Optical Kerr Spatio-Temporal Dark-Lump Dynamics of Hydrodynamic Origin

TL;DR

This paper predicts and analytically derives a new family of spatio-temporal dark lump solitary waves in optical Kerr media, originating from hydrodynamic models, with potential for controlling multidimensional optical wave phenomena.

Contribution

It introduces a novel family of dark lump solutions in the (2+1)D nonlinear Schrödinger equation, linking optical wave dynamics to hydrodynamic soliton solutions.

Findings

Analytical prediction of dark lump solutions in optical media.

Derivation from hydrodynamic soliton solutions.

Potential for controlling multidimensional optical waves.

Abstract

There is considerable fundamental and applicative interest in obtaining non-diffractive and non-dispersive spatio-temporal localized wave packets propagating in optical cubic nonlinear or Kerr media. Here, we analytically predict the existence of a novel family of spatio-temporal dark lump solitary wave solutions of the (2+1)D nonlinear Schr\"odinger equation. Dark lumps represent multi-dimensional holes of light on a continuous wave background. We analytically derive the dark lumps from the hydrodynamic exact soliton solutions of the (2+1)D shallow water Kadomtsev-Petviashvili model, inheriting their complex interaction properties. This finding opens a novel path for the excitation and control of optical multidimensional extreme wave phenomena of hydrodynamic footprint.