Cylinder TE/TM Wave Scattering Analysis

In this paper, we investigate the solution for cylinder TE/TM wave scattering. We employ the Moment Method to solve this problem, which is specifically implemented as a Galerkin method. This approach selects identical basis and weighting functions, requiring careful discretization of the integral equations governing wave-scatterer interactions. The key advantage of this method lies in its ability to accurately solve cylinder TE/TM wave scattering problems while being extensible to related electromagnetic scattering scenarios. In practical implementations, developers typically use pulse basis functions for surface current expansion and apply point matching at discrete locations along the cylinder surface. This formulation transforms the original integral equation into a matrix system solvable through linear algebra techniques. This methodology has gained widespread adoption in computational electromagnetics due to its reliable accuracy and computational efficiency. The implementation typically involves calculating impedance matrix elements through numerical integration of Green's functions, followed by matrix inversion to obtain surface current distributions. The scattered fields can then be derived from these currents using radiation integrals. From a coding perspective, the algorithm requires careful handling of singular integrals when source and observation points coincide, often implemented using singularity extraction techniques. The solution provides significant time and cost savings compared to experimental measurements while maintaining high accuracy for engineering applications.