A three-dimensional finite-difference time-domain scheme based on a transversely extended-curl operator

Anastasios H. Panaretos; James Aberle; Rodolfo Diaz

doi:10.1109/TMTT.2006.885900

A three-dimensional finite-difference time-domain scheme based on a transversely extended-curl operator

Anastasios H. Panaretos, James Aberle, Rodolfo Diaz

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

12 Scopus citations

Abstract

In this paper, a three-dimensional finite-difference time-domain (FDTD) scheme is presented with improved isotropy characteristics and higher Courant number than the standard Yee scheme. The basic idea is to transversely extend the curl operator in order to improve the transverse Laplacian representation of the curl-curl operator. A stability analysis is performed, and the dispersion characteristics of the proposed scheme are investigated. It is shown that the latter is significantly more isotropic than the regular FDTD scheme. Additionally, it is proved that under certain conditions a unity Courant number can be achieved, and the resulting scheme is characterized by dispersion characteristics complementary to those of the regular FDTD scheme. Numerical simulations are performed that validate the theoretically derived results.

Original language	English (US)
Pages (from-to)	4237-4246
Number of pages	10
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	54
Issue number	12
DOIs	https://doi.org/10.1109/TMTT.2006.885900
State	Published - Dec 2006

Keywords

Curl operator
Finite-difference time-domain (FDTD) method
Laplacian operator

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1109/TMTT.2006.885900

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title = "A three-dimensional finite-difference time-domain scheme based on a transversely extended-curl operator",

abstract = "In this paper, a three-dimensional finite-difference time-domain (FDTD) scheme is presented with improved isotropy characteristics and higher Courant number than the standard Yee scheme. The basic idea is to transversely extend the curl operator in order to improve the transverse Laplacian representation of the curl-curl operator. A stability analysis is performed, and the dispersion characteristics of the proposed scheme are investigated. It is shown that the latter is significantly more isotropic than the regular FDTD scheme. Additionally, it is proved that under certain conditions a unity Courant number can be achieved, and the resulting scheme is characterized by dispersion characteristics complementary to those of the regular FDTD scheme. Numerical simulations are performed that validate the theoretically derived results.",

keywords = "Curl operator, Finite-difference time-domain (FDTD) method, Laplacian operator",

author = "Panaretos, {Anastasios H.} and James Aberle and Rodolfo Diaz",

note = "Funding Information: Manuscript received June 13, 2006; revised August 17, 2006. This work was supported by the Defense Advanced Research Projects Agency under Contract N00014-05-1-0221. The authors are with the Department of Electrical Engineering, Ira A. Fulton School of Engineering, Arizona State University, Tempe, AZ 85287-5706 USA (e-mail: tassos@asu.edu; aberle@asu.edu; rudydiaz@asu.edu). Color versions of Figs. 2, 3, 5, 7, and 8 are available online at http://ieeexplore. ieee.org. Digital Object Identifier 10.1109/TMTT.2006.885900 Copyright: Copyright 2011 Elsevier B.V., All rights reserved.",

year = "2006",

month = dec,

doi = "10.1109/TMTT.2006.885900",

language = "English (US)",

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AU - Panaretos, Anastasios H.

AU - Aberle, James

AU - Diaz, Rodolfo

N1 - Funding Information: Manuscript received June 13, 2006; revised August 17, 2006. This work was supported by the Defense Advanced Research Projects Agency under Contract N00014-05-1-0221. The authors are with the Department of Electrical Engineering, Ira A. Fulton School of Engineering, Arizona State University, Tempe, AZ 85287-5706 USA (e-mail: tassos@asu.edu; aberle@asu.edu; rudydiaz@asu.edu). Color versions of Figs. 2, 3, 5, 7, and 8 are available online at http://ieeexplore. ieee.org. Digital Object Identifier 10.1109/TMTT.2006.885900 Copyright: Copyright 2011 Elsevier B.V., All rights reserved.

PY - 2006/12

Y1 - 2006/12

N2 - In this paper, a three-dimensional finite-difference time-domain (FDTD) scheme is presented with improved isotropy characteristics and higher Courant number than the standard Yee scheme. The basic idea is to transversely extend the curl operator in order to improve the transverse Laplacian representation of the curl-curl operator. A stability analysis is performed, and the dispersion characteristics of the proposed scheme are investigated. It is shown that the latter is significantly more isotropic than the regular FDTD scheme. Additionally, it is proved that under certain conditions a unity Courant number can be achieved, and the resulting scheme is characterized by dispersion characteristics complementary to those of the regular FDTD scheme. Numerical simulations are performed that validate the theoretically derived results.

AB - In this paper, a three-dimensional finite-difference time-domain (FDTD) scheme is presented with improved isotropy characteristics and higher Courant number than the standard Yee scheme. The basic idea is to transversely extend the curl operator in order to improve the transverse Laplacian representation of the curl-curl operator. A stability analysis is performed, and the dispersion characteristics of the proposed scheme are investigated. It is shown that the latter is significantly more isotropic than the regular FDTD scheme. Additionally, it is proved that under certain conditions a unity Courant number can be achieved, and the resulting scheme is characterized by dispersion characteristics complementary to those of the regular FDTD scheme. Numerical simulations are performed that validate the theoretically derived results.

KW - Curl operator

KW - Finite-difference time-domain (FDTD) method

KW - Laplacian operator

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A three-dimensional finite-difference time-domain scheme based on a transversely extended-curl operator

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