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

dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorGürel, Leventen_US
dc.contributor.bilkentauthorGürel, Levent
dc.contributor.bilkentauthorErgül, Özgür
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.departmentComputational Electromagnetics Research Center (BiLCEM)en_US
dc.description.abstractAccurate 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.en_US
dc.publisherOptical Society of Americaen_US
dc.source.titleJournal of the Optical Society of America A: Optics and Image Science, and Visionen_US
dc.subjectIntegral equationsen_US
dc.subjectIterative methodsen_US
dc.subjectMatrix algebraen_US
dc.subjectOptical materialsen_US
dc.subjectPiecewise linear techniquesen_US
dc.subjectThree dimensionalen_US
dc.subjectCombined field integral equationsen_US
dc.subjectElectromagnetic modelingen_US
dc.subjectElectromagnetic solversen_US
dc.subjectHierarchical strategiesen_US
dc.subjectMulti level fast multipole algorithms (MLFMA)en_US
dc.subjectMulti-level fast multi-pole algorithmen_US
dc.subjectParallel implementationsen_US
dc.subjectSurface integral equationsen_US
dc.subjectStructure (composition)en_US
dc.titleFast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithmen_US
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