No abstract

No abstract

Abstract. Rotational-translational addition theorems for the scalar spheroidal wave function ^\(h; r],£, (f>), with / = 1,3,4, are deduced. This permits one to represent the mnth scalar spheroidal wave function, associated with one spheroidal coordinate system (hq\ rjq, $q,q), centered at its local origin Oq, by an addition series of spheroidal wave functions associated with a second rotated and translated system (hr; Tjr, ^r,r), centered at Or. Such theorems are necessary in the rigorous analysis of radiation and scattering by spheroids with arbitrary spacings and orientations. ','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

In this new work on multiple scattering of electromagnetic waves from two infinitely conducting prolate spheroids, we study the configuration corresponding to two scatterers centered in a plane perpendicular to their parallel axes of revolution. As in a previous paper we have pointed out the influence of a shape factor on the multiple scattering cross section (MSCS). This shape factor is independent of the state of polarization of the incident plane wave. The multiple scattering cross section is calculated at oblique incidence with two identical prolate spheroids described by c = 5 and ξ = 1.1547 and located according to two particular configurations. As an illustration, some MSCS patterns are presented here. They are drawn in several azimuthal planes and in the equatorial (or broadside) plane. We note the existence of lobes located along the polar axis in particular azimuthal planes. In the equatorial plane the lobes are differently located according to the position of the centers of spheroids in this plane. It must be noted that the number of lobes increases when the distance between the centers of the spheroids also increases.

No abstract