Summary
International Symposium on Antennas and Propagation
2009
Session Number:1F2
Session:
Number:1F2-2
Investigation of Moment Method Solutions Based on Impulse Expansion Functions
Z. Ibragimov, H. Matzner,
pp.261-264
Publication Date:2009/10/21
Online ISSN:2188-5079
Summary:
The Method of Moments (MM) is a numerical method for solving electromagnetic problems. It is popular because of its simplicity and most important because it can give very accurate results [1]. Inclusion of the edge behaviour of the fields in the expansion functions leads to more accurate and fast converging solution [2]. [3] deals with the characterization of an infinite array microstrip elements, and it is shown that a complete set of trigonometric functions which do not enforce the correct edge behaviour slows significantly the rate of solution convergence. The convergence of the MM is closely related to the choice of expansion functions and, although to a lesser extent to the choice of testing functions. Different expansion and test functions were checked during the last years in order to get more accurate and fast converging solutions. Expansion function consideration for the MM using a lot of different models and techniques. In general, expansion functions can be classified into entire domain expansion functions and sub?domain expansion functions (rectangular, triangular, etc). Investigation of MM solutions using impulse function defined in infinite domain is illustrated by solving simple electromagnetic problem for which the analytic solution is known. In this paper we check the efficiency of a MM solution when expansion functions contain impulse functions and obey to known physical behaviour of the fields near the edges of the disk and at infinity. The structure of the paper is as follows: chapter 2 describes the formulation of the problem and includes the analytical solution and the MM solutions. Chapter 3 deals with the selection of the expansion functions and numerical results are presented in chapter 4. The conclusions are discussed in chapter 5.