Transition between inverse and direct energy cascades in multiscale optical turbulence
Abstract
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. Here, 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
 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. doi: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. doi: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 = {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. Here, 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:
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