A New Vortex Solution for Two-Component Nonlinear Schroedinger Equation in Anisotropic Optical Media
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.
Cite
@article{arxiv.cond-mat/9910515,
title = {A New Vortex Solution for Two-Component Nonlinear Schroedinger Equation in Anisotropic Optical Media},
author = {Hiroshi Kuratsuji and Shouhei Kakigi and Hiroyuki Yabu},
journal= {arXiv preprint arXiv:cond-mat/9910515},
year = {2007}
}
Comments
6 pages, 2 EPS figures, uses Revtex and epsfig.sty