Hamiltonian dynamics of solitons in optical fibers

David J. Muraki*, William L. Kath

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

A nonlinear optical fiber whose dispersion relation is weakly anisotropic in polarization can cause propagating pulses to undergo a self-induced rotation of polarization. The coupling of the cross-polarized optical fields is described by a pair of nonlinear Schrödinger equations and is studied as a Hamiltonian perturbation to an exactly integrable system with soliton solutions. Simplified descriptions involving low-dimensional dynamical systems for near-soliton evolutions are derived which explain the basic rotation of polarization and indicate a possible instability via interaction with the spatial pulse structure. The results of these dynamical approximations are compared with numerical computations for the full wave equations.

Original languageEnglish (US)
Pages (from-to)53-64
Number of pages12
JournalPhysica D: Nonlinear Phenomena
Volume48
Issue number1
DOIs
StatePublished - Feb 1991

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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