A Simple Approximation Formula for Numerical Dispersion Error in 2-D and 3-D FDTD Method
Summary :
The finite-difference time-domain (FDTD) method has been widely used in recent years to analyze the propagation and scattering of electromagnetic waves. Because the FDTD method has second-order accuracy in space, its numerical dispersion error arises from truncated higher-order terms of the Taylor expansion. This error increases with the propagation distance in cases of large-scale analysis. The numerical dispersion error is expressed by a dispersion relation equation. It is difficult to solve this nonlinear equation which have many parameters. Consequently, a simple formula is necessary to substitute for the dispersion relation error. In this study, we have obtained a simple formula for the numerical dispersion error of 2-D and 3-D FDTD method in free space propagation.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E99-C No.7 pp.793-796
- Publication Date
- 2016/07/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E99.C.793
- Type of Manuscript
- BRIEF PAPER
- Category
Authors
Jun SONODA
Sendai College
Keimei KAINO
Sendai College
Motoyuki SATO
Tohoku University
Keyword
Latest Issue
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Jun SONODA, Keimei KAINO, Motoyuki SATO, "A Simple Approximation Formula for Numerical Dispersion Error in 2-D and 3-D FDTD Method" in IEICE TRANSACTIONS on Electronics,
vol. E99-C, no. 7, pp. 793-796, July 2016, doi: 10.1587/transele.E99.C.793.
Abstract: The finite-difference time-domain (FDTD) method has been widely used in recent years to analyze the propagation and scattering of electromagnetic waves. Because the FDTD method has second-order accuracy in space, its numerical dispersion error arises from truncated higher-order terms of the Taylor expansion. This error increases with the propagation distance in cases of large-scale analysis. The numerical dispersion error is expressed by a dispersion relation equation. It is difficult to solve this nonlinear equation which have many parameters. Consequently, a simple formula is necessary to substitute for the dispersion relation error. In this study, we have obtained a simple formula for the numerical dispersion error of 2-D and 3-D FDTD method in free space propagation.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E99.C.793/_p
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@ARTICLE{e99-c_7_793,
author={Jun SONODA, Keimei KAINO, Motoyuki SATO, },
journal={IEICE TRANSACTIONS on Electronics},
title={A Simple Approximation Formula for Numerical Dispersion Error in 2-D and 3-D FDTD Method},
year={2016},
volume={E99-C},
number={7},
pages={793-796},
abstract={The finite-difference time-domain (FDTD) method has been widely used in recent years to analyze the propagation and scattering of electromagnetic waves. Because the FDTD method has second-order accuracy in space, its numerical dispersion error arises from truncated higher-order terms of the Taylor expansion. This error increases with the propagation distance in cases of large-scale analysis. The numerical dispersion error is expressed by a dispersion relation equation. It is difficult to solve this nonlinear equation which have many parameters. Consequently, a simple formula is necessary to substitute for the dispersion relation error. In this study, we have obtained a simple formula for the numerical dispersion error of 2-D and 3-D FDTD method in free space propagation.},
keywords={},
doi={10.1587/transele.E99.C.793},
ISSN={1745-1353},
month={July},}
Copy
TY - JOUR
TI - A Simple Approximation Formula for Numerical Dispersion Error in 2-D and 3-D FDTD Method
T2 - IEICE TRANSACTIONS on Electronics
SP - 793
EP - 796
AU - Jun SONODA
AU - Keimei KAINO
AU - Motoyuki SATO
PY - 2016
DO - 10.1587/transele.E99.C.793
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E99-C
IS - 7
JA - IEICE TRANSACTIONS on Electronics
Y1 - July 2016
AB - The finite-difference time-domain (FDTD) method has been widely used in recent years to analyze the propagation and scattering of electromagnetic waves. Because the FDTD method has second-order accuracy in space, its numerical dispersion error arises from truncated higher-order terms of the Taylor expansion. This error increases with the propagation distance in cases of large-scale analysis. The numerical dispersion error is expressed by a dispersion relation equation. It is difficult to solve this nonlinear equation which have many parameters. Consequently, a simple formula is necessary to substitute for the dispersion relation error. In this study, we have obtained a simple formula for the numerical dispersion error of 2-D and 3-D FDTD method in free space propagation.
ER -
English
