Families of solitons in Bragg supergratings

Boris A. Malomed, Thomas Wagenknecht, Kazuyuki Yagasaki

Research output: Contribution to journalArticlepeer-review

Abstract

We study fundamental optical gap solitons in the model of a fiber Bragg grating (BG), which is subjected to a periodic modulation of the local reflectivity, giving rise to a supergrating. In addition, the local refractive index is also periodically modulated with the same period. It is known that the supergrating opens an infinite system of new bandgaps in the BG's spectrum. We use a combination of analytical and computational methods to show that each emerging bandgap is filled with gap solitons (GSs), including asymmetric ones and bound states of the GSs. In particular, bifurcations of the GSs created by the supergrating are studied in terms of a geometric analysis.

Original languageEnglish
Pages (from-to)1043-1058
Number of pages16
JournalPhysica D: Nonlinear Phenomena
Volume241
Issue number11
DOIs
StatePublished - 1 Jun 2012

Keywords

  • Averaging method
  • Gap soliton
  • Homoclinic orbit
  • Melnikov method
  • Supergrating

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