The Method of Matrix-Order Reduction and Its Applications to Electromagnetic Problems

Wei CAO  Naoki INAGAKI  Di WU  

Publication
IEICE TRANSACTIONS on Communications   Vol.E80-B   No.4   pp.608-616
Publication Date: 1997/04/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Antennas and Propagation
Keyword: 
method of matrix-order reduction,  method of moments,  generalized Jacobian iteration,  electromagnetic problems,  wire antennas,  

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Summary: 
A new numerical technique, termed the method of matrix-order reduction (MMOR), is developed for handling electromagnetic problems in this paper, in which the matrix equation resulted from a method-of-moments analysis is converted either to an eigenvalue equation or to another matrix equation with the matrix order in both cases being much reduced, and also, the accuracy of solution obtained by solving either of above equations is improved by means of a newly proposed generalized Jacobian iteration. As a result, this technique enjoys the advantages of less computational expenses and a relatively good solution accuracy as well. To testify this new technique, a number of wire antennas are examined and the calculated results are compared with those obtained by using the method of moments.