Transition between inverse and direct energy cascades in multiscale optical turbulence
Abstract
Transition between inverse and direct energy cascades in multiscale optical turbulence. Multiscale turbulence naturally develops and plays an important role in many fluid, gas, and plasma phenomena. Statistical models of multiscale turbulence usually employ Kolmogorov hypotheses of spectral locality of interactions (meaning that interactions primarily occur between pulsations of comparable scales) and scaleinvariance of turbulent pulsations. However, optical turbulence described by the nonlinear Schrodinger equation exhibits breaking of both the Kolmogorov locality and scaleinvariance. A weaker form of spectral locality that holds for multiscale optical turbulence enables a derivation of simplified evolution equations that reduce the problem to a single scale modeling. We present the derivation of these equations for Kerr media with random inhomogeneities. Then, we find the analytical solution that exhibits a transition between inverse and direct energy cascades in optical turbulence.
 Authors:

 Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
 Publication Date:
 Research Org.:
 Princeton Univ., NJ (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA). Stewardship Science Academic Alliances Program
 OSTI Identifier:
 1424396
 Alternate Identifier(s):
 OSTI ID: 1423918; OSTI ID: 1424389; OSTI ID: 1424390
 Grant/Contract Number:
 NA0002948
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. E
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 24700045
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Turbulence theory; RichardsonKolmogorovObukhov cascades; Optical Turbulence; Weak Turbulence; Propagation of powerful laser pulses in Kerr media with random inhomogeneities; Nonlinear Schrodinger equation; BoseEinstein condensation; Random lasers; Photonic crystals; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 79 ASTRONOMY AND ASTROPHYSICS; Turbulence; Optical turbulence; Weak turbulence; Nonlinear Schrodinger equation, Laserplasma interactions; Powerful lasers; Highenergydensity plasmas; Stochastic processes
Citation Formats
Malkin, V. M., and Fisch, N. J. Transition between inverse and direct energy cascades in multiscale optical turbulence. United States: N. p., 2018.
Web. doi:10.1103/PhysRevE.97.032202.
Malkin, V. M., & Fisch, N. J. Transition between inverse and direct energy cascades in multiscale optical turbulence. United States. https://doi.org/10.1103/PhysRevE.97.032202
Malkin, V. M., and Fisch, N. J. Tue .
"Transition between inverse and direct energy cascades in multiscale optical turbulence". United States. https://doi.org/10.1103/PhysRevE.97.032202. https://www.osti.gov/servlets/purl/1424396.
@article{osti_1424396,
title = {Transition between inverse and direct energy cascades in multiscale optical turbulence},
author = {Malkin, V. M. and Fisch, N. J.},
abstractNote = {Transition between inverse and direct energy cascades in multiscale optical turbulence. Multiscale turbulence naturally develops and plays an important role in many fluid, gas, and plasma phenomena. Statistical models of multiscale turbulence usually employ Kolmogorov hypotheses of spectral locality of interactions (meaning that interactions primarily occur between pulsations of comparable scales) and scaleinvariance of turbulent pulsations. However, optical turbulence described by the nonlinear Schrodinger equation exhibits breaking of both the Kolmogorov locality and scaleinvariance. A weaker form of spectral locality that holds for multiscale optical turbulence enables a derivation of simplified evolution equations that reduce the problem to a single scale modeling. We present the derivation of these equations for Kerr media with random inhomogeneities. Then, we find the analytical solution that exhibits a transition between inverse and direct energy cascades in optical turbulence.},
doi = {10.1103/PhysRevE.97.032202},
journal = {Physical Review. E},
number = 3,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Selffocusing of short intense pulses in plasmas
journal, January 1987
 Sun, GuoZheng; Ott, Edward; Lee, Y. C.
 Physics of Fluids, Vol. 30, Issue 2
Transport and Anderson localization in disordered twodimensional photonic lattices
journal, March 2007
 Schwartz, Tal; Bartal, Guy; Fishman, Shmuel
 Nature, Vol. 446, Issue 7131
TwoDimensional Turbulence
journal, January 2012
 Boffetta, Guido; Ecke, Robert E.
 Annual Review of Fluid Mechanics, Vol. 44, Issue 1
Random Phasing of HighPower Lasers for Uniform Target Acceleration and PlasmaInstability Suppression
journal, September 1984
 Kato, Y.; Mima, K.; Miyanaga, N.
 Physical Review Letters, Vol. 53, Issue 11
On the analytical theory for stationary selffocusing of radiation
journal, April 1993
 Malkin, V. M.
 Physica D: Nonlinear Phenomena, Vol. 64, Issue 13
Statistical description of nonlinear wave fields
journal, October 1975
 Zakharov, V. E.; L'vov, V. S.
 Radiophysics and Quantum Electronics, Vol. 18, Issue 10
Kolmogorov and Nonstationary Spectra of Optical Turbulence
journal, June 1996
 Malkin, Vladimir M.
 Physical Review Letters, Vol. 76, Issue 24
Use of induced spatial incoherence for uniform illumination of laser fusion targets
journal, June 1983
 Lehmberg, R. H.; Obenschain, S. P.
 Optics Communications, Vol. 46, Issue 1
Inertial Ranges in TwoDimensional Turbulence
journal, January 1967
 Kraichnan, Robert H.
 Physics of Fluids, Vol. 10, Issue 7
Kolmogorov Spectra of Turbulence I: Wave Turbulence
book, January 1992
 Zakharov, Vladimir E.; L’vov, Victor S.; Falkovich, Gregory
 Springer Series in Nonlinear Dynamics
Wave kinetics of random fibre lasers
journal, February 2015
 Churkin, D. V.; Kolokolov, I. V.; Podivilov, E. V.
 Nature Communications, Vol. 6, Issue 1
Random distributed feedback fibre laser
journal, February 2010
 Turitsyn, Sergei K.; Babin, Sergey A.; ElTaher, Atalla E.
 Nature Photonics, Vol. 4, Issue 4
Inverse Energy Cascade in Forced TwoDimensional Quantum Turbulence
journal, March 2013
 Reeves, Matthew T.; Billam, Thomas P.; Anderson, Brian P.
 Physical Review Letters, Vol. 110, Issue 10
Critical transitions in thin layer turbulence
journal, June 2017
 Benavides, Santiago Jose; Alexakis, Alexandros
 Journal of Fluid Mechanics, Vol. 822
Improved laser‐beam uniformity using the angular dispersion of frequency‐modulated light
journal, October 1989
 Skupsky, S.; Short, R. W.; Kessler, T.
 Journal of Applied Physics, Vol. 66, Issue 8
The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers
journal, July 1991
 Kolmogorov, A. N.
 Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 434, Issue 1890
SelfModulation and SelfFocusing of Electromagnetic Waves in Plasmas
journal, July 1974
 Max, Claire Ellen; Arons, Jonathan; Langdon, A. Bruce
 Physical Review Letters, Vol. 33, Issue 4
Exceeding the leading spike intensity and fluence limits in backward Raman amplifiers
journal, December 2014
 Malkin, V. M.; Toroker, Z.; Fisch, N. J.
 Physical Review E, Vol. 90, Issue 6
Dissipation of Energy in the Locally Isotropic Turbulence
journal, July 1991
 Kolmogorov, A. N.
 Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 434, Issue 1890
Cascades in nonlocal turbulence
journal, April 2015
 Falkovich, Gregory; Vladimirova, Natalia
 Physical Review E, Vol. 91, Issue 4
Fast Compression of Laser Beams to Highly Overcritical Powers
journal, May 1999
 Malkin, V. M.; Shvets, G.; Fisch, N. J.
 Physical Review Letters, Vol. 82, Issue 22
The physics and applications of random lasers
journal, May 2008
 Wiersma, Diederik S.
 Nature Physics, Vol. 4, Issue 5
Extended Propagation of Powerful Laser Pulses in Focusing Kerr Media
journal, September 2016
 Malkin, V. M.; Fisch, N. J.
 Physical Review Letters, Vol. 117, Issue 13
Observation of the kinetic condensation of classical waves
journal, April 2012
 Sun, Can; Jia, Shu; Barsi, Christopher
 Nature Physics, Vol. 8, Issue 6
Beyond nonlinear saturation of backward Raman amplifiers
journal, June 2016
 Barth, Ido; Toroker, Zeev; Balakin, Alexey A.
 Physical Review E, Vol. 93, Issue 6
Discontinuous Transition from Direct to Inverse Cascade in ThreeDimensional Turbulence
journal, April 2017
 Sahoo, Ganapati; Alexakis, Alexandros; Biferale, Luca
 Physical Review Letters, Vol. 118, Issue 16
Twodimensional turbulence
journal, May 1980
 Kraichnan, R. H.; Montgomery, D.
 Reports on Progress in Physics, Vol. 43, Issue 5
Beyond nonlinear saturation of backward Raman amplifiers
text, January 2016
 Barth, Ido; Toroker, Zeev; Balakin, Alexey A.
 arXiv
Critical Transitions in Thin Layer Turbulence
text, January 2017
 Benavides, Santiago Jose; Alexakis, Alexandros
 arXiv
Discontinuous transition from direct to inverse cascade in threedimensional turbulence
text, January 2017
 Sahoo, Ganapati; Alexakis, Alexandros; Biferale, Luca
 arXiv
Works referencing / citing this record:
Wave condensation with weak disorder versus beam selfcleaning in multimode fibers
journal, November 2019
 Garnier, J.; Fusaro, A.; Baudin, K.
 Physical Review A, Vol. 100, Issue 5
Wave condensation with weak disorder versus beam selfcleaning in multimode fibers
text, January 2020
 Garnier, J.; Fusaro, A.; Baudin, K.
 arXiv
Towards Megajoule Xray Lasers via Relativistic 4Photon Cascade in Plasma
text, January 2019
 Malkin, V. M.; Fisch, N. J.
 arXiv
Figures / Tables found in this record: