Studies on Low Frequency Fast Multipole Algorithms

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Jiang, Li Jun

Contributors dc:contributor

• Chew, Weng Cho

• Engineering, Electronics and Electrical

Language dc:language

eng

Identifier

(MiAaPQ)AAI3153334

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/80880