Scattering coefficients for a multilayered sphere: analytic expressions and algorithms

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Abstract
A calculational procedure for obtaining the complete set of scattering coefficients for a multilayered sphere is proposed. The procedure is based on the utilization of a prescription which relates the coefficients for an r-layered sphere to those for an (r − 1)-layered sphere. The prescription is derived directly from the determinantal form of the scattering amplitudes for a multilayered sphere. The complete set of coefficients considered includes the coefficients required to describe the fields within the various regions of the multilayered sphere.