Light meets water in nonlocal media: Surface tension analogue in optics

Abstract

Shallow water wave phenomena find their analogue in optics through a nonlocal nonlinear Schrödinger (NLS) model in $(2+1)$-dimensions. We identify an analogue of surface tension in optics, namely a single parameter depending on the degree of nonlocality, which changes the sign of dispersion, much like surface tension does in the shallow water wave problem. Using multiscale expansions, we reduce the NLS model to a Kadomtsev-Petviashvilli (KP) equation, which is of the KPII (KPI) type, for strong (weak) nonlocality.

References in corpus (10)

• The physics of dipolar bosonic quantum gases
• Route to nonlocality and observation of accessible solitons
• Modulational instability, solitons and beam propagation in spatially nonlocal nonlinear media
• Stable Vortex Solitons in Nonlocal Self-Focusing Nonlinear Media
• Shocks in nonlocal media
• Nonlinear shallow ocean wave soliton interactions on flat beaches
• Observation of a gradient catastrophe generating solitons
• Optical Kerr Spatio-Temporal Dark-Lump Dynamics of Hydrodynamic Origin
• Classification of the line-soliton solutions of KPII
• On the construction of the KP line-solitons and their interactions

Cited by in corpus (11)

• Stable high-dimensional weak-light soliton molecules and their active control
• Asymptotic Expansions and Solitons of the Camassa-Holm Nonlinear Schrodinger Equation
• Optical Spatial Shock Waves in Nonlocal Nonlinear Media
• Exploring the Dynamics of Nonlocal Nonlinear Waves: Analytical Insights into the Extended Kadomtsev-Petviashvili Model
• Anisotropic Optical Shock Waves in Isotropic Media with Giant Nonlocal Nonlinearity
• Rogue Waves and Periodic Solutions of a Nonlocal Nonlinear Schrödinger Model
• Hydrodynamics and two-dimensional dark lump solitons for polariton superfluids
• Dynamics of interacting dark soliton stripes
• Interactions of solitary waves in the Adlam-Allen model
• Transverse instability and dynamics of nonlocal bright solitons
• Solitary Waves of the Two-Dimensional Camassa-Holm--Nonlinear Schrödinger Equation