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Article

Krček, Jiří ; Vlček, Jaroslav ; Žídek, Arnošt
Tangential fields in optical diffraction problems. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 124-129
MSC: 35Q61, 65N38
Keywords:
optical difraction; Maxwell equation; boundary integral equations
Summary:
Optical diffraction for periodical interface belongs to relatively fewer exploited application of boundary integral equations method. Our contribution presents the formulation of diffraction problem based on vector tangential fields, for which the periodical Green function of Helmholtz equation is of key importance. There are discussed properties of obtained boundary operators with singular kernel and a numerical implementation is proposed.
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