Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions

Kostyantyn Sirenko; Hakan Bagci; Yu K. Sirenko

doi:10.1109/APS.2013.6710676

Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions

Kostyantyn Sirenko, Hakan Bagci, Yu K. Sirenko

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

Exact absorbing and periodic boundary conditions allow to truncate grating problems' infinite physical domains without introducing any errors. This work presents exact absorbing boundary conditions for 3D diffraction gratings and describes their discretization within a high-order time-domain discontinuous Galerkin finite element method (TD-DG-FEM). The error introduced by the boundary condition discretization matches that of the TD-DG-FEM; this results in an optimal solver in terms of accuracy and computation time. Numerical results demonstrate the superiority of this solver over TD-DG-FEM with perfectly matched layers (PML)-based domain truncation. © 2013 IEEE.

Original language	English (US)
Title of host publication	2013 IEEE Antennas and Propagation Society International Symposium (APSURSI)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	31-32
Number of pages	2
ISBN (Print)	9781467353175
DOIs	https://doi.org/10.1109/APS.2013.6710676
State	Published - Jul 2013

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KAUST Repository Item: Exported on 2020-10-01

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10.1109/APS.2013.6710676

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Sirenko, K., Bagci, H., & Sirenko, Y. K. (2013). Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions. In 2013 IEEE Antennas and Propagation Society International Symposium (APSURSI) (pp. 31-32). Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/APS.2013.6710676

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title = "Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions",

abstract = "Exact absorbing and periodic boundary conditions allow to truncate grating problems' infinite physical domains without introducing any errors. This work presents exact absorbing boundary conditions for 3D diffraction gratings and describes their discretization within a high-order time-domain discontinuous Galerkin finite element method (TD-DG-FEM). The error introduced by the boundary condition discretization matches that of the TD-DG-FEM; this results in an optimal solver in terms of accuracy and computation time. Numerical results demonstrate the superiority of this solver over TD-DG-FEM with perfectly matched layers (PML)-based domain truncation. {\textcopyright} 2013 IEEE.",

author = "Kostyantyn Sirenko and Hakan Bagci and Sirenko, {Yu K.}",

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year = "2013",

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doi = "10.1109/APS.2013.6710676",

language = "English (US)",

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Sirenko, K, Bagci, H & Sirenko, YK 2013, Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions. in 2013 IEEE Antennas and Propagation Society International Symposium (APSURSI). Institute of Electrical and Electronics Engineers (IEEE), pp. 31-32. https://doi.org/10.1109/APS.2013.6710676

Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions. / Sirenko, Kostyantyn; Bagci, Hakan; Sirenko, Yu K.
2013 IEEE Antennas and Propagation Society International Symposium (APSURSI). Institute of Electrical and Electronics Engineers (IEEE), 2013. p. 31-32.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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T1 - Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions

AU - Sirenko, Kostyantyn

AU - Bagci, Hakan

AU - Sirenko, Yu K.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2013/7

Y1 - 2013/7

N2 - Exact absorbing and periodic boundary conditions allow to truncate grating problems' infinite physical domains without introducing any errors. This work presents exact absorbing boundary conditions for 3D diffraction gratings and describes their discretization within a high-order time-domain discontinuous Galerkin finite element method (TD-DG-FEM). The error introduced by the boundary condition discretization matches that of the TD-DG-FEM; this results in an optimal solver in terms of accuracy and computation time. Numerical results demonstrate the superiority of this solver over TD-DG-FEM with perfectly matched layers (PML)-based domain truncation. © 2013 IEEE.

AB - Exact absorbing and periodic boundary conditions allow to truncate grating problems' infinite physical domains without introducing any errors. This work presents exact absorbing boundary conditions for 3D diffraction gratings and describes their discretization within a high-order time-domain discontinuous Galerkin finite element method (TD-DG-FEM). The error introduced by the boundary condition discretization matches that of the TD-DG-FEM; this results in an optimal solver in terms of accuracy and computation time. Numerical results demonstrate the superiority of this solver over TD-DG-FEM with perfectly matched layers (PML)-based domain truncation. © 2013 IEEE.

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DO - 10.1109/APS.2013.6710676

M3 - Conference contribution

SN - 9781467353175

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BT - 2013 IEEE Antennas and Propagation Society International Symposium (APSURSI)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions

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