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      Fast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithm

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      Author
      Ergül, Özgür
      Gürel, Levent
      Date
      2013
      Source Title
      Journal of the Optical Society of America A: Optics and Image Science, and Vision
      Print ISSN
      1084-7529
      Publisher
      Optical Society of America
      Volume
      30
      Issue
      3
      Pages
      509 - 517
      Language
      English
      Type
      Article
      Item Usage Stats
      124
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      99
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      Abstract
      Accurate electromagnetic modeling of complicated optical structures poses several challenges. Optical metamaterial and plasmonic structures are composed of multiple coexisting dielectric and/or conducting parts. Such composite structures may possess diverse values of conductivities and dielectric constants, including negative permittivity and permeability. Further challenges are the large sizes of the structures with respect to wavelength and the complexities of the geometries. In order to overcome these challenges and to achieve rigorous and efficient electromagnetic modeling of three-dimensional optical composite structures, we have developed a parallel implementation of the multilevel fast multipole algorithm (MLFMA). Precise formulation of composite structures is achieved with the so-called "electric and magnetic current combined-field integral equation." Surface integral equations are carefully discretized with piecewise linear basis functions, and the ensuing dense matrix equations are solved iteratively with parallel MLFMA. The hierarchical strategy is used for the efficient parallelization of MLFMA on distributed-memory architectures. In this paper, fast and accurate solutions of large-scale canonical and complicated real-life problems, such as optical metamaterials, discretized with tens of millions of unknowns are presented in order to demonstrate the capabilities of the proposed electromagnetic solver.
      Keywords
      Integral equations
      Iterative methods
      Matrix algebra
      Optical materials
      Piecewise linear techniques
      Three dimensional
      Combined field integral equations
      Electromagnetic modeling
      Electromagnetic solvers
      Hierarchical strategies
      Multi level fast multipole algorithms (MLFMA)
      Multi-level fast multi-pole algorithm
      Parallel implementations
      Surface integral equations
      Structure (composition)
      Permalink
      http://hdl.handle.net/11693/21154
      Published Version (Please cite this version)
      https://doi.org/10.1364/JOSAA.30.000509
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 85
      • Department of Electrical and Electronics Engineering 3524
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