3-D higher-order ADI-FDTD method

Yan Zhang; Shan Wei Lü; Jun Zhang; Ming Hua Xue

doi:10.1109/APMC.2007.4554548

3-D higher-order ADI-FDTD method

Yan Zhang^*
, Shan Wei Lü
, Jun Zhang
, Ming Hua Xue

^*Corresponding author for this work

Beihang University

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

1 Citation (Scopus)

Abstract

In this paper, attention was focused on the 3-D higher-order alternating-direction implicit finite-difference time-domain (ADI-FDTD) method using the higher-order spatial difference. Firstly, the numerical formulation is presented. Secondly, the numerical dispersion relation is obtained analytically. And then the numerical dispersion is investigated as a function of the mesh resolution and the time step. Finally, three kinds of cavity problems are simulated as numerical examples. It is found that the higher-order ADI-FDTD method is more accurate than the conventional ADI-FDTD method. In addition, the proposed method does not encounter stable problem.

Original language	English
Title of host publication	2007 Asia-Pacific Microwave Conference, APMC
DOIs	https://doi.org/10.1109/APMC.2007.4554548
Publication status	Published - 2007
Externally published	Yes
Event	Asia-Pacific Microwave Conference, APMC 2007 - Bangkok, Thailand Duration: 11 Dec 2007 → 14 Dec 2007

Publication series

Name	Asia-Pacific Microwave Conference Proceedings, APMC

Conference

Conference	Asia-Pacific Microwave Conference, APMC 2007
Country/Territory	Thailand
City	Bangkok
Period	11/12/07 → 14/12/07

Keywords

ADI-FDTD method
Higher-order
Numerical dispersion

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10.1109/APMC.2007.4554548

Cite this

@inproceedings{598528213d0b44f3b67446a4d6533216,

title = "3-D higher-order ADI-FDTD method",

abstract = "In this paper, attention was focused on the 3-D higher-order alternating-direction implicit finite-difference time-domain (ADI-FDTD) method using the higher-order spatial difference. Firstly, the numerical formulation is presented. Secondly, the numerical dispersion relation is obtained analytically. And then the numerical dispersion is investigated as a function of the mesh resolution and the time step. Finally, three kinds of cavity problems are simulated as numerical examples. It is found that the higher-order ADI-FDTD method is more accurate than the conventional ADI-FDTD method. In addition, the proposed method does not encounter stable problem.",

keywords = "ADI-FDTD method, Higher-order, Numerical dispersion",

author = "Yan Zhang and L{\"u}, \{Shan Wei\} and Jun Zhang and Xue, \{Ming Hua\}",

year = "2007",

doi = "10.1109/APMC.2007.4554548",

language = "English",

isbn = "1424407494",

series = "Asia-Pacific Microwave Conference Proceedings, APMC",

booktitle = "2007 Asia-Pacific Microwave Conference, APMC",

note = "Asia-Pacific Microwave Conference, APMC 2007 ; Conference date: 11-12-2007 Through 14-12-2007",

}

TY - GEN

T1 - 3-D higher-order ADI-FDTD method

AU - Zhang, Yan

AU - Lü, Shan Wei

AU - Zhang, Jun

AU - Xue, Ming Hua

PY - 2007

Y1 - 2007

N2 - In this paper, attention was focused on the 3-D higher-order alternating-direction implicit finite-difference time-domain (ADI-FDTD) method using the higher-order spatial difference. Firstly, the numerical formulation is presented. Secondly, the numerical dispersion relation is obtained analytically. And then the numerical dispersion is investigated as a function of the mesh resolution and the time step. Finally, three kinds of cavity problems are simulated as numerical examples. It is found that the higher-order ADI-FDTD method is more accurate than the conventional ADI-FDTD method. In addition, the proposed method does not encounter stable problem.

AB - In this paper, attention was focused on the 3-D higher-order alternating-direction implicit finite-difference time-domain (ADI-FDTD) method using the higher-order spatial difference. Firstly, the numerical formulation is presented. Secondly, the numerical dispersion relation is obtained analytically. And then the numerical dispersion is investigated as a function of the mesh resolution and the time step. Finally, three kinds of cavity problems are simulated as numerical examples. It is found that the higher-order ADI-FDTD method is more accurate than the conventional ADI-FDTD method. In addition, the proposed method does not encounter stable problem.

KW - ADI-FDTD method

KW - Higher-order

KW - Numerical dispersion

UR - https://www.scopus.com/pages/publications/51849090615

U2 - 10.1109/APMC.2007.4554548

DO - 10.1109/APMC.2007.4554548

M3 - Conference contribution

AN - SCOPUS:51849090615

SN - 1424407494

SN - 9781424407491

T3 - Asia-Pacific Microwave Conference Proceedings, APMC

BT - 2007 Asia-Pacific Microwave Conference, APMC

T2 - Asia-Pacific Microwave Conference, APMC 2007

Y2 - 11 December 2007 through 14 December 2007

ER -

3-D higher-order ADI-FDTD method

Abstract

Publication series

Conference

Keywords

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