Nonlinear localized modes existing in Bragg-reflection and internal-reflection regimes have different stability characteristics.

Abstract: We analyze the existence and stability of nonlinear localized waves in a periodic medium described by the Kronig-Penney model with a nonlinear defect. We demonstrate the existence of a novel type of stable nonlinear band-gap localized state, and also reveal a generic physical mechanism of the oscillatory wave instabilities associated with the band-gap resonances.

Keywords: gap solitons; superlattices; guides; air

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