Solution Process for Scattering Problem of Infinite Cylindrical Conductor (Method of Moments)

In addressing the scattering problem of an infinite cylindrical conductor, we employ the Method of Moments (MoM). For this implementation, pulse basis functions are chosen as the basis functions to effectively discretize the surface current distribution along the conductor's circumference. In code implementation, this typically involves dividing the cylindrical surface into discrete segments where each pulse function represents constant current over one segment. Additionally, Dirac delta functions are utilized as weighting functions, implementing the point matching technique (also known as Galerkin's method with delta weighting). This approach enforces boundary conditions at discrete testing points, which in programming terms corresponds to evaluating the integral equations at specific sample positions. This methodology enables more accurate solution of the scattering problem while providing better insights into the fundamental characteristics and physical nature of the problem. The numerical implementation typically involves matrix formulation where the impedance matrix elements represent interactions between discrete segments, with the solution yielding the surface current distribution from which scattered fields can be computed.