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    Exact Absorbing Boundary Conditions for Periodic Three-Dimensional Structures: Derivation and Implementation in Discontinuous Galerkin Time-Domain Method

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    Type
    Article
    Authors
    Sirenko, Kostyantyn
    Sirenko, Yuriy
    Bagci, Hakan cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering
    Electrical Engineering Program
    Date
    2018
    Permanent link to this record
    http://hdl.handle.net/10754/655924
    
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    Abstract
    A discontinuous Galerkin time-domain method (DGTD) enhanced with exact absorbing boundary conditions (EACs) for characterizing transient electromagnetic interactions on periodic three-dimensional (3-D) gratings is proposed. The EACs are derived rigorously and discretized using a high-order scheme in space and time. The periodic boundary conditions (PBCs) under oblique incidence are also discussed. Implementation of the EACs and PBCs within the DGTD framework is described in detail. Numerical results demonstrate that the accuracy of the discretized EACs matches to that of the discretized Maxwell equations. Additionally, the accuracy and efficiency of the DGTD with the EACs are found to be superior to that of the same DGTD with the perfectly matched layers or approximate absorbing boundary conditions.
    Citation
    Sirenko, K., Sirenko, Y., & Bagci, H. (2018). Exact Absorbing Boundary Conditions for Periodic Three-Dimensional Structures: Derivation and Implementation in Discontinuous Galerkin Time-Domain Method. IEEE Journal on Multiscale and Multiphysics Computational Techniques, 3, 108–120. doi:10.1109/jmmct.2018.2859315
    Sponsors
    This work was supported in part by the Strategic Research Initiative - Uncertainty Quantification (SRI-UQ) Center, Division of Computer, Electrical, and Mathematical Science and Engineering (CEMSE), King Abdullah University of Science and Technology (KAUST).
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Journal on Multiscale and Multiphysics Computational Techniques
    DOI
    10.1109/JMMCT.2018.2859315
    Additional Links
    https://ieeexplore.ieee.org/document/8418679/
    https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8418679
    ae974a485f413a2113503eed53cd6c53
    10.1109/JMMCT.2018.2859315
    Scopus Count
    Collections
    Articles; Electrical Engineering Program; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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