Low numerical dispersion two-dimensional (2,4) ADI-FDTD method

M. K. Sun; Wai Yip Tam

doi:10.1109/TAP.2006.869940

Low numerical dispersion two-dimensional (2,4) ADI-FDTD method

M. K. Sun, Wai Yip Tam

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

6 Citations (Scopus)

Abstract

The numerical dispersion of the alternating direction implicit finite-difference time-domain (ADI-FDTD) method can be improved by approximating the spatial derivatives using the four-point centered finite-difference formula. However, the improvement is not significant when the time step size increases. In this paper, we develop a low numerical dispersion 2-D (2,4) ADI-FDTD method, by which the finite-difference operators are determined by minimizing the error terms in the numerical dispersion relation. The numerical dispersion error shown to be significantly reduced for any time-step size. In addition, there is an alternative method that results in zero numerical dispersion errors at a specified propagation angle. The numerical dispersion relation of the proposed method is investigated theoritically and compared with standards ADI-FDTD method as well as with the conventional FDTD method.

Original language	English
Pages (from-to)	1041-1044
Number of pages	4
Journal	IEEE Transactions on Antennas and Propagation
Volume	54
Issue number	3
DOIs	https://doi.org/10.1109/TAP.2006.869940
Publication status	Published - 1 Mar 2006

Keywords

Altenating direction implicit finite-difference time-domain (ADI-FDTD)
High-order
Numerical dispersion

ASJC Scopus subject areas

Electrical and Electronic Engineering
Computer Networks and Communications

More information

10.1109/TAP.2006.869940

Cite this

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abstract = "The numerical dispersion of the alternating direction implicit finite-difference time-domain (ADI-FDTD) method can be improved by approximating the spatial derivatives using the four-point centered finite-difference formula. However, the improvement is not significant when the time step size increases. In this paper, we develop a low numerical dispersion 2-D (2,4) ADI-FDTD method, by which the finite-difference operators are determined by minimizing the error terms in the numerical dispersion relation. The numerical dispersion error shown to be significantly reduced for any time-step size. In addition, there is an alternative method that results in zero numerical dispersion errors at a specified propagation angle. The numerical dispersion relation of the proposed method is investigated theoritically and compared with standards ADI-FDTD method as well as with the conventional FDTD method.",

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AU - Tam, Wai Yip

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N2 - The numerical dispersion of the alternating direction implicit finite-difference time-domain (ADI-FDTD) method can be improved by approximating the spatial derivatives using the four-point centered finite-difference formula. However, the improvement is not significant when the time step size increases. In this paper, we develop a low numerical dispersion 2-D (2,4) ADI-FDTD method, by which the finite-difference operators are determined by minimizing the error terms in the numerical dispersion relation. The numerical dispersion error shown to be significantly reduced for any time-step size. In addition, there is an alternative method that results in zero numerical dispersion errors at a specified propagation angle. The numerical dispersion relation of the proposed method is investigated theoritically and compared with standards ADI-FDTD method as well as with the conventional FDTD method.

AB - The numerical dispersion of the alternating direction implicit finite-difference time-domain (ADI-FDTD) method can be improved by approximating the spatial derivatives using the four-point centered finite-difference formula. However, the improvement is not significant when the time step size increases. In this paper, we develop a low numerical dispersion 2-D (2,4) ADI-FDTD method, by which the finite-difference operators are determined by minimizing the error terms in the numerical dispersion relation. The numerical dispersion error shown to be significantly reduced for any time-step size. In addition, there is an alternative method that results in zero numerical dispersion errors at a specified propagation angle. The numerical dispersion relation of the proposed method is investigated theoritically and compared with standards ADI-FDTD method as well as with the conventional FDTD method.

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KW - Numerical dispersion

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JO - IEEE Transactions on Antennas and Propagation

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Low numerical dispersion two-dimensional (2,4) ADI-FDTD method

Abstract

Keywords

ASJC Scopus subject areas

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