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Gap solitons in Bragg gratings with a harmonic superlattice

2006/05/05 by Kazuyuki Yagasaki, K. Yagasaki, I. M. Merhasin +7
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #Advanced Fiber Optic Sensors #Nonlinear Photonic Systems #nlin.PS

paper · pdf · doi:10.1209/epl/i2005-10593-0

7 pages, 3 figures, submitted to EPL

arxiv created 2006/05/05 · openalex publication_date 2006/05/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Solitons are studied in a model of a fiber Bragg grating (BG) whose local reflectivity is subjected to periodic modulation. The superlattice opens an infinite number of new bandgaps in the model's spectrum. Averaging and numerical continuation methods show that each gap gives rise to gap solitons (GSs), including asymmetric and double-humped ones, which are not present without the superlattice. Computation of stability eigenvalues and direct simulations reveal the existence of completely stable families of fundamental GSs filling the new gaps—also at negative frequencies, where the ordinary GSs are unstable. Moving stable GSs with positive and negative effective mass are found too.

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