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Trapping light with grating defects. (English) Zbl 1104.78008
Clemence, Dominic P. (ed.) et al., Mathematical studies in nonlinear wave propagation. Proceedings of the NSF-CBMS regional research conference, Greensboro, NC, USA, May 15--19, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3349-9/pbk). Contemporary Mathematics 379, 83-92 (2005).
Summary: Gap solitons are localized traveling waves that exist in Bragg grating optical fibers. We demonstrate a family of grating defects that support linear and nonlinear standing wave modes, and show numerically that these defect modes may be used to trap the energy from a gap soliton. A mechanism involving a nonlinear resonance is proposed to explain why trapping occurs in some situations and not in others. For the entire collection see [Zbl 1069.35002].

78A60Lasers, masers, optical bistability, nonlinear optics
35Q60PDEs in connection with optics and electromagnetic theory