Abstract
In all the foregoing chapters, we have tacitly assumed that the scalar Helmholtz and the vector wave equation are the partial differential equations underlying the scattering problems. In Sect. 7.2 we will provide the justification for this assumption for electromagnetic wave scattering. Starting from Maxwell’s equations, we will discuss the physical constraints resulting in these partial differential equations. This includes a short course in conventional Mie Theory as formulated by Debye. By use of definition (5.79) we will moreover derive a boundary integral equation to calculate the induced surface current at the surface of a three-dimensional, ideal metallic scatterer. This boundary integral equation is already known in the literature. As already mentioned in Sect. 5.4, this equation avoids the strong singularity of the free-space Green function appearing in (5.105) if the dyadic case is considered. It is demonstrated later how one can transfer this solution scheme to calculate the corresponding Green functions
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© 2014 Springer-Verlag Berlin Heidelberg
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Rother, T., Kahnert, M. (2014). Physical Basics of Electromagnetic Wave Scattering. In: Electromagnetic Wave Scattering on Nonspherical Particles. Springer Series in Optical Sciences, vol 145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36745-8_7
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DOI: https://doi.org/10.1007/978-3-642-36745-8_7
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-36745-8
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