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Genetic algorithm in reduction of numerical dispersion of 3-D ADI-FDTD method

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Journal of Electronics (China)

Abstract

A new method to reduce the numerical dispersion of the three-dimensional Alternating Direction Implicit Finite-Difference Time-Domain (3-D ADI-FDTD) method is proposed. Firstly, the numerical formulations of the 3-D ADI-FDTD method are modified with the artificial anisotropy, and the new numerical dispersion relation is derived. Secondly, the relative permittivity tensor of the artificial anisotropy can be obtained by the Adaptive Genetic Algorithm (AGA). In order to demonstrate the accuracy and efficiency of this new method, a monopole antenna is simulated as an example. And the numerical results and the computational requirements of the proposed method are compared with those of the conventional ADI-FDTD method and the measured data. In addition the reduction of the numerical dispersion is investigated as the objective function of the AGA. It is found that this new method is accurate and efficient by choosing proper objective function.

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Authors and Affiliations

  1. School of Electronics and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

    Zhang Yan, Lü Shanwei & Gao Wenjun

  2. Institute of Electronics, Chinese Academy of Sciences, Beijing, 100080, China

    Gao Wenjun

Authors
  1. Zhang Yan
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  2. Lü Shanwei
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  3. Gao Wenjun
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Corresponding author

Correspondence to Zhang Yan.

Additional information

Supported by the National Natural Science Foundation of China (No. 60271012) and Research Foundation of ZTE Corporation.

Communication author: Zhang Yan, born in 1980, male, Ph.D. candidate. School of Electronics and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China.

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Zhang, Y., Lü, S. & Gao, W. Genetic algorithm in reduction of numerical dispersion of 3-D ADI-FDTD method. J. of Electron.(China) 24, 380–383 (2007). https://doi.org/10.1007/s11767-005-0212-9

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  • DOI: https://doi.org/10.1007/s11767-005-0212-9

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