Method of Moments Solution for Hallen's Equation and Pocklington's Equation

We can develop a MATLAB program that implements the Method of Moments (MoM) to solve both Hallen's equation and Pocklington's equation for determining current distributions. The program employs numerical discretization techniques such as the Galerkin method with pulse basis functions and point matching to convert the integral equations into matrix equations. Key algorithmic components include implementing impedance matrix calculations using appropriate Green's functions and solving the resulting linear system using efficient matrix inversion techniques like LU decomposition. The implementation can incorporate a graphical user interface (GUI) where users can input essential parameters including operating frequency, wire geometry dimensions, excitation voltage, and number of segmentation points. The program can generate comprehensive output visualizations including 2D and 3D plots of current distributions along conductors, near-field and far-field radiation patterns, and impedance characteristics. Additional functionality may include SAR (Specific Absorption Rate) calculations and polarization analysis to make the tool more comprehensive and user-friendly for electromagnetic analysis applications.