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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2013 Volume 25, Number 6, Pages 41–53 (Mi mm3372)

This article is cited in 3 papers

Joint application of the incomplete Galerkin’s method and scattering matrix method for multilayer diffraction grating modeling

A. A. Petukhov

Lomonosov Moscow State University, Faculty of Physics, Department of Mathematics

Abstract: A mathematical model of wave diffraction on a one-dimensional multilayer periodic grating is considered. A rigorous mathematical statement is given, where the partial radiations conditions are used for domain confinement. A complete formulation of the numerical algorithm based on a combination of the incomplete Galerkin's method and scattering matrix method is presented. The rate of convergence and computational complexity of this algorithm are analyzed and the advisable values of computational parameters are presented.

Keywords: multilayer diffraction grating, incomplete Galerkin’s method, scattering matrix method.

UDC: 517.538.72, 541.421

Received: 18.06.2012


 English version:
Mathematical Models and Computer Simulations, 2014, 6:1, 92–100

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