Shape derivative of the volume integral operator in electromagnetic scattering by homogeneous bodies |
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| Authors: | Hamdi Sakly |
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| Affiliation: | Department of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Jarzouna, Tunisia |
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| Abstract: | We study the shape derivative of the strongly singular volume integral operator that describes time‐harmonic electromagnetic scattering from homogeneous medium. We show the existence and a representation of the derivative, and we deduce a characterization of the shape derivative of the solution to the diffraction problem as a solution to a volume integral equation of the second kind. |
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| Keywords: | Maxwell's equations scattering theory shape derivative volume integral equation |
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