Efficient methods for electromagnetic characterization of 2-D geometries in stratified media

Abstract

Numerically efficient method of moments (MoM) algorithms are developed for and applied to 2-D geometries in multilayer media. These are, namely, the spatial-domain MoM in conjunction with the closed-from Green's functions, the spectral-domain MoM using the generalized pencil of functions (GPOF) algorithm and a FFT algorithm to evaluate the MoM matrix entries. These approaches are mainly to improve the computational efficiency of the evaluation of the MoM matrix entries. Among these, the spectral-domain MoM using the GPOF algorithm is the most efficient approach for printed multilayer geometries. The assessment of the efficiency of this method is performed on several problems, by comparing the matrix fill times for these three approaches. In addition a new iterative algorithm is developed to solve the MoM matrix equation, which is based on dividing a large object into subregions and solving the matrix equation on each subregion by considering the effects of other regions. This iterative algorithm is applied to some large geometries and is compared to a traditional LU decomposition algorithm for the assessment of its numerical efficiency. It is observed that the iterative algorithm is numerically more efficient as compared to the LU decomposition.