Physically based expansion on conformal Gaussian beams for the radiation of curved aperture in dimension 2

Abstract

A Gabor-based Gaussian beam expansion to describe the radiation of electric and magnetic currents on a regular curved interface in dimension 2 has previously been proposed. This expansion represents the radiated fields as a superposition of elementary beams, the conformal Gaussian beams, for which an analytical formulation has been developed. In the context of industrial design and optimisation of radomes, computation time is of primary importance. Therefore a new pragmatic approach to represent the radiated fields on a smaller set of conformal Gaussian beams is proposed. This new expansion does not use Gabor frames but is based on the physical properties of the configuration. Few numerical experiments are presented to evaluate its performances.