Interpolatory basis for two-dimensional scattering problems

Abstract

The problem of scattering from two-dimensional bodies continue to attract the attention of researchers, and a major focus of the research has been the reduction of the computational time. In the method of moments (MoM) formulation of the 2D scattering problem, the unknown currents are expanded in suitable basis functions and this is followed by a testing procedure. Pulse expansion and point matching is one of the preferred methods because it is both simple and computationally efficient. This method may present a bottleneck due to the singular nature of the kernel. In this paper, both the TE and TM scattering from two-dimensional conducting bodies are investigated by using interpolatory basis functions which help to circumvent this problem. Using this functions results in simplified and accurate expressions for the matrix elements in the CFIE, with out employing higher-order basis to handle the singular kernels. This approach has the simplicity of the collocation technique and yet yields an efficient solution for the surface currents. Scattering from square PEC cylinder is a model test case to see if the singular nature of the current at the 90/spl deg/ corners is indeed reproduced in the solution for the TMz illumination. Numerical results for TEz and TMz polarization have been derived and compared with those available in the literature.