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

Kostyantyn Sirenko; Yuriy Sirenko; Hakan Bagci

doi:10.1109/JMMCT.2018.2859315

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

Kostyantyn Sirenko, Yuriy Sirenko, Hakan Bagci

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	108-120
Number of pages	13
Journal	IEEE Journal on Multiscale and Multiphysics Computational Techniques
Volume	3
DOIs	https://doi.org/10.1109/JMMCT.2018.2859315
State	Published - 2018

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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).

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10.1109/JMMCT.2018.2859315

https://repository.kaust.edu.sa/bitstream/10754/655924/1/08418679.pdf

Cite this

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

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.",

author = "Kostyantyn Sirenko and Yuriy Sirenko and Hakan Bagci",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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).",

year = "2018",

doi = "10.1109/JMMCT.2018.2859315",

language = "English (US)",

volume = "3",

pages = "108--120",

journal = "IEEE Journal on Multiscale and Multiphysics Computational Techniques",

issn = "2379-8815",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

Exact Absorbing Boundary Conditions for Periodic Three-Dimensional Structures: Derivation and Implementation in Discontinuous Galerkin Time-Domain Method. / Sirenko, Kostyantyn; Sirenko, Yuriy; Bagci, Hakan.
In: IEEE Journal on Multiscale and Multiphysics Computational Techniques, Vol. 3, 2018, p. 108-120.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Exact Absorbing Boundary Conditions for Periodic Three-Dimensional Structures: Derivation and Implementation in Discontinuous Galerkin Time-Domain Method

AU - Sirenko, Kostyantyn

AU - Sirenko, Yuriy

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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).

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/655924

UR - https://ieeexplore.ieee.org/document/8418679/

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DO - 10.1109/JMMCT.2018.2859315

M3 - Article

SN - 2379-8815

VL - 3

SP - 108

EP - 120

JO - IEEE Journal on Multiscale and Multiphysics Computational Techniques

JF - IEEE Journal on Multiscale and Multiphysics Computational Techniques

ER -

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

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