Application of micro-genetic algorithm for artificial anisotropy ADI-FDTD method

Yan Zhang; Shan Wei Lü; Jun Zhang

doi:10.1109/CJMW.2008.4772366

Application of micro-genetic algorithm for artificial anisotropy ADI-FDTD method

Yan Zhang^*
, Shan Wei Lü
, Jun Zhang

^*Corresponding author for this work

Beihang University

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

Abstract

A new method to reduce the numerical dispersion of the conventional altemating-direction-implicit finite-difference time-domain (ADI-FDTD) method is proposed. Firstly, the numerical formulations are modified with the artificial anisotropy, and the numerical dispersion relation is derived. Secondly, the relative permittivity tensor of the artificial anisotropy can be obtained by the micro-genetic algorithm (MGA), which is a genetic algorithm with a very small population. Then, the capabilities and potentialities of this new method are demonstrated numerically using two non-uniformmesh examples. And the numerical results of the proposed method are compared with those of the FDTD method, the conventional ADI-FDTD method, and the measured data, respectively. Furthermore, the reduction of the numerical dispersion is investigated as the objective function of the MGA. It is found that this new method is accurate and efficient by choosing proper objective function.

Original language	English
Title of host publication	Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008
Pages	17-21
Number of pages	5
DOIs	https://doi.org/10.1109/CJMW.2008.4772366
Publication status	Published - 2008
Externally published	Yes
Event	2008 China-Japan Joint Microwave Conference, CJMW 2008 - Shanghai, China Duration: 10 Sept 2008 → 12 Sept 2008

Publication series

Name	Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008

Conference

Conference	2008 China-Japan Joint Microwave Conference, CJMW 2008
Country/Territory	China
City	Shanghai
Period	10/09/08 → 12/09/08

Access to Document

10.1109/CJMW.2008.4772366

Cite this

@inproceedings{649ba17e82b946cdaf964a6ac683b85a,

title = "Application of micro-genetic algorithm for artificial anisotropy ADI-FDTD method",

abstract = "A new method to reduce the numerical dispersion of the conventional altemating-direction-implicit finite-difference time-domain (ADI-FDTD) method is proposed. Firstly, the numerical formulations are modified with the artificial anisotropy, and the numerical dispersion relation is derived. Secondly, the relative permittivity tensor of the artificial anisotropy can be obtained by the micro-genetic algorithm (MGA), which is a genetic algorithm with a very small population. Then, the capabilities and potentialities of this new method are demonstrated numerically using two non-uniformmesh examples. And the numerical results of the proposed method are compared with those of the FDTD method, the conventional ADI-FDTD method, and the measured data, respectively. Furthermore, the reduction of the numerical dispersion is investigated as the objective function of the MGA. It is found that this new method is accurate and efficient by choosing proper objective function.",

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

year = "2008",

doi = "10.1109/CJMW.2008.4772366",

language = "English",

isbn = "9787811181630",

series = "Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008",

pages = "17--21",

booktitle = "Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008",

note = "2008 China-Japan Joint Microwave Conference, CJMW 2008 ; Conference date: 10-09-2008 Through 12-09-2008",

}

Zhang, Y, Lü, SW & Zhang, J 2008, Application of micro-genetic algorithm for artificial anisotropy ADI-FDTD method. in Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008., 4772366, Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008, pp. 17-21, 2008 China-Japan Joint Microwave Conference, CJMW 2008, Shanghai, China, 10/09/08. https://doi.org/10.1109/CJMW.2008.4772366

Application of micro-genetic algorithm for artificial anisotropy ADI-FDTD method. / Zhang, Yan; Lü, Shan Wei; Zhang, Jun.
Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008. 2008. p. 17-21 4772366 (Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008).

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

TY - GEN

T1 - Application of micro-genetic algorithm for artificial anisotropy ADI-FDTD method

AU - Zhang, Yan

AU - Lü, Shan Wei

AU - Zhang, Jun

PY - 2008

Y1 - 2008

N2 - A new method to reduce the numerical dispersion of the conventional altemating-direction-implicit finite-difference time-domain (ADI-FDTD) method is proposed. Firstly, the numerical formulations are modified with the artificial anisotropy, and the numerical dispersion relation is derived. Secondly, the relative permittivity tensor of the artificial anisotropy can be obtained by the micro-genetic algorithm (MGA), which is a genetic algorithm with a very small population. Then, the capabilities and potentialities of this new method are demonstrated numerically using two non-uniformmesh examples. And the numerical results of the proposed method are compared with those of the FDTD method, the conventional ADI-FDTD method, and the measured data, respectively. Furthermore, the reduction of the numerical dispersion is investigated as the objective function of the MGA. It is found that this new method is accurate and efficient by choosing proper objective function.

AB - A new method to reduce the numerical dispersion of the conventional altemating-direction-implicit finite-difference time-domain (ADI-FDTD) method is proposed. Firstly, the numerical formulations are modified with the artificial anisotropy, and the numerical dispersion relation is derived. Secondly, the relative permittivity tensor of the artificial anisotropy can be obtained by the micro-genetic algorithm (MGA), which is a genetic algorithm with a very small population. Then, the capabilities and potentialities of this new method are demonstrated numerically using two non-uniformmesh examples. And the numerical results of the proposed method are compared with those of the FDTD method, the conventional ADI-FDTD method, and the measured data, respectively. Furthermore, the reduction of the numerical dispersion is investigated as the objective function of the MGA. It is found that this new method is accurate and efficient by choosing proper objective function.

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DO - 10.1109/CJMW.2008.4772366

M3 - Conference contribution

AN - SCOPUS:65949086373

SN - 9787811181630

T3 - Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008

SP - 17

EP - 21

BT - Proceedings of 2008 China-Japan Joint Microwave Conference, CJMW 2008

T2 - 2008 China-Japan Joint Microwave Conference, CJMW 2008

Y2 - 10 September 2008 through 12 September 2008

ER -

Application of micro-genetic algorithm for artificial anisotropy ADI-FDTD method

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