Title :
A separable approximation for convolution with the retarded Green´s function and its application to time domain integral equations
Author :
Pray, A.J. ; Nair, N.V. ; Shanker, B.
Author_Institution :
Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA
Abstract :
A scheme for the evaluation of retarded potential integrals is presented wherein the convolution of the retarded potential Green´s function with the basis functions is approximated using an expansion of separable functions in time and space. The proposed scheme renders the spatial integrands required in this computation smooth over both the source and testing domains, which is typically not true in the traditional TDIE formulation. Numerical experiments have been performed to quantify the error in this approximation and results to a selection of canonical geometries are presented.
Keywords :
Green´s function methods; approximation theory; computational electromagnetics; convolution; integral equations; time-domain analysis; basis function; canonical geometry; convolution; retarded Green function; retarded potential integral; time domain integral equation; Approximation methods; Convolution; Frequency domain analysis; Integral equations; Scattering; Testing; Time domain analysis;
Conference_Titel :
Antennas and Propagation (APSURSI), 2011 IEEE International Symposium on
Conference_Location :
Spokane, WA
Print_ISBN :
978-1-4244-9562-7
DOI :
10.1109/APS.2011.5996993