Vector-soliton collision dynamics in nonlinear optical fibers

Document Type

Article

Publication Date

5-1-2005

Abstract

We consider the interactions of two identical, orthogonally polarized vector solitons in a nonlinear optical fiber with two polarization directions, described by a coupled pair of nonlinear Schrödinger equations. We study a low-dimensional model system of Hamiltonian ordinary differential equations (ODEs) derived by Ueda and Kath and also studied by Tan and Yang. We derive a further simplified model which has similar dynamics but is more amenable to analysis. Sufficiently fast solitons move by each other without much interaction, but below a critical velocity the solitons may be captured. In certain bands of initial velocities the solitons are initially captured, but separate after passing each other twice, a phenomenon known as the two-bounce or two-pass resonance. We derive an analytic formula for the critical velocity. Using matched asymptotic expansions for separatrix crossing, we determine the location of these "resonance windows.". Numerical simulations of the ODE models show they compare quite well with the asymptotic theory. © 2005 The American Physical Society.

Identifier

26944494063 (Scopus)

Publication Title

Physical Review E Statistical Nonlinear and Soft Matter Physics

External Full Text Location

https://doi.org/10.1103/PhysRevE.71.056605

e-ISSN

15502376

ISSN

15393755

Issue

5

Volume

71

This document is currently not available here.

Share

COinS