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 Schrödinger 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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Lescarret, V., Schneider, G. Diffractive optics with harmonic radiation in 2d nonlinear photonic crystal waveguide. Z. Angew. Math. Phys. 63, 401–427 (2012). https://doi.org/10.1007/s00033-012-0196-x
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DOI: https://doi.org/10.1007/s00033-012-0196-x