A new computational approach to solve the self-consistent GTTD formulation

摘要

For avoiding mathematical complexity occuring in the 2-dimensional exterior scattering problems, which consists of an infinitely-long perfectly-conducting convex cylinder illuminated by a source of current filament, either electric or magnetic, near the cylinder, N. Wang [1] proposed a self-consistent GTD formulation. The latter avers that, if the 2-dimensional problem is concerned with, the convex surface may be alternatively modeled to be composed of flat planes linking with wedges of finite number, then the original convex surface diffraction problem is transformed into an one of just considering the wedge diffraction and geometrical optic field calculation, refer to Fig. 1. Moreover a matrix with sparse manner is always resulted in the self-consistent GTD formulation, fortunately, due to the specially inbred characteristics of the constituent in this matrix, the Gauss-Seidel iterative method may be applied to solve this formulation very effectively since the convergence condition is well satisfied.