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      • Department of Electrical and Electronics Engineering
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      Efficient solutions of metamaterial problems using a low-frequency multilevel fast multipole algorithm

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      Author
      Ergül, Özgür
      Gürel, Levent
      Date
      2010
      Source Title
      Progress in Electromagnetics Research
      Print ISSN
      1070-4698
      Volume
      108
      Pages
      81 - 99
      Language
      English
      Type
      Article
      Item Usage Stats
      125
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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 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
      Permalink
      http://hdl.handle.net/11693/22134
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 85
      • Department of Electrical and Electronics Engineering 3601
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