of it. This provides a consistent truncation of nonlinear perturbations around these fixed point solutions and allows us to analyze nonlinear stability in a simple way. In particular, it is shown that isotropic FLRW solutions exhibit nonlinear ghost instability. On the other hand, anisotropic FLRW solutions are shown to be ghost-free for a range of parameters and initial conditions.
Rogue events in complex linear and nonlinear photonic media
Mattheakis, M; Tsironis, G P; Tzortzakis, S
2015-01-01
Ocean rogue waves (RW) -huge solitary waves- have for long triggered the interest of scientists. RWs emerge in a complex environment and it is still dubious the importance of linear versus nonlinear processes. Recent works have demonstrated that RWs appear in various other physical systems such as microwaves, nonlinear crystals, cold atoms, etc. In this work we investigate optical wave propagation in strongly scattering random lattices embedded in the bulk of transparent glasses. In the linear regime we observe the appearance of RWs that depend solely on the scattering properties of the medium. Interestingly, the addition of nonlinearity does not modify the RW statistics, while as the nonlinearities are increased multiple-filamentation and intensity clamping destroy the RW statistics. Numerical simulations agree nicely with the experimental findings and altogether prove that optical rogue waves are generated through the linear strong scattering in such complex environments.
Competing nonlinearities with metamaterials Polina V. Kapitanova,1
Technologies, Mechanics and Optics (ITMO), St. Petersburg 197101, Russia 2 Nonlinear Physics Center, Research, which can rarely be found in nat- ural dielectric materials.2 Recently emerged physics of metamaterials
Nonlinear adaptive internal model control using neural networks
Gandhi, Amit Krushnavadan
2001-01-01
The IMC structure, where the controller implementation includes an explicit model of the plant, has been shown to be very effective for the control of the stable plants typically encountered in process control. A nonlinear internal model control...
Nonlinear analysis of speech from a synthesis perspective
Banbrook, Michael
With the emergence of nonlinear dynamical systems analysis over recent years it has become clear that conventional time domain and frequency domain approaches to speech synthesis may be far from optimal. Using state space ...
AIAA-99-1470 NONLINEAR AEROELASTICITY AND FLIGHT
Patil, Mayuresh
.2 ONERA stall model was used for aerodynamic loads. Tang and Dowell have studied the flutter was mod- eled using the ONERA dynamic stall model. Virgin and Dowell have studied the nonlinear be- havior
Nonlinear acoustics experimental characterization of microstructure evolution in Inconel 617
Yao, Xiaochu; Liu, Yang; Lissenden, Cliff J. [Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, PA 16802 (United States)
2014-02-18
Inconel 617 is a candidate material for the intermediate heat exchanger in a very high temperature reactor for the next generation nuclear power plant. This application will require the material to withstand fatigue-ratcheting interaction at temperatures up to 950°C. Therefore nondestructive evaluation and structural health monitoring are important capabilities. Acoustic nonlinearity (which is quantified in terms of a material parameter, the acoustic nonlinearity parameter, ?) has been proven to be sensitive to microstructural changes in material. This research develops a robust experimental procedure to track the evolution of damage precursors in laboratory tested Inconel 617 specimens using ultrasonic bulk waves. The results from the acoustic non-linear tests are compared with stereoscope surface damage results. Therefore, the relationship between acoustic nonlinearity and microstructural evaluation can be clearly demonstrated for the specimens tested.
Model reduction for nonlinear dynamical systems with parametric uncertainties
Zhou, Yuxiang Beckett
2012-01-01
Nonlinear dynamical systems are known to be sensitive to input parameters. In this thesis, we apply model order reduction to an important class of such systems -- one which exhibits limit cycle oscillations (LCOs) and ...
Parameterized model order reduction for nonlinear dynamical systems
Bond, Bradley N. (Bradley Neil)
2006-01-01
The presence of several nonlinear analog circuits and Micro-Electro-Mechanical (MEM) components in modern mixed signal System-on-Chips (SoC) makes the fully automatic synthesis and optimization of such systems an extremely ...
Strong nonlinear current–voltage behaviour in iron oxyborate
Song, Yuanjun [Department of Physics, Beihang University, Beijing 100191 (China); Xu, Yingying; Song, Yujun [School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083 (China); Li, Jianqi [Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China); Wang, Rongming, E-mail: rmwang@buaa.edu.cn [Department of Physics, Beihang University, Beijing 100191 (China); School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083 (China)
2014-11-15
Strong nonlinear resistance has been found in the charge ordered ferroelectric iron oxyborate (Fe{sub 2}OBO{sub 3}) with a high dielectric constant and giant converse magnetoelectric effect. In low temperature range the I-V nonlinearity increases quickly with decreasing temperature. Transport measurements on polycrystalline and single crystal Fe{sub 2}OBO{sub 3} indicate that the nonlinearity is not induced by grain boundaries. The nonlinear I-V behavior is intrinsically correlated with the charge order phase melting in Fe{sub 2}OBO{sub 3} by detailed in-situ TEM investigations. These results provide an insight into structure-activity relationship of resistance switching effects at atomic and electric scales, which is essential for its potential application as varistors and storage media.
A new Lyapunov design method for nonlinear process control
Dubljevic, Stevan
2001-01-01
The present research work proposes a new nonlinear controller synthesis approach that is based on the methodological principles of Lyapunov design. In particular, it introduces a notion of short-horizon model-based prediction and optimization...
Non-linear electrophoresis of ideally polarizable particles
Chan, Wai Hong Ronald
2014-01-01
This thesis investigates the non-linear regime of electrophoresis, in particular the variation of electrophoretic velocity with electric field at high field strengths. Known theoretical approaches to the problem accounting ...
Nonlinear dynamics of two coupled nano-electromechanical resonators
L. Chotorlishvili; A. Ugulava; G. Mchedlishvili; A. Komnik; S. Wimberger; J. Berakdar
2011-06-26
As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the driving frequency and for the energy transfer rate between the two oscillators. The nonlinear restoring forces induce the expected nonlinear resonance structures in the amplitude-frequency characteristics with asymmetric resonance peaks. The corresponding multistable behavior is shown to be an efficient tool to control the energy transfer arising from the sensitive response to small changes in the driving frequency. Our results imply that the nonlinear response can be exploited to design precise sensors for mass or force detection experiments based on nano-electromechanical resonators.
Optical fiber based ultrashort pulse multispectral nonlinear optical microscopy
Larson, Adam Michael
2009-05-15
Nonlinear optical microscopy (NLOM) utilizing femtosecond laser pulses is well suited for imaging living tissues. This work reports on the design and development of an optical fiber based multispectral NLOM developed around ...
Experimental nonlinear laser systems: Bigger data for better science?
Kane, D. M.; Toomey, J. P.; McMahon, C.; Noblet, Y.; Argyris, A.; Syvridis, D.
2014-10-06
Bigger data is supporting knowledge discovery in nonlinear laser systems as will be demonstrated with examples from three semiconductor laser based systems – one with optical feedback, a photonic integrated circuit (PIC) chaotic laser and a frequency shifted feedback laser system.
Type-0 second order nonlinear interaction in monolithic waveguides of
Type-0 second order nonlinear interaction in monolithic waveguides of isotropic semiconductors, Handbook of Optical Constants of Solids (Academic Prsee, Orlando, Florida, 1985). 5. M. Ravaro, M. Le D
A numerical method for fully nonlinear aeroelastic analysis
Gargoloff, Joaquin Ivan
2009-05-15
interaction between the nonlinear structure and the fluid flow. The flow around the deforming wing was modeled as unsteady, compressible and viscous using the Reynolds-averaged Navier-Stokes (RANS) equations. To reduce the computational time, a three...
Dawn of x-ray nonlinear optics | Stanford Synchrotron Radiation...
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Dawn of x-ray nonlinear optics Wednesday, July 8, 2015 - 3:00pm SLAC, Redtail Hawk Conference Room 108A Speaker: David Reis, PULSE Program Description X-ray free electron lasers...
Few-photon coherent nonlinear optics with a single molecule
Maser, Andreas; Utikal, Tobias; Götzinger, Stephan; Sandoghdar, Vahid
2015-01-01
The pioneering experiments of linear spectroscopy were performed using flames in the 1800s, but nonlinear optical measurements had to wait until lasers became available in the twentieth century. Because the nonlinear cross section of materials is very small, usually macroscopic bulk samples and pulsed lasers are used. Numerous efforts have explored coherent nonlinear signal generation from individual nanoparticles or small atomic ensembles with millions of atoms. Experiments on a single semiconductor quantum dot have also been reported, albeit with a very small yield. Here, we report on coherent nonlinear spectroscopy of a single molecule under continuous-wave single-pass illumination, where efficient photon-molecule coupling in a tight focus allows switching of a laser beam by less than a handful of pump photons nearly resonant with the sharp molecular transition. Aside from their fundamental importance, our results emphasize the potential of organic molecules for applications such as quantum information pro...
COCONUT Deliverable D1 Algorithms for Solving Nonlinear Constrained
Neumaier, Arnold
COCONUT Deliverable D1 Algorithms for Solving Nonlinear Constrained and Optimization Problems: The State of The Art June 8, 2001 The Coconut Project Christian Bliek ILOG Peter Spellucci TU Darmstadt Lu
Collisional effects on nonlinear ion drag force for small grains
Hutchinson, Ian H.
The ion drag force arising from plasma flow past an embedded spherical grain is calculated self-consistently and non-linearly using particle in cell codes, accounting for ion-neutral collisions. Using ion velocity distribution ...
Fresnel analysis of the wave propagation in nonlinear electrodynamics
Yuri N. Obukhov; Guillermo F. Rubilar
2002-04-05
We study the wave propagation in nonlinear electrodynamical models. Particular attention is paid to the derivation and the analysis of the Fresnel equation for the wave covectors. For the class of general nonlinear Lagrangian models, we demonstrate how the originally quartic Fresnel equation factorizes, yielding the generic birefringence effect. We show that the closure of the effective constitutive (or jump) tensor is necessary and sufficient for the absence of birefringence, i.e., for the existence of a unique light cone structure. As another application of the Fresnel approach, we analyze the light propagation in a moving isotropic nonlinear medium. The corresponding effective constitutive tensor contains non-trivial skewon and axion pieces. For nonmagnetic matter, we find that birefringence is induced by the nonlinearity, and derive the corresponding optical metrics.
Nonlinear Viscoelastic Biomaterials: Meaningful Characterization and Engineering Inspiration
1/21 Nonlinear Viscoelastic Biomaterials: Meaningful Characterization and Engineering Inspiration Annual Meeting Symposium: Biomaterials: Properties, Variation and Evolution Keywords: biomechanics, mucus techniques for characterization, pedal mucus samples (and biomaterials in general) are viscoelastic
Nonlinear Analysis and Dynamic Structure in the Energy Market
Aghababa, Hajar
2012-08-31
and tests different null hypotheses. It utilizes the daily spot price observations on five major products in the energy market. The results suggest that the time series daily spot prices of the energy products are highly nonlinear in their nature...
NONLINEARITY AND COMPLEXITY IN GRAVEL BED DYNAMICS Arvind Singh
NONLINEARITY AND COMPLEXITY IN GRAVEL BED DYNAMICS By Arvind Singh Stefano Lanzoni and Efi Foufoula Singh1 , Stefano Lanzoni2 , and Efi Foufoula-Georgiou1 1 St. Anthony Falls Laboratory and National
Alternative Fourier-series approach to nonlinear oscillations
Francisco M. Fernández
2009-10-12
We propose an alternative approach that avoids the nonlinear equations for the Fourier coefficients that appear in the method of harmonic balance. We apply it to two simple illustrative examples.
Linear and Nonlinear Generative Probabilistic Class Models for Shape Contours
McNeill, Graham; Vijayakumar, Sethu
We introduce a robust probabilistic approach to modeling shape contours based on a low- dimensional, nonlinear latent variable model. In contrast to existing techniques that use objective functions in data space without ...
Identifying nonlinear variaiton patterns in multivariate manufacturing processes
Zhang, Feng
2005-02-17
This dissertation develops a set of nonlinear variation pattern identification methods that are intended to aid in diagnosing the root causes of product variability in complex manufacturing processes, in which large amounts of high dimensional in...
Error bars for linear and nonlinear neural network regression models
Penny, Will
Error bars for linear and nonlinear neural network regression models William D. Penny and Stephen J College of Science, Technology and Medicine, London SW7 2BT., U.K. w.penny@ic.ac.uk, s
Progress on Optimization of the Nonlinear Beam Dynamics in the...
Office of Scientific and Technical Information (OSTI)
in the MEIC Collider Rings Citation Details In-Document Search Title: Progress on Optimization of the Nonlinear Beam Dynamics in the MEIC Collider Rings One of the key...
NONLINEARITY AND MARKET EFFICIENCY IN GCC STOCK MARKETS
Alharbi, Abdullah M. H.
2009-07-31
): Bahrain, Kuwait, Oman, Qatar, Saudi Arabia, and the United Arab Emirates (UAE), using three robust and highly regarded nonlinearity tests. In addition, the Efficient Market Hypothesis (EMH) was tested in this dissertation for the GCC stock markets using...
ME/SE 762 Nonlinear Systems and Control Location: SOC B63
Lin, Xi
ME/SE 762 Nonlinear Systems and Control Location: SOC B63 Time: Tue & Thu 12-2 Instructor: Calin-4 #12;ME/SE 762 Nonlinear Systems and Control Prerequisites: a grad-level class on linear systems: · stability analysis of nonlinear systems (with emphasis on Lyapunov theory) · nonlinear feedback control
Nonlinear Dynamics and Quantum Entanglement in Optomechanical Systems Guanglei Wang,1
Lai, Ying-Cheng
Nonlinear Dynamics and Quantum Entanglement in Optomechanical Systems Guanglei Wang,1 Liang Huang,2, is nonlinear. A nonlinear dynamical system can exhibit all kinds of interesting phenomena such as periodic at the other. In view of the ubiquity of nonlinear dynamics in physical systems and of the funda- mental
Stability of an Euler-Bernoulli beam with a nonlinear dynamic feedback system
Arnold, Anton
Stability of an Euler-Bernoulli beam with a nonlinear dynamic feedback system M. Mileti´ca , D. St to a nonlinear dynamic feedback system. This setup comprises nonlinear dynamic boundary controllers satisfying with the interaction of the Euler-Bernoulli beam (1.1) - (1.3) with a dynamic nonlinear feedback system. In particular
Finite Element Analysis of Nonlinear Thickness-shear Vibrations of AT-cut Quartz Crystal Plates
Wang, Ji
Finite Element Analysis of Nonlinear Thickness-shear Vibrations of AT-cut Quartz Crystal Plates Ji, dujianke}@nbu.edu.cn Abstract--The nonlinear finite element analysis is performed with the nonlinear a smaller size in comparison with the 3D approach. General procedure of nonlinear finite element analysis
Vecchio, Frank J.
Abstract ii NONLINEAR FINITE ELEMENT ANALYSIS OF REINFORCED CONCRETE STRUCTURES SUBJECTED nonlinear finite element transient thermal analysis is implemented into program VecTor2©, a nonlinear's response to thermal loads, this research develops and implements a 2D nonlinear finite element transient
NMOSE Forms | Open Energy Information
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Jan Kyziol; Andrzej Okninski
2012-11-02
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics. Periodic steady-state solutions of the fourth-order equation are determined within the Krylov-Bogoliubov-Mitropolsky approach - we compute the amplitude profiles, which from mathematical point of view are algebraic curves. In the present paper we investigate metamorphoses of amplitude profiles induced by changes of control parameters near singular points of these curves. It follows that dynamics changes qualitatively in the neighbourhood of a singular point.
Measuring non-linear functionals of quantum harmonic oscillator states
K. L. Pregnell
2005-11-01
Using only linear interactions and a local parity measurement we show how entanglement can be detected between two harmonic oscillators. The scheme generalizes to measure both linear and non-linear functionals of an arbitrary oscillator state. This leads to many applications including purity tests, eigenvalue estimation, entropy and distance measures - all without the need for non-linear interactions or complete state reconstruction. Remarkably, experimental realization of the proposed scheme is already within the reach of current technology with linear optics.
Energy localization in nonlinear fiber arrays: Collapse-effect compressor
Aceves, A.B.; Luther, G.G.; De Angelis, C.; Turitsyn, S.K.
1995-07-03
We analyze a collapse mechanism of energy localization in nonlinear fiber arrays. The nonlinear fiber array is suggested as a device to amplify and compress optical pulses. Pulse propagation in one-dimensional fiber arrays has features of collapse (self-focusing) dynamics. Collapse-type compression leads to the localization of all energy initially dispersed in array into a few fibers. Numerical simulations demonstrate the robustness of the suggested compression mechanism.
Epileptic seizure prediction by non-linear methods
Hively, Lee M. (Knoxville, TN); Clapp, Ned E. (Knoxville, TN); Daw, C. Stuart (Knoxville, TN); Lawkins, William F. (Knoxville, TN)
1999-01-01
Methods and apparatus for automatically predicting epileptic seizures monitor and analyze brain wave (EEG or MEG) signals. Steps include: acquiring the brain wave data from the patient; digitizing the data; obtaining nonlinear measures of the data via chaotic time series analysis tools; obtaining time serial trends in the nonlinear measures; comparison of the trend to known seizure predictors; and providing notification that a seizure is forthcoming.
An investigation into methods of solution for nonlinear structural problems
Henkel, Edwin Eugene
1973-01-01
AN INVESTIGATION INTO METHODS OF SOLUTION FOR NONLINEAR STRUCTURAL PROBLEMS A Thesis bY EDWIN E. EENKEL Submitted to the Graduate College of Texas ASM University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE... December 1973 Major Subject: Interdisplinary Engineering AN INVESTIGATION INTO METHODS OF SOLUTION FOR NONLINEAR STRUCTURAL PROBLEMS A Thesis EDNIN E. HENKEL Approved as to style and content by: (Chairman of Committee) (Head of Department) (Member...
Epileptic seizure prediction by non-linear methods
Hively, L.M.; Clapp, N.E.; Day, C.S.; Lawkins, W.F.
1999-01-12
This research discloses methods and apparatus for automatically predicting epileptic seizures monitor and analyze brain wave (EEG or MEG) signals. Steps include: acquiring the brain wave data from the patient; digitizing the data; obtaining nonlinear measures of the data via chaotic time series analysis tools; obtaining time serial trends in the nonlinear measures; comparison of the trend to known seizure predictors; and providing notification that a seizure is forthcoming. 76 figs.
Applications of nonlinear system identification to structural health monitoring.
Farrar, C. R. (Charles R.); Sohn, H. (Hoon); Robertson, A. N. (Amy N.)
2004-01-01
The process of implementing a damage detection strategy for aerospace, civil and mechanical engineering infrastructure is referred to as structural health monitoring (SHM). In many cases damage causes a structure that initially behaves in a predominantly linear manner to exhibit nonlinear response when subject to its operating environment. The formation of cracks that subsequently open and close under operating loads is an example of such damage. The damage detection process can be significantly enhanced if one takes advantage of these nonlinear effects when extracting damage-sensitive features from measured data. This paper will provide an overview of nonlinear system identification techniques that are used for the feature extraction process. Specifically, three general approaches that apply nonlinear system identification techniques to the damage detection process are discussed. The first two approaches attempt to quantify the deviation of the system from its initial linear characteristics that is a direct result of damage. The third approach is to extract features from the data that are directly related to the specific nonlinearity associated with the damaged condition. To conclude this discussion, a summary of outstanding issues associated with the application of nonlinear system identification techniques to the SHM problem is presented.
Four-photon homoclinic instabilities in nonlinear highly birefringent media
De Angelis, C.; Santagiustina, M. ); Trillo, S. )
1995-01-01
We investigate the nonlinear dynamics of a nonconventional (i.e., pumped by a mixed-mode wave) modulational instability in a highly birefringent nonlinear dispersive medium. We find that the depleted regime of propagation beyond the linearized stage can be described analytically in a proper region of the parameter space. In this case the governing coupled nonlinear Schroedinger equations, which are not integrable, are reduced to an integrable one-dimensional nonlinear oscillator that rules the propagation of the pump wave and a single sideband pair. This approach permits us to predict the existence of stable and unstable manifolds of time-periodic solutions of the coupled nonlinear Schroedinger equations. The nonlinear dynamics governed by these equations mimics the period-doubling instabilities associated with the homoclinic separatrices in the reduced phase space. Moreover, our approach is also capable of describing the onset of spatial chaos that occurs when the parameter values are such that the additional degree of freedom represented by the conjugated sidebands becomes effective.
Gupta, Samit Kumar
2015-01-01
In this work, we have studied the peregrine rogue wave dynamics, with a solitons on finite background (SFB) ansatz, in the recently proposed (Phys. Rev. Lett. 110 (2013) 064105) continuous nonlinear Schrodinger system with parity-time symmetric Kerr nonlinearity. We have found that the continuous nonlinear Schrodinger system with PT-symmetric nonlinearity also admits Peregrine Soliton solution. Motivated by the fact that Peregrine solitons are regarded as prototypical solutions of rogue waves, we have studied Peregrine rogue wave dynamics in the c-PTNLSE model. Upon numerical computation, we observe the appearance of low-intense Kuznetsov-Ma (KM) soliton trains in the absence of transverse shift (unbroken PT-symmetry) and well-localized high-intense Peregrine Rogue waves in the presence of transverse shift (broken PT-symmetry) in a definite parametric regime.
Form:EZFeed Policy | Open Energy Information
Help Apps Datasets Community Login | Sign Up Search Form Edit History Form:EZFeed Policy Jump to: navigation, search This is the 'EZFeed Policy' form. To add a page with this...
CERAMIC WASTE FORM DATA PACKAGE
Amoroso, J.; Marra, J.
2014-06-13
The purpose of this data package is to provide information about simulated crystalline waste forms that can be used to select an appropriate composition for a Cold Crucible Induction Melter (CCIM) proof of principle demonstration. Melt processing, viscosity, electrical conductivity, and thermal analysis information was collected to assess the ability of two potential candidate ceramic compositions to be processed in the Idaho National Laboratory (INL) CCIM and to guide processing parameters for the CCIM operation. Given uncertainties in the CCIM capabilities to reach certain temperatures throughout the system, one waste form designated 'Fe-MP' was designed towards enabling processing and another, designated 'CAF-5%TM-MP' was designed towards optimized microstructure. Melt processing studies confirmed both compositions could be poured from a crucible at 1600{degrees}C although the CAF-5%TM-MP composition froze before pouring was complete due to rapid crystallization (upon cooling). X-ray diffraction measurements confirmed the crystalline nature and phase assemblages of the compositions. The kinetics of melting and crystallization appeared to vary significantly between the compositions. Impedance spectroscopy results indicated the electrical conductivity is acceptable with respect to processing in the CCIM. The success of processing either ceramic composition will depend on the thermal profiles throughout the CCIM. In particular, the working temperature of the pour spout relative to the bulk melter which can approach 1700{degrees}C. The Fe-MP composition is recommended to demonstrate proof of principle for crystalline simulated waste forms considering the current configuration of INL's CCIM. If proposed modifications to the CCIM can maintain a nominal temperature of 1600{degrees}C throughout the melter, drain, and pour spout, then the CAF-5%TM-MP composition should be considered for a proof of principle demonstration.
Studies in nonlinear problems of energy
Matkowsky, B.J.
1992-07-01
Emphasis has been on combustion and flame propagation. The research program was on modeling, analysis and computation of combustion phenomena, with emphasis on transition from laminar to turbulent combustion. Nonlinear dynamics and pattern formation were investigated in the transition. Stability of combustion waves, and transitions to complex waves are described. Combustion waves possess large activation energies, so that chemical reactions are significant only in thin layers, or reaction zones. In limit of infinite activation energy, the zones shrink to moving surfaces, (fronts) which must be found during the analysis, so that (moving free boundary problems). The studies are carried out for limiting case with fronts, while the numerical studies are carried out for finite, though large, activation energy. Accurate resolution of the solution in the reaction zones is essential, otherwise false predictions of dynamics are possible. Since the the reaction zones move, adaptive pseudo-spectral methods were developed. The approach is based on a synergism of analytical and computational methods. The numerical computations build on and extend the analytical information. Furthermore, analytical solutions serve as benchmarks for testing the accuracy of the computation. Finally, ideas from analysis (singular perturbation theory) have induced new approaches to computations. The computational results suggest new analysis to be considered. Among the recent interesting results, was spatio-temporal chaos in combustion. One goal is extension of the adaptive pseudo-spectral methods to adaptive domain decomposition methods. Efforts have begun to develop such methods for problems with multiple reaction zones, corresponding to problems with more complex, and more realistic chemistry. Other topics included stochastics, oscillators, Rysteretic Josephson junctions, DC SQUID, Markov jumps, laser with saturable absorber, chemical physics, Brownian movement, combustion synthesis, etc.
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D Lynden-Bell
2002-03-27
It is argued that jet modelers have given insufficient study to the natural magneto-static configurations of field wound up in the presence of a confining general pressure. Such fields form towers whose height grows with each twist at a velocity comparable to the circular velocity of the accretion disk that turns them. A discussion of the generation of such towers is preceded by a brief history of the idea that quasars, active galaxies, and galactic nuclei contain giant black holes with accretion disks.
Chevron, GE form Technology Alliance
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Forms | Princeton Plasma Physics Lab
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Gasoline and Diesel Fuel Update (EIA)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantity of Natural GasAdjustments (Billion Cubic Feet) Wyoming Dry Natural Gas ReservesAlabama Alabama ProfileDistrictD (2001)U. S.FORM