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Doubly Resonant Bragg Simultons via Second-Harmonic Generation

Claudio ContiDipartimento di Ingegneria Elettronica, Terza University of Rome, Via della Vasca Navale 84, 00146 Roma, ItalyS. TrilloFondazione Ugo Bordoni, Via B. Castiglione 59, 00142 Roma, ItalyGaetano AssantoDipartimento di Ingegneria Elettronica, Terza University of Rome, Via della Vasca Navale 84, 00146 Roma, Italy
1997en
ABI

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We predict that the combined effect of quadratic nonlinearity and dispersion induced by a periodic variation of the linear susceptibility can give rise to simultaneous localization of counterpropagating waves at different carrier frequencies, in the form of two envelope solitary waves (i.e., gap or Bragg resonance simultons). Our predictions stemming from an analytical approach are confirmed numerically with finite boundary conditions in a variety of qualitatively different situations.

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