Efficient solutions of metamaterial problems using a low-frequency multilevel fast multipole algorithm

Date
2010
Advisor
Instructor
Source Title
Progress in Electromagnetics Research
Print ISSN
1070-4698
Electronic ISSN
Publisher
Volume
108
Issue
Pages
81 - 99
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

We present fast and accurate solutions of electromagnetics problems involving realistic metamaterial structures using a lowfrequency multilevel fast multipole algorithm (LF-MLFMA). Accelerating iterative solutions using robust preconditioning techniques may not be sufficient to reduce the overall processing time when the ordinary high-frequency MLFMA is applied to metamaterial problems. The major bottleneck, i.e., the low-frequency breakdown, should be eliminated for efficient solutions. We show that the combination of an LF-MLFMA implementation based on the multipole expansion with the sparse-approximate-inverse preconditioner enables efficient and accurate analysis of realistic metamaterial structures. Using the robust LF-MLFMA implementation, we demonstrate how the transmission properties of metamaterial walls can be enhanced with randomlyoriented unit cells.

Course
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Book Title
Keywords
Accurate analysis, Electromagnetics, High frequency HF, Iterative solutions, Low frequency, Low-frequency breakdown, Metamaterial structures, Multi-level fast multi-pole algorithm, Multipole expansions, Preconditioners, Preconditioning techniques, Processing time, Transmission property, Unit cells, Algorithms, Walls (structural partitions), Metamaterials
Citation
Published Version (Please cite this version)