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An analysis of electromagnetic scattering by an arbitrarily shaped anisotropic, but homogeneous material structure utilizing combined field surface integral equation formulation is presented. Derivation of the appropriate electromagnetic potentials for the time harmonic Maxwell's equations is also undertaken. The medium in this study is characterized by its permittivity and permeability tensors, and the mathematical formulation is specialized to the two-dimensional anisotropic scatterer of arbitrary shape excited by a plane wave at normal incidence. The derived potentials along with their appropriate gauges are used to represent the fields in the medium. Subsequently, these field representations are utilized in the derivation of a set of coupled integral equations with the help of the equivalence principle. Rigorous analysis approach is developed for the two-dimensional objects, both for the TM and the TE polarizations.
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Beker et al. (1989) studied this question.
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