Decomposing MoM matrix to sparse matrices for wire antennas and wire scattering by MEI method

Recently, fast computational methods for directly thinning the matrix of Me thod of Moment (MoM), such as Impedance Matrix Localization (IML) [1], wave let expansions [2], and Reduced Expansion and Field Testing (REFT) [3], hav e 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 l ittle 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. W hen sparsity rate (ratio of non-zero elements to total elements) of the MDM EI matrix reaches to 2.8%-5.6%, the results for a thin wire antenna with 8 lambda length and a thin wire scattering with 16 lambda length obtained, by the MDMEI is in excellent agreement to the MoM results.