Decomposing Mom Matrix To Sparse Matrices for Wire Antennas and Wire Scattering By Mei Method

Abstract

Recently, fast computational methods for directly thinning the matrix of Method of Moment (MoM), such as Impedance Matrix Localization (IML) [1], wavelet expansions [2], and Reduced Expansion and Field Testing (REFT) [3], have been introduced. In this paper, we propose a simple approach to thin the MoM matrix by using the concept of Measured Equation of Invariance (MEI) [4]. This approach is referred to as Matrix Decomposition by MEI (MDMEI). A little effort is required to add the resulting method to any of a variety of MoM programs for solving problems of wire antennas, and wire scattering. When sparsity rate (ratio of non-zero elements to total elements) of the MDMEI matrix reaches to 2.8%-5.6%, the results for a thin wire antenna with 8λ length and a thin wire scattering with 16λ length obtained. by the MDMEI is in excellent agreement to the MoM results.