Reducing moment method storage from order N2 to order N

Abstract

Previously, integral equation-based calculations of electromagnetic scattering and radiation (e.g. moment method calculations) have required a full N × N matrix when there are N unknowns. However, in the letter novel basis and testing functions are presented, for which the resulting matrix is approximately sparse. That is, nearly all of its elements are nearly zero. This kind of technique is expected to reduce typical storage and execution time requirements by orders of magnitude.