Semi-local one-dimensional optical wave turbulence

TL;DR

This paper investigates one-dimensional optical wave turbulence in nonlocal media, deriving a kinetic equation and revealing how nonlocality and solitonic structures influence turbulent behavior.

Contribution

It introduces a semi-local approximation to derive a wave kinetic equation for 1D optical turbulence in nonlocal media, highlighting new turbulence phenomena.

Findings

Derived a reduced wave kinetic equation for nonlocal media

Demonstrated turbulence behavior depends on spatial nonlocality

Showed incoherent solitonic structures significantly affect turbulence

Abstract

We study one-dimensional optical wave turbulence described by the 1D Schr{\"o}dinger-Helmholtz model for nonlinear light propagation in spatially nonlocal nonlinear optical media such as nematic liquid crystals. By exploiting the specific structure of the nonlocal response, we derive a reduced wave kinetic equation under a semi-local approximation that permits the study of weak-wave turbulent cascades. We explore the realisability of the wave turbulence predictions and demonstrate new turbulent behaviour related to spatial nonlocality. Moreover, we show strong dependence of the wave turbulence to the possible presence of incoherent solitonic structures.