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OPTIMIZED ENTIRE‐DOMAIN MOMENT‐METHOD ANALYSIS OF 3D DIELECTRIC SCATTERERS
Author(s) -
NOTAROŠ B. M.,
POPOVIĆ B. D.
Publication year - 1997
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/(sici)1099-1204(199705)10:3<177::aid-jnm270>3.0.co;2-b
Subject(s) - method of moments (probability theory) , moment (physics) , dielectric , galerkin method , hexahedron , current (fluid) , domain (mathematical analysis) , polynomial , mathematical analysis , algorithm , mathematics , computer science , materials science , finite element method , physics , structural engineering , classical mechanics , engineering , statistics , optoelectronics , estimator , thermodynamics
When compared with commonly used subdomain moment‐method analysis, entire‐domain analysis of 3D dielectric scatterers results in a greatly reduced number of unknowns. Unfortunately, the expressions for matrix elements tend to be quite complicated and their calculation extremely time‐consuming if evaluated directly. It is shown in the paper that, in a Galerkin‐type solution with large trilinear hexahedral basic volume elements and three‐dimensional polynomial approximation of volume current inside them, these expressions can be manipulated analytically for optimized rapid non‐redundant integration. Consequently, a method for the analysis of 3D dielectric scatterers is obtained that is efficient, rapidly converging with increasing degree of approximation for current, remarkably accurate and very moderate in computer memory requirements. The applicability of the method of moments is thereby extended to bodies of electrical sizes greatly exceeding those that can be dealt with by subdomain methods. © 1997 John Wiley & Sons, Ltd.