Efficient solutions of metamaterial problems using a low-frequency multilevel fast multipole algorithm
Author
Ergül, Özgür
Gürel, Levent
Date
2010Source Title
Progress in Electromagnetics Research
Print ISSN
1070-4698
Volume
108
Pages
81 - 99
Language
English
Type
ArticleItem Usage Stats
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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.
Keywords
Accurate analysisElectromagnetics
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