Multiple scattering of electromagnetic waves from two prolate spheroids with perpendicular axes of revolution

Abstract

A study of multiple scattering from two perfectly conducting prolate spheroids with perpendicular axes of revolution is performed, and new numerical results are given. This study is carried out with rotational‐translational addition theorems established by the authors and R. H. MacPhie. In addition, rotational‐translational addition theorems for the spheroidal vector wave functions Mr and Nr with a sine or cosine φ dependence necessary for this study are also established. The propagation vector of the incident plane wave is in the negative y direction, and consequently, two new expressions of the incident field in terms of series expansions of spherical and spheroidal vector wave functions with respect to the vector r are presented. Finally, multiple scattering polar patterns are shown for two identical prolate spheroids spaced 3.5 times their semimajor axis and this for two values of c, namely c = 2 and c = 5.

Scattering of Gaussian Beam by a Spheroidal Particle

“…(31) and (32) for the unknown coefficients α mn , β mn , δ mn , χ mn , γ mn , τ mn , δ mn , χ mn , γ mn , τ mn , δ (1) mn and γ (1) mn , and the other relations between them can be generated by using a transformation from spheroidal vector wave functions to spherical ones, which is of the form [26…”