The direct electromagnetic scattering problem by a mixed impedance screen in chiral media |
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Authors: | CE Athanasiadis KI Skourogiannis |
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Institution: | Department of Mathematics , University of Athens , Athens 157 84 , Greece |
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Abstract: | In this article solvability results for the direct electromagnetic scattering problem for a mixed perfectly conducting-impedance screen in a chiral environment is studied. In particular, incident time-harmonic electromagnetic waves in a chiral medium upon a partially coated open surface Γ (the ‘screen’), that satisfies an impedance boundary condition on one side and a perfectly conducting boundary condition on the other side, are considered. We introduce the Beltrami fields, appropriate boundary integral relations for these fields are proved and via them a uniqueness result is established. A variational method in a suitable functional space setting is considered and using a Calderon type operator for the chiral case, existence for the scattering problem is established. |
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Keywords: | chiral media Beltrami fields mixed impedance boundary conditions |
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