MATLAB Implementation of Method of Moments Algorithm

The MATLAB implementation of the Method of Moments comprises three fundamental components. First, the program includes grid partitioning functionality, where the computational domain is discretized into smaller elements using structured meshing techniques. This mesh generation typically employs geometric primitives and coordinate transformations to create triangular or rectangular elements suitable for electromagnetic analysis. Second, the program implements basis functions through vectorized MATLAB operations. Common implementations include rooftop basis functions for surface currents or pulse basis functions for simpler representations. The code handles basis function assignment through matrix operations that map field values to specific mesh elements, with careful attention to boundary conditions and function continuity. Finally, the core method of moments algorithm solves the integral equation system through matrix formulation. The implementation involves filling the impedance matrix using numerical integration techniques like Gaussian quadrature, followed by solving the linear system using built-in MATLAB solvers (e.g., backslash operator or iterative methods). The solution process includes handling singular integrals through analytical techniques or specialized quadrature rules. This comprehensive MATLAB implementation provides an efficient framework for electromagnetic problem analysis, incorporating adaptive mesh refinement options, various basis function types, and optimized matrix solution methods for large-scale problems.