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Interpolation scheme for fast calculation of reaction terms in the characteristic basis function method
Author(s) -
Laviada Jaime,
Mittra R.,
Pino Marcos R.,
LasHeras Fernando
Publication year - 2009
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.24478
Subject(s) - interpolation (computer graphics) , basis function , algorithm , basis (linear algebra) , method of moments (probability theory) , acceleration , computation , computer science , impedance parameters , sampling (signal processing) , field (mathematics) , mathematics , electrical impedance , mathematical analysis , physics , geometry , telecommunications , statistics , classical mechanics , frame (networking) , estimator , quantum mechanics , detector , pure mathematics
Abstract This article presents an acceleration technique for the fast calculation of the impedance matrix elements in the method of moments in the case of using characteristic basis functions (CBFs). This technique is based on taking advantage of the smooth amplitude and phase behaviors of the fields generated by a CBF when the distance is sufficiently large. Computational efficiency is realized by calculating the reaction between a source‐CBF and a test‐CBF by first evaluating a sampling of the field at a sparse set of points, and then computing the fields at the rest via the use of interpolation. Thus, this procedure avoids the highly expensive integration in the source domain that is needed to calculate the radiated field in the entire test domain when following the conventional procedure. Phase unwrap prior to interpolation and the fast sample calculation scheme are detailed in the article. The technique has been validated by considering several examples involving Radar Cross Section computations. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 1818–1824, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24478