Application of the Generalized Multipole Technique (GMT) to High-Frequency Electromagnetic Scattering from Perfectly Conducting and Dielectric Bodies of Revolution

Abstract

The generalized multipole technique (GMT) is utilized to calculate rigorously the full-vector electromagnetic (EM) fields scattered from electrically large, perfectly conducting (PC) and penetrable bodies of revolution, of smooth but otherwise arbitrary geometry. Analytically tractable, multiple spherical multipole (MSM) equivalent sources, involving spherical Hankel functions (SHFs) with their origins embedded within the surface and suitably located along the axis of rotational symmetry, are employed as eigenfunctions for the representation of the fields in the exterior domain of the scattering problem. The salient feature of the proposed formalism is that the induced fields in the interior of dielectric volumes are expressed as a superposition of appropriate set of equivalent multiple spherical vector wavefunctions involving spherical Bessel functions (SBFs) of the first kind and located in the interior of the object to be treated to take advantage of rotational symmetry. Numerical results for the differential scattering cross-section (DSCS) patterns as well as the extinction, scattering, absorption, and backscattering efficiencies are presented for a wide range of 3-D electrically extended geometries which, to the best of our knowledge, have not been hitherto considered by either analytical solutions or any other integral, differential, and/or hybrid numerical methods.