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Closed-form solution for electromagnetic scattering by a dielectric spheroid | IEEE Conference Publication | IEEE Xplore

Closed-form solution for electromagnetic scattering by a dielectric spheroid


Abstract:

In this work we present a closed-form solution for the electromagnetic scattering of a plane wave by a dielectric prolate or oblate spheroid. The problem is solved using ...Show More

Abstract:

In this work we present a closed-form solution for the electromagnetic scattering of a plane wave by a dielectric prolate or oblate spheroid. The problem is solved using asymptotic expansions on the spherical eigenvectors, allowing a closed-form solution which is valid for small eccentricities of the spheroid. We validate our approach by comparing with the exact solution, using the separation of variables in terms of the spheroidal eigenvectors. Both TE and TM polarizations are considered and numerical results are given for various values of the parameters.
Date of Conference: 06-11 April 2014
Date Added to IEEE Xplore: 18 September 2014
Electronic ISBN:978-8-8907-0184-9
Print ISSN: 2164-3342
Conference Location: The Hague, Netherlands

I. Introduction

The existing methods for solving this problem, as they are reported in [1], [2], [3], [4], [5], are mainly based on numerical techniques. For instance, in [1] the -matrix method was used, and in [2], [3], [4]– the numerical evaluation of the spheroidal wavefunctions was employed to solve the problem. In [5] the concept of the equiphase sphere was used by the authors to study the scattering by nonspherical dielectric particles, and they tested their technique for dielectric spheroids. However, analytical, closed-form solutions for dielectric spheroids do not exist in the literature. In the present work we construct an efficient method, based on a shape perturbation technique, to get analytical, closed-form expressions for the electromagnetic scattering by dielectric spheroids.

References

References is not available for this document.