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4 - A one-dimensional introduction to the method of moments: modelling thin wires and infinite cylinders

Published online by Cambridge University Press:  05 July 2014

David B. Davidson
David B. Davidson
Affiliation:
University of Stellenbosch, South Africa
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Summary

Introduction

The method of moments – MoM – was one of the first numerical methods to achieve widespread acceptance in electronic engineering for the analysis of antennas and scatterers. It is generally defined as a method for reducing an integro-differential equation to a set of linear equations. The origins of the method are old: as was already indicated in Chapter 1, some of the early work was done over a century ago. One of the widely used integral equation formulations still used for the analysis of thin wires (that due to Pocklington) was first presented in 1897 (although he used a series expansion method, rather than the modern segmentation approach). The first publications in the antenna and propagation professional literature were in the early 1960s, and some of the canonical papers (those of Harrington, Richmond, Mei and Andreasen) appeared at much the same time as Yee's paper. The specific name “method of moments” was introduced by Harrington in his early work, and the name caught on quickly; this was perhaps unfortunate, since the name has a slightly different meaning in contemporary applied mathematics. In that field, and also fields such as computational mechanics, the term “method of weighted residuals” is generally used for what has become known as the MoM in radio-frequency engineering. Another term widely used in other fields of engineering is “boundary element method”; for highly conducting structures, this term and the MoM as used in electromagnetics are synonymous.

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Chapter
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Computational Electromagnetics for RF and Microwave Engineering , pp. 130 - 165
Publisher: Cambridge University Press
Print publication year: 2010

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References

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