Two-Dimensional Infinitely Long Dielectric Cylinders: TM Polarization Analysis with Method of Moments

This paper investigates the electromagnetic current distributions and bistatic Radar Cross Section (RCS) calculations for TM-polarized waves interacting with various 2D infinitely long dielectric geometries including circular cylinders, elliptical cylinders, square cylinders, and triangular cylinders. The implementation employs the point matching method described in Chapter 3 of Harrington's "Method of Moments in Computational Electromagnetics." Through numerical simulations of different geometric configurations, we analyze the wave propagation characteristics within these dielectric structures. The computational approach involves discretizing the dielectric surfaces using pulse basis functions and applying boundary conditions through point matching technique, which simplifies the integral equations into matrix equations solvable by linear algebra methods. The bistatic RCS calculations provide comprehensive understanding of electromagnetic wave interactions with varying geometric shapes. The research findings offer valuable insights into electromagnetic wave behavior in different dielectric geometries, with significant implications for radar systems, communication technologies, and electromagnetic compatibility applications. Key implementation aspects include proper discretization of geometric boundaries, accurate implementation of Green's functions for 2D problems, and efficient matrix solution techniques for large-scale problems.