In this paper we present an efficient Matlab computation of a 3-D electromagnetic scattering problem, in which a plane wave impinges with a generic inclination onto a conducting ellipsoid of revolution. This solid is obtained by the rotation of an ellipse around one of its axes, which is also known as a spheroid. We have developed a fast and ad hoc code to solve the electromagnetic scattering problem, using spheroidal vector wave functions, which are special functions used to describe physical problems in which a prolate or oblate spheroidal reference system is considered. Numerical results are presented, both for TE and TM polarization of the incident wave, and are validated by a comparison with results obtained by a commercial electromagnetic simulator.
Tognolatti, L., Ponti, C., Santarsiero, M., Schettini, G. (2022). An Efficient Computational Technique for the Electromagnetic Scattering by Prolate Spheroids. MATHEMATICS, 10(10), 1761 [10.3390/math10101761].