Electromagnetic plane wave scattering by a system of two parallel conducting prolate spheroids

Rotational-translational addition theorems for spheroidal vector wave functions

“…The integration of the vector wave equation in terms of vector wave functions has found a direct and extensive application in studies on electromagnetic scattering and radiation by canonical objects such as spheres [7,8] and cylinders [7] and by more complicated ones such as spheroids [9][10][11][12][13][14][15][16][17][18], 3. Theorems converting spheroidal vector wave functions into spherical ones and conversely.…”

A Spheroidal Vector Wave Function Analysis of Field and SAR Distributions in a Dielectric Prolate Spheroidal Human Head Model

“…The EM waves scattered by a single spheroid or two spheroids have been well-investigated and some analytic solutions have been obtained to date [16][17][18][19]. There are, however, only few reports on the analysis of EM field distributions inside the human head based on the prolate spheroidal model, basically due to two difficulties in analyzing the EM fields inside and outside the spheroids.…”

Rotational-translational addition theorems for scalar spheroidal wave functions

“…','7, due to Dalmas and Deleuil [6, Sec. 2;7], These theorems have found application in the problem of electromagnetic scattering of a plane wave from a pair of perfectly conducting prolate spheroids whose major axes are in parallel alignment [6,8,9]. Moreover, very thin conducting spheroids can be used to model thin-wire dipole antennas, and translational addition…”