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 scale-invariance of turbulent pulsations. However, optical turbulence described by the nonlinear Schrodinger equation exhibits breaking of both the Kolmogorov locality and scale-invariance. A weaker form of spectral locality that holds for multi-scale 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 2470-0045
- 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; Richardson-Kolmogorov-Obukhov cascades; Optical Turbulence; Weak Turbulence; Propagation of powerful laser pulses in Kerr media with random inhomogeneities; Nonlinear Schrodinger equation; Bose-Einstein condensation; Random lasers; Photonic crystals; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 79 ASTRONOMY AND ASTROPHYSICS; Turbulence; Optical turbulence; Weak turbulence; Nonlinear Schrodinger equation, Laser-plasma interactions; Powerful lasers; High-energy-density 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 scale-invariance of turbulent pulsations. However, optical turbulence described by the nonlinear Schrodinger equation exhibits breaking of both the Kolmogorov locality and scale-invariance. A weaker form of spectral locality that holds for multi-scale 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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 1 work
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
Figure 1: The normalized transverse temperature of photons y(x) - dashed line, and spectral flux of transverse energy $\Im$ (x) - solid line around the spectrum upper boundary x = $k_⊥$/$k_{⊥M}$ ∼ 1 at early evolution stage.
All figures and tables
(3 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Self-focusing of short intense pulses in plasmas
journal, January 1987
- Sun, Guo-Zheng; Ott, Edward; Lee, Y. C.
- Physics of Fluids, Vol. 30, Issue 2
Transport and Anderson localization in disordered two-dimensional photonic lattices
journal, March 2007
- Schwartz, Tal; Bartal, Guy; Fishman, Shmuel
- Nature, Vol. 446, Issue 7131
Two-Dimensional Turbulence
journal, January 2012
- Boffetta, Guido; Ecke, Robert E.
- Annual Review of Fluid Mechanics, Vol. 44, Issue 1
Random Phasing of High-Power Lasers for Uniform Target Acceleration and Plasma-Instability Suppression
journal, September 1984
- Kato, Y.; Mima, K.; Miyanaga, N.
- Physical Review Letters, Vol. 53, Issue 11
On the analytical theory for stationary self-focusing of radiation
journal, April 1993
- Malkin, V. M.
- Physica D: Nonlinear Phenomena, Vol. 64, Issue 1-3
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 Two-Dimensional Turbulence
journal, January 1967
- Kraichnan, Robert H.
- Physics of Fluids, Vol. 10, Issue 7
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.; El-Taher, Atalla E.
- Nature Photonics, Vol. 4, Issue 4
Inverse Energy Cascade in Forced Two-Dimensional 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
Self-Modulation and Self-Focusing 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 Three-Dimensional Turbulence
journal, April 2017
- Sahoo, Ganapati; Alexakis, Alexandros; Biferale, Luca
- Physical Review Letters, Vol. 118, Issue 16
Two-dimensional turbulence
journal, May 1980
- Kraichnan, R. H.; Montgomery, D.
- Reports on Progress in Physics, Vol. 43, Issue 5
Works referencing / citing this record:
Wave condensation with weak disorder versus beam self-cleaning in multimode fibers
journal, November 2019
- Garnier, J.; Fusaro, A.; Baudin, K.
- Physical Review A, Vol. 100, Issue 5
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.