Lescarret, Vincent; Schneider, Guido Diffractive optics with harmonic radiation in 2d nonlinear photonic crystal waveguide. (English) Zbl 1253.35173 Z. Angew. Math. Phys. 63, No. 3, 401-427 (2012). The paper analyzes the nonlinear light propagation through a one-dimensional nonlinear photonic crystal with a defect. Starting from the system of Maxwell’s equations and using the WKB approximation for the description of emitted radiation, the paper presents a rigorous derivation of the soliton solution with the radiation correction to it in the form of the third-hamonic wave. Reviewer: Boris A. Malomed (Tel Aviv) Cited in 3 Documents MSC: 35Q60 PDEs in connection with optics and electromagnetic theory 35C08 Soliton solutions 78A05 Geometric optics 34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations Keywords:soliton; third-harmonic generation; WKB approximation PDFBibTeX XMLCite \textit{V. Lescarret} and \textit{G. Schneider}, Z. Angew. Math. 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