Classical Books on Method of Moments Implementation with MATLAB Code

The Method of Moments (MoM) stands as a classical numerical technique in computational electromagnetics, playing a vital role in solving electromagnetic field problems. This method transforms integral equations into matrix equations, enabling accurate modeling of complex electromagnetic scenarios. For engineers and researchers, mastering the principles and implementation of MoM represents a fundamental skill for conducting electromagnetic simulation work.

Implementing the Method of Moments in MATLAB typically requires attention to several core components: First is the discretization of target structures, which involves the selection of basis functions and weighting functions - this can be implemented using pulse functions, triangle basis functions, or RWG basis functions for surface modeling. Second is the construction of the impedance matrix, the computational heart of MoM, where MATLAB's matrix operations efficiently handle the Green's function integrations and matrix filling procedures. Finally comes solving the matrix equation using techniques like LU decomposition or iterative solvers, followed by near-field to far-field transformations. Through proper programming implementation, typical electromagnetic problems such as wire antennas and microstrip structures can be efficiently solved.

Classical MoM books systematically introduce these key technologies while demonstrating complete implementation workflows with practical examples. Such resources hold significant value for understanding both the mathematical essence of the algorithm and its engineering applications. For readers seeking deeper study, it's recommended to focus on advanced topics discussed in these books, including singular integral treatment using techniques like singularity extraction, and matrix compression methods like the Adaptive Integral Method (AIM) or Fast Multipole Method (FMM) - these aspects are crucial for enhancing computational efficiency in large-scale problems.