Augmented electric field integral equation for analysis of microstrip problems combined with the matrix decomposition algorithm and singular value decomposition approach

Abstract

As a new full-wave method, augmented electric field integral equation (AEFIE) has been proposed for analysis of large-scale and complex problems. By separating the vector potential and the scalar potential to avoid the imbalance of them, it provides a stable formulation to conquer low-frequency break down characteristic of the conventional EFIE(electric field integral equation). In this paper, the AEFIE is utilized to analyze microstrip problems, most of which include electrical small structures. In order to solve large number of unknowns, the matrix decomposition algorithm and singular value decomposition (MDA-SVD) approach is applied, which is a kernel-independent fast algorithm. According to the rank-deficient characteristic of far interaction submatrices, MDA-SVD has a good performance to reduce computation time and memory requirement of moment of method (MoM) code, several numerical examples demonstrate its efficiency and accuracy.