The theory of optical dispersive shock waves in photorefractive media

Abstract

The theory of optical dispersive shocks generated in propagation of light beams through photorefractive media is developed. Full one-dimensional analytical theory based on the Whitham modulation approach is given for the simplest case of sharp step-like initial discontinuity in a beam with one-dimensional strip-like geometry. This approach is confirmed by numerical simulations which are extended also to beams with cylindrical symmetry. The theory explains recent experiments where such dispersive shock waves have been observed.

arXiv comment26 pages

References in corpus (9)

• Dispersive, superfluid-like shock waves in nonlinear optics
• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Shocks in nonlocal media
• Resolution of a shock in hyperbolic systems modified by weak dispersion
• Unsteady undular bores in fully nonlinear shallow-water theory
• Dissipationless shock waves in repulsive Bose-Einstein condensates
• On the Whitham equations for the defocusing nonlinear Schrodinger equation with step initial data
• Asymptotic description of solitary wave trains in fully nonlinear shallow-water theory
• Polariton effect in nonlinear pulse propagation

Cited by in corpus (48)

• Quantum fluids of light
• Dispersive shock waves and modulation theory
• Undular bore theory for the Gardner equation
• Resonant radiation shed by dispersive shock waves
• Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves
• Topological Control of Extreme Waves
• Wave patterns generated by a supersonic moving body in a binary Bose-Einstein condensate
• Free-energy transition in a gas of non-interacting nonlinear wave-particles
• Shock waves in dispersive Eulerian fluids
• Suppression of transverse instabilities of dark solitons and their dispersive shock waves
• Dispersive shock waves theory for non-integrable equations
• Quantitative Analysis of Shock Wave Dynamics in a Fluid of Light
• Radiating dispersive shock waves in nonlocal optical media
• Nonlinear diffraction of light beams propagating in photorefractive media with embedded reflecting wire
• Riemann problem for the light pulses in optical fibers for the generalized Chen-Lee-Liu equation
• Riemann problem for the photon fluid: self-steepening effects
• Wave breaking and formation of dispersive shock waves in a defocusing nonlinear optical material
• Multiple hydrodynamical shocks induced by Raman effect in photonic crystal fibres
• Shock waves in thermal lensing
• Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure
• Modulation theory and resonant regimes for dispersive shock waves in nematic liquid crystals
• Theory of quasi-simple dispersive shock waves and number of solitons evolved from a nonlinear pulse
• Optical Spatial Shock Waves in Nonlocal Nonlinear Media
• Dispersive shock waves in systems with nonlocal dispersion of Benjamin-Ono type
• Dark solitons, dispersive shock waves, and transverse instabilities
• Asymptotic theory of not completely integrable soliton equations
• Solitary wave fission of a large disturbance in a viscous fluid conduit
• Analogue gravity by an optical vortex. Resonance enhancement of Hawking radiation
• Evolution of wave pulses in fully nonlinear shallow-water theory
• Dissipation-enhanced collapse singularity of a nonlocal fluid of light in a hot atomic vapor
• Formation of dispersive shock waves in evolution of a two-temperature collisionless plasma
• Stabilization of the Peregrine soliton and Kuznetsov-Ma breathers by means of nonlinearity and dispersion management
• Whitham Shocks and Resonant Dispersive Shock Waves Governed by the Higher Order Korteweg-de Vries Equation
• Anisotropic Optical Shock Waves in Isotropic Media with Giant Nonlocal Nonlinearity
• Formation of dispersive shock waves in a saturable nonlinear medium
• Quasiclassical integrability condition in AKNS scheme
• Dispersive shock waves in a one-dimensional droplet-bearing environment
• Number of solitons produced from a large initial pulse in the generalized NLS dispersive hydrodynamics theory
• Accessing and Manipulating Dispersive Shock Waves in a Nonlinear and Nonlocal Rydberg Medium
• Localization and shock waves in curved manifolds for the Gross-Pitaevskii equation
• Refraction of dispersive shock waves
• Finite width of the sonic event horizon and grey body Hawking radiation
• Shock wave generation and propagation in dissipative and nonlocal nonlinear Rydberg media
• Fate of the "vacuum point'' and of grey solitons in dispersive quantum shock waves in a one-dimensional Bose gas
• Solitary wave-mean flow interaction in strongly nonlineardispersive shallow water waves
• Statistical analysis of complex systems with nonclassical invariant measures
• Evolution of intensive light pulses in a nonlinear medium with the Raman effect
• Relativistic regimes for dispersive shock-waves in non-paraxial nonlinear optics