On the domain derivative for scattering by impenetrable obstacles in chiral media |
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| Authors: | Potthast, Roland Stratis, Ioannis G. |
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| Affiliation: | 1 Institute of Numerical and Applied Mathematics, University of Göttingen, Lotzestrasse 16-18, D-37083 Göttingen, Germany 2 Department of Mathematics, University of Athens, Panepistimiopolis, GR-15784 Zographou, Athens, Greece |
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| Abstract: | For scattering of electromagnetic waves in a chiral medium bysome perfectly conducting inclusions, we study the dependenceof the scattered field on the boundary of the inclusions andshow its Fréchet differentiability in appropriate spaces.Further, we derive a characterization of the derivative as asolution to some corresponding chiral boundary value problem.Our proof contains a new approach to rigorously derive thischaracterization. |
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| Keywords: | chiral media domain derivative Fré chet differentiability. |
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