Optical Spin Vortex in Nonlinear Anisotropic Media

TL;DR

This paper theoretically introduces an optical spin vortex in nonlinear anisotropic media, characterized by a unique spin texture derived from the anisotropic dielectric tensor, expanding understanding of optical vortex phenomena.

Contribution

It presents the concept of an optical spin vortex as a new solution to the two-component nonlinear Schrödinger equation, highlighting its distinct spin texture and dynamic evolution.

Findings

Existence of optical spin vortex linked to dielectric anisotropy

Derivation of evolution equations for spin vortex motion

Distinction from conventional phase-based vortices

Abstract

A theoretical study is given of a new type of optical vortex in nonlinear anisotropic media. This is called an ``optical spin vortex'', which is realized as a special solution of the two-component non-linear Schr\"{o}dinger equation. The existence of spin vortex is inherent in the spin texture that is caused by the anisotropy of dielectric tensor, where a role of spin is played by the Stokes vector. By introducing the effective Lagrangian governing the non-linear Schr\"{o}dinger equation, we derive the evolution equation for the motion of spin vortex, which exhibits a clear distinction from the conventional singular vortex inherent in the phase function that is described by the single component complex field.