Optical Spatial Shock Waves in Nonlocal Nonlinear Media

Abstract

Dispersive shock waves are fascinating phenomena occurring when nonlinearity overwhelms linear effects, such as dispersion and diffraction. Many features of shock waves are still under investigation, as the interplay with noninstantaneity in temporal pulses transmission and nonlocality in spatial beams propagation. Despite the rich and vast literature on nonlinear waves in optical Kerr media, spatial dispersive shock waves in nonlocal materials deserve further attention for their unconventional properties. Indeed, they have been investigated in colloidal matter, chemical physics and biophotonics, for sensing and control of extreme phenomena. Here we review the last developed theoretical models and recent optical experiments on spatial dispersive shock waves in nonlocal media. Moreover, we discuss observations in novel versatile materials relevant for soft matter and biology.

27 pages, 16 figures, review paper

References in corpus (11)

• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Shocks in nonlocal media
• Observation of a gradient catastrophe generating solitons
• Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
• Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
• The theory of optical dispersive shock waves in photorefractive media
• Light meets water in nonlocal media: Surface tension analogue in optics
• Dispersive shock waves with nonlocal nonlinearity
• The frustrated Brownian motion of nonlocal solitary waves
• Brownian soliton motion
• Irreversible Evolution of a Wave Packet in The Rigged Hilbert Space Quantum Mechanics

Cited by in corpus (8)

• Riemann problem for the light pulses in optical fibers for the generalized Chen-Lee-Liu equation
• Anisotropic Optical Shock Waves in Isotropic Media with Giant Nonlocal Nonlinearity
• Coherent soliton states hidden in phase-space and stabilized by gravitational incoherent structures
• Accessing and Manipulating Dispersive Shock Waves in a Nonlinear and Nonlocal Rydberg Medium
• Beam deflection and negative drag in a moving nonlinear medium
• Wave manipulation via delay-engineered periodic potentials
• Shock wave generation and propagation in dissipative and nonlocal nonlinear Rydberg media
• Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation