A Hybrid Ewald-Spectral Cavity Green’s Function Boundary Element Method With Spectral Domain Acceleration for Modeling of Over-Moded Cavities

Abstract

A hybrid Ewald-spectral cavity Green's function (CGF) boundary element method (BEM) with spectral domain acceleration is presented. In contrast to all previous work on the CGF BEM, the presented method relieves the two major drawbacks of the CGF approach: 1) the high-frequency complexity is decreased using a hybrid Ewald-spectral representation of the CGF and 2) the costly evaluation of the interaction integrals is accelerated with a fast group spectral domain approach. Results demonstrate that cavities containing small, medium-sized, and large objects are efficiently modeled over a wide frequency range. Index Terms-Boundary element method (BEM), cavityGreen's function (CGF), over-moded cavities, reverberation chambers, spectral domain approach. 0018-926X

Fast and Broad Band Calculation of the Dyadic Green's Function in the Rectangular Cavity; An Imaginary Wave Number Extraction Technique

“…On the other side, spectral expansion does not converge in the proximity of the source as a consequence of the singular behavior of the Green's function. The famous Ewald's technique is about to obtain a hybrid spectral-spatial summation that has an exponential convergence rate [9][10][11][12] which is a successful technique of taking advantage of both spectral and spatial expansions. Another method based on the Chebyshev polynomial approximation is reported [13] that provides an efficient way of evaluation of the Green's function in the rectangular cavity.…”