A New Vortex Solution for Two-Component Nonlinear Schroedinger Equation in Anisotropic Optical Media

TL;DR

This paper introduces a novel optical vortex solution within the two-component nonlinear Schrödinger equation framework, specifically in anisotropic media, highlighting its relation to spin textures caused by dielectric tensor anisotropy.

Contribution

It presents an explicit vortex solution for the two-component nonlinear Schrödinger equation in anisotropic optical media, incorporating effects like birefringence, Faraday, and Cotton-Mouton effects.

Findings

Derived explicit vortex solution for anisotropic media

Analyzed vortex evolution along propagation direction

Linked vortex properties to dielectric tensor anisotropy

Abstract

A theoretical study is given of a new type of optical vortex in nonlinear anisotropic media. This is realized as a special solution of the two-component non-linear Schroedinger equation. The vortex is inherent in the spin texture that is caused by an anisotropy of dielectric tensor, for which a role of spin is played by the Stokes vector (or pseudo-spin). By using the effective Lagrangian for the pseudo-spin field, we give an explicit form for the vortex solution for the case of two types of optical anisotropy; that is, nonlinear counterpart of birefringence giving rise to the Faraday and Cotton-Mouton effects. We also examine the evolution equation of the new vortex with respect to the propagation direction.