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Journal Articles Zeitschrift für Angewandte Mathematik und Physik Year : 2012

Diffractive optics with harmonic radiation in 2d nonlinear photonic crystal waveguide

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Abstract

The propagation of modulated light in a 2d nonlinear photonic waveguide is investigated in the framework of diffractive optics. It is shown that the dynamics obeys a nonlinear Schrodinger equation at leading order. We compute the first and second corrector and show that the latter may describe some dispersive radiation through the structure. We prove the validity of the approximation in the interval of existence of the leading term.
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Dates and versions

hal-00772956 , version 1 (11-01-2013)

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Vincent Lescarret, Guido Schneider. Diffractive optics with harmonic radiation in 2d nonlinear photonic crystal waveguide. Zeitschrift für Angewandte Mathematik und Physik, 2012, 63, pp.401-427. ⟨10.1007/s00033-012-0196-x⟩. ⟨hal-00772956⟩
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