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Development and application of adaptive basis functions to generate a diagonal moment matrix for electromagnetic field problems
Author(s) -
Rao Sadasiva M.,
Waller Marsellas L.
Publication year - 2001
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 - 10.1002/1098-2760(20010305)28:5<357::aid-mop1040>3.0.co;2-3
Subject(s) - diagonal , basis function , basis (linear algebra) , method of moments (probability theory) , matrix (chemical analysis) , moment (physics) , set (abstract data type) , electromagnetic field , diagonal matrix , microwave , field (mathematics) , computer science , mathematics , computational science , algorithm , mathematical analysis , physics , geometry , classical mechanics , pure mathematics , telecommunications , quantum mechanics , statistics , materials science , estimator , composite material , programming language
In this work, we present a novel numerical technique, using a specially constructed adaptive basis functions set, to generate a diagonal matrix while applying the well‐known method of moments (MoM) to electromagnetic field problems. Obviously, the crucial step in the numerical procedure is the construction of the basis set for a given problem. Since the present technique generates a diagonal matrix, this amounts to a considerable savings in terms of computer storage/CPU requirements. Finally, we present some representative numerical examples involving two‐dimensional cylinders of arbitrary cross section subjected to transverse magnetic (TM) incidence to demonstrate the validity of this new method. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 28: 357–361, 2001.