Nonparaxial spatial optical solitons with nonlocality nonlinearity

TL;DR

This paper presents analytical and numerical studies of one-dimensional Helmholtz solitons with nonlocal nonlinearity, revealing how nonlocality and nonparaxiality influence soliton width and stability.

Contribution

It provides exact analytical solutions for nonlocal Helmholtz solitons and explores how nonlocality and nonparaxiality affect their properties and stability.

Findings

Degree of nonlocality affects soliton width

Nonlocality does not influence soliton stability

Nonparaxiality influences stability but not width

Abstract

We investigate one-dimensional Helmholtz solitons with nonlocal nonlinearity. We show an exact analytical solution to the nonlocal nonlinear nonparaxial propagation equation in the cases of high and weak nonlocality. We also numerically find that the degree of nonlocality can affect the width of nonlocal Helmholtz soliton beams, but have no effect on their stability. Contrarily, nonparaxiality can affect their stability, but have no effect on their width.