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

Hiroshi Kuratsuji·Shouhei Kakigi·Hiroyuki Yabu
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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.

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Hiroshi Kuratsuji, Shouhei Kakigi, Hiroyuki Yabu. 1999-11-01. A New Vortex Solution for Two-Component Nonlinear Schroedinger Equation in Anisotropic Optical Media. https://arxiv.org/abs/cond-mat/9910515

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