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Title:Studies on Low Frequency Fast Multipole Algorithms
Author(s):Jiang, Li Jun
Doctoral Committee Chair(s):Chew, Weng Cho
Department / Program:Electrical Engineering
Discipline:Electrical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Engineering, Electronics and Electrical
Abstract:The low frequency breakdown problem of MLFMA is studied in the second part. A low frequency fast inhomogeneous plane wave algorithm (LF-FIPWA) is developed to overcome this issue with the transition region around 0.1 wavelength. Evanescent waves and propagating waves are both used to compensate for the accuracy lost in the conventional translation process. The scale invariance of LF-FIPWA is studied in detail to preserve the basic Laplace equation property. To improve the efficiency at low frequencies, a novel mixed-form fast multipole algorithm is introduced. The conversion between the multipoles at low frequencies and plane waves at midfrequencies is needed during the aggregation and disaggregation processes. Both dense and diagonal translations are used for one FMA matrix-vector multiplication. This method can effectively overcome the low frequency limitation of MLFMA.
Issue Date:2004
Type:Text
Language:English
Description:118 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.
URI:http://hdl.handle.net/2142/80880
Other Identifier(s):(MiAaPQ)AAI3153334
Date Available in IDEALS:2015-09-25
Date Deposited:2004


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