Calculating Linear Antenna Surface Current Distribution Using Method of Moments Solution to Hallen's Equation

This implementation uses the Method of Moments (MoM) to solve Hallen's equation for determining the surface current distribution on linear antennas, along with E-plane radiation patterns and radiation impedance. The MoM approach discretizes the integral equation into a matrix system using basis functions (typically pulse or triangle functions) for current expansion and testing functions (often Dirac delta functions) at matching points. Key computational steps include: constructing impedance matrix elements through numerical integration of Green's function, solving the linear system Ax=b using matrix inversion techniques (LU decomposition or iterative solvers), and post-processing results for current distribution visualization. The obtained current distribution enables calculation of E-plane radiation patterns through numerical integration of current contributions across antenna segments. Radiation impedance is derived from the input voltage-current relationship at the feed point, providing crucial parameters for antenna matching network design. This comprehensive MoM implementation allows simultaneous analysis of antenna current behavior, radiation characteristics, and impedance properties for complete performance evaluation.