Shape derivative of the volume integral operator in electromagnetic scattering by homogeneous bodies
| Autor: | Hamdi Sakly |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Scattering
General Mathematics Operator (physics) 010102 general mathematics Mathematical analysis General Engineering Material derivative 01 natural sciences Volume integral 010101 applied mathematics Generalizations of the derivative Functional derivative Scattering theory 0101 mathematics Second derivative Mathematics |
| Zdroj: | Mathematical Methods in the Applied Sciences. 40:7125-7138 |
| ISSN: | 0170-4214 |
| DOI: | 10.1002/mma.4517 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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