Radon Transform Interpretation of Retarded-Time Potentials for SWG Bases

Abstract

The closed-form expression of the retarded-time potentials due to impulsively excited Schaubert-Wilton-Glisson (SWG) basis function is obtained using Radon transform interpretation and observation tetrahedron formulation. It has been shown that the closed-form expressions are yielding to geometric parameters, the solid angle and its gradient, formed during the intersection of the time dependent hyper-cone centered at the observation point and support of the SWG basis function. These geometric parameters are determined analytically using observation tetrahedron formulation. Numerical results that demonstrate the validity of the proposed method are presented.