Krček, Jiří, Vlček, Jaroslav
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We present the formulation of optical diffraction problem on periodic interface based on vector tangential fields, for which the system of boundary integral equations is established. Obtained mathematical model is numerically solved using boundary element method and applied to sine interface profile.
Krček, Jiří, Vlček, Jaroslav, Žídek, Arnošt
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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.
Krauklis, P.V., Krauklis, A.P. (2004)
Journal of Mathematical Sciences (New York)
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Habib Ammari, Shari Moskow, Michael S. Vogelius (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we discuss the approximate reconstruction of inhomogeneities of small volume. The data used for the reconstruction consist of boundary integrals of the (observed) electromagnetic fields. The numerical algorithms discussed are based on highly accurate asymptotic formulae for the electromagnetic fields in the presence of small volume inhomogeneities.