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oai:www.ideals.illinois.edu:2142/80880 2023-07-11 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

2015-09-25T20:08:37Z 10000-01-01 Chew, Weng Cho Jiang, Li Jun 2015-09-25T20:08:37Z 2004 2004 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. Made available in DSpace on 2015-09-25T20:08:37Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3153334.pdf: 5416540 bytes, checksum: b45a505c3d4a00a3f1eab434f248687e (MD5) Previous issue date: 2004 Embargo set by: Seth Robbins for item 82162 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 118 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004. http://hdl.handle.net/2142/80880 (MiAaPQ)AAI3153334 eng Engineering, Electronics and Electrical Studies on Low Frequency Fast Multipole Algorithms text Electrical Engineering Electrical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.