CIP Basis Set Method for Electromagnetic Simulation

Yoshiaki ANDO; Yusuke TAKAHASHI

doi:10.1587/transele.E97.C.26

CIP Basis Set Method for Electromagnetic Simulation

Yoshiaki ANDO, Yusuke TAKAHASHI

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This paper presents an application of the constained interpolation profile basis set (CIP-BS) method to electromagnetic fields analyses. Electromagnetic fields can be expanded in terms of multi-dimensional CIP basis functions, and the Galerkin method can then be applied to obtain a system of linear equations. In the present study, we focus on a two-dimensional problem with TM_z polarization. In order to examine the precision of the CIP-BS method, TE₂₀₂ resonant mode in a rectangular cavity is analyzed. The numerical results show that CIP-BS method has better performance than the finite-difference time-domain (FDTD) method when the time step is small. Then an absorbing boundary condition based on the perfectly matched layer (PML) is formulated, and the absorption performance is demonstrated. Finally, the propagation in an inhomogeneous medium is computed by using the proposed method, and it is observed that in the CIP-BS method, smooth variation of material constants is effectively formulated without additional computational costs, and that accurate results are obtained in comparison with the FDTD method even if the permittivity is high.

Publication: IEICE TRANSACTIONS on Electronics Vol.E97-C No.1 pp.26-32

Publication Date: 2014/01/01

Publicized

Online ISSN: 1745-1353

DOI: 10.1587/transele.E97.C.26

Type of Manuscript: Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)

Category: Numerical Techniques

Authors

Yoshiaki ANDO
The University of Elctro-Communications
Yusuke TAKAHASHI
The University of Elctro-Communications

Keyword

constrained-interpolation profile basis set method, Galerkin method, nearly perfectly matched layer

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Yoshiaki ANDO, Yusuke TAKAHASHI, "CIP Basis Set Method for Electromagnetic Simulation" in IEICE TRANSACTIONS on Electronics, vol. E97-C, no. 1, pp. 26-32, January 2014, doi: 10.1587/transele.E97.C.26.
Abstract: This paper presents an application of the constained interpolation profile basis set (CIP-BS) method to electromagnetic fields analyses. Electromagnetic fields can be expanded in terms of multi-dimensional CIP basis functions, and the Galerkin method can then be applied to obtain a system of linear equations. In the present study, we focus on a two-dimensional problem with TM_z polarization. In order to examine the precision of the CIP-BS method, TE₂₀₂ resonant mode in a rectangular cavity is analyzed. The numerical results show that CIP-BS method has better performance than the finite-difference time-domain (FDTD) method when the time step is small. Then an absorbing boundary condition based on the perfectly matched layer (PML) is formulated, and the absorption performance is demonstrated. Finally, the propagation in an inhomogeneous medium is computed by using the proposed method, and it is observed that in the CIP-BS method, smooth variation of material constants is effectively formulated without additional computational costs, and that accurate results are obtained in comparison with the FDTD method even if the permittivity is high.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/transele.E97.C.26/_p

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@ARTICLE{e97-c_1_26,
author={Yoshiaki ANDO, Yusuke TAKAHASHI, },
journal={IEICE TRANSACTIONS on Electronics},
title={CIP Basis Set Method for Electromagnetic Simulation},
year={2014},
volume={E97-C},
number={1},
pages={26-32},
abstract={This paper presents an application of the constained interpolation profile basis set (CIP-BS) method to electromagnetic fields analyses. Electromagnetic fields can be expanded in terms of multi-dimensional CIP basis functions, and the Galerkin method can then be applied to obtain a system of linear equations. In the present study, we focus on a two-dimensional problem with TM_z polarization. In order to examine the precision of the CIP-BS method, TE₂₀₂ resonant mode in a rectangular cavity is analyzed. The numerical results show that CIP-BS method has better performance than the finite-difference time-domain (FDTD) method when the time step is small. Then an absorbing boundary condition based on the perfectly matched layer (PML) is formulated, and the absorption performance is demonstrated. Finally, the propagation in an inhomogeneous medium is computed by using the proposed method, and it is observed that in the CIP-BS method, smooth variation of material constants is effectively formulated without additional computational costs, and that accurate results are obtained in comparison with the FDTD method even if the permittivity is high.},
keywords={},
doi={10.1587/transele.E97.C.26},
ISSN={1745-1353},
month={January},}

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TY - JOUR
TI - CIP Basis Set Method for Electromagnetic Simulation
T2 - IEICE TRANSACTIONS on Electronics
SP - 26
EP - 32
AU - Yoshiaki ANDO
AU - Yusuke TAKAHASHI
PY - 2014
DO - 10.1587/transele.E97.C.26
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E97-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2014
AB - This paper presents an application of the constained interpolation profile basis set (CIP-BS) method to electromagnetic fields analyses. Electromagnetic fields can be expanded in terms of multi-dimensional CIP basis functions, and the Galerkin method can then be applied to obtain a system of linear equations. In the present study, we focus on a two-dimensional problem with TM_z polarization. In order to examine the precision of the CIP-BS method, TE₂₀₂ resonant mode in a rectangular cavity is analyzed. The numerical results show that CIP-BS method has better performance than the finite-difference time-domain (FDTD) method when the time step is small. Then an absorbing boundary condition based on the perfectly matched layer (PML) is formulated, and the absorption performance is demonstrated. Finally, the propagation in an inhomogeneous medium is computed by using the proposed method, and it is observed that in the CIP-BS method, smooth variation of material constants is effectively formulated without additional computational costs, and that accurate results are obtained in comparison with the FDTD method even if the permittivity is high.
ER -