CBMOM - an iteration free MoM approach for solving large multiscale EM radiation and scattering problems

Numerical solutions of electromagnetic radiation and scattering using the MoM are limited in their application to moderately-sized objects (in terms of wavelength) only, because of the CPU memory and execution time required by the method when dealing with larger structures. Researchers have explored ways to circumvent these problems. Most of these methods rely upon iteration methods, and this can lead to convergence difficulties. In contrast, the CBMOM significantly differs from these approaches in several aspects. First, the technique is more general. Second, it includes mutual coupling effects rigorously, and yet reduces the number of degrees of freedom (DOFs) dramatically. Third, it uses a new type of high-level basis functions, referred to as characteristic basis functions (CBFs), which are used to represent the unknown induced current. The use of CBFs enables us to bypass iteration methods altogether. The paper gives some examples of multiscale problems which can be solved by CBMOM.