Broad-Band Fast Computational Electromagnetics Algorithm - MFIPWA

Abstract

A novel computational electromagnetics algorithm, MFIPWA (Modified Fast Inhomogeneous Plane Wave Algorithm), is presented to provide an unique solution for the general broad-band electromagnetic analysis. Through the study of the traditional MLFMA (Multi-Level Fast Multipole Algorithm) and FIPWA (Fast Inhomogeneous Plane Wave Algorithm), it is found that the evanescent waves are the critical reason for the low-frequency breakdown problem. To maintain the accuracy, evanescent-wave translations are used to extend the valid frequency range to low frequencies; to improve the efficiency of the algorithm, extrapolations are employed. The resultant new algorithm is error controllable over the broad frequency band. The effectiveness of this new method is demonstrated by the numerical examples.