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

1999/10/31 by Hiroshi Kuratsuji, Kuratsuji, Hiroshi, Shouhei Kakigi +3
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Orbital Angular Momentum in Optics #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/9910515

6 pages, 2 EPS figures, uses Revtex and epsfig.sty

arxiv created 1999/11/01 · openalex publication_date 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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