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Diffractive optics with harmonic radiation in 2d nonlinear photonic crystal waveguide |
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| Authors: | Vincent Lescarret Guido Schneider |
| Institution: | 1. D??partement de Recherche en Electromagn??tisme, LSS, UMR8506 CNRS-SUPELEC-UPS11, 3, rue Joliot-Curie, 91192, Gif-sur-Yvette Cedex, France 2. Institut f??r Analysis, Dynamik und Modellierung, Universit?t Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany |
| 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 Schr?dinger 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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