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An inverse power series for the free‐space Green's function
Author(s) -
Leifer Stephen,
Burkholder Robert J.
Publication year - 2006
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.21380
Subject(s) - multipole expansion , series (stratigraphy) , power series , inverse , microwave , mathematical analysis , function (biology) , mathematics , physics , geometry , quantum mechanics , geology , paleontology , evolutionary biology , biology
The multipole expansion for the free‐space Green's function is transformed into an inverse power series of the radial distance to the observer. The fields of a group of sources may be computed outside the source region very accurately by using only the first three terms in the series. Formulas are given for estimating the error as a function of the group diameter and radial distance. The new series may be applied to fast integral equation methods and antenna near‐field analysis. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 467–471, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21380
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