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 (4)

• Shocks in nonlocal media
• Nonlinear shallow ocean wave soliton interactions on flat beaches
• Observation of a gradient catastrophe generating solitons
• Classification of the line-soliton solutions of KPII

Cited by in corpus (5)

• Stable high-dimensional weak-light soliton molecules and their active control
• Asymptotic Expansions and Solitons of the Camassa-Holm Nonlinear Schrodinger Equation
• Exploring the Dynamics of Nonlocal Nonlinear Waves: Analytical Insights into the Extended Kadomtsev-Petviashvili Model
• Transverse instability and dynamics of nonlocal bright solitons
• Interactions of solitary waves in the Adlam-Allen model