Journal
JOURNAL OF ENGINEERING MATHEMATICS
Volume 62, Issue 3, Pages 289-302Publisher
SPRINGER
DOI: 10.1007/s10665-008-9218-2
Keywords
dielectric objects; electromagnetic scattering; integral equations; well-posedness
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An analysis of the mapping properties of three commonly used domain integro-differential operators for electromagnetic scattering by an inhomogeneous dielectric object embedded in a homogeneous background is presented in the Laplace domain. The corresponding three integro-differential equations are shown to be equivalent and well-posed under finite-energy conditions. The analysis allows for non-smooth changes, including edges and corners, in the dielectric properties. The results are obtained via the Riesz-Fredholm theory, in combination with the Helmholtz decomposition and the Sobolev embedding theorem.
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