Optical solitons in fiber grating in which the dielectric constant varies periodically along it, are investigated. It is proved that the envelope of the Bloch wave obeys the nonlinear Schrödinger equation. As an application, gap solitons in a super-lattice are discussed. The concept and method presented in this paper are useful not only for explaining recently observed Bragg grating soliton but for analyzing a large class of nonlinear periodic systems.
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Iizuka et al. (1997) studied this question.
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