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Articles

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

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Pages 1699-1706 | Published online: 03 Apr 2012
 

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.

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