The purpose of this paper is to present a systematic and integrated theory for the scattering of an electromagnetic wave by a multi-layered scatterer. We construct the integral representation for the electric field and we express the normalized scattering amplitude in a closed form. Representation for the scattering cross-section is also provided. Using low-frequency techniques the scattering problem is reduced to an iterative sequence of potential problems which can be solved successively in terms of expansions in appropriate harmonic functions. Expansions in low frequencies are given for the total field and the normalized scattering amplitude. We evaluate the leading term of the normalized scattering amplitude and the scattering cross-section in the low-frequency region.
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Christodoulos Athanasiadis (1991) studied this question.
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