TM Wave Scattering by Metallic Elliptical Cylinder: Method of Moments MATLAB Code Implementation

This article explores the scattering problem of TM waves incident on metallic elliptical cylinders. To solve this electromagnetic scattering problem, we employ the Method of Moments (MoM) and provide comprehensive MATLAB program code. The content begins with a brief introduction to thebackground of scattering problems and relevant theoretical foundations, followed by detailed explanations of implementing MoM for this specific scenario. The implementation includes key algorithmic steps: discretization of the elliptical cylinder surface using parameterized coordinates, formulation of integral equations for surface currents, and matrix construction using point matching technique. The MATLAB code demonstrates how to handle elliptical geometry through coordinate transformations and how to compute the required Green's functions for cylindrical structures. We provide detailed implementation steps and sample code segments that illustrate: 1) Geometry parameterization for elliptical shapes, 2) Matrix filling procedures for the MoM system, 3) Solutions for surface current distributions, and 4) Far-field scattering pattern computations. The code utilizes MATLAB's matrix operations efficiently to solve the dense linear systems characteristic of MoM implementations. The article concludes by discussing potential applications in antenna design, radar cross-section analysis, and electromagnetic compatibility studies. Future research directions include extending the method to multiple scattering scenarios, incorporating dielectric materials, and optimizing computational efficiency through accelerated algorithms.