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Polarization mode interaction equations in optical fibers with Kerr effect

2004/11/30 by Sergey Leble, S. B. Leble, Leble, S. B. +2
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Nonlinear Photonic Systems #Optical Network Technologies #Optics (physics.optics) #physics.optics

paper · pdf · doi:10.48550/arxiv.physics/0411255

12 pages, 3 figures

openalex publication_date 2004/11/30 · arxiv created 2005/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive coupled nonlinear Schrödinger equation (CNLSE) for arbitrary polarized light propagation in a single-mode fiber. We introduce a basis of transverse eigen modes with the appropriate projecting hence solutions depend on the waveguide geometry. Considering a weak nonlinearity which is connected with Kerr effect, we give explicit expressions for nonlinear constants via integrals of Bessel functions. We compare numerical results for the nonlinear constant extracted from experimental observations of a soliton for the nonlinear Schrödinger equation (NLSE) (single-mode one). The method of projecting we use allows a direct generalization to multi-mode fiber case.

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