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GENETIC ALGORITHM IN REDUCTION OF NUMERICAL DISPERSION OF 3-D ADI-FDTD METHOD
作者姓名:Zhang Yan  Lü Shanwei  Gao Wenjun
作者单位:Zhang Yan L Shanwei Gao Wenjun(School of Electronics and Information Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China) (Institute of Electronics,Chinese Academy of Sciences,Beijing 100080,China)
基金项目:Supported by the National Natural Science Foundation of China (No. 60271012) and Research Foundation of ZTE Corporation.
摘    要: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.

关 键 词:三维ADI-FDTD法  数值色散  遗传算法  人工各向异性  隐式交替方向
收稿时间:10 November 2005
修稿时间:2005-11-102006-06-30

Genetic algorithm in reduction of numerical dispersion of 3-D ADI-FDTD method
Zhang?Yan,Lü?Shanwei,Gao?Wenjun.GENETIC ALGORITHM IN REDUCTION OF NUMERICAL DISPERSION OF 3-D ADI-FDTD METHOD[J].Journal of Electronics,2007,24(3):380-383.
Authors:Zhang Yan  Lü Shanwei  Gao Wenjun
Affiliation:1. School of Electronics and Information Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China
2. Institute of Electronics,Chinese Academy of Sciences,Beijing 100080,China
Abstract:A new method to reduce the numerical dispersion of the three-dimensional Alternating Di-rection 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 demon-strate the accuracy and efficiency of this new method,a monopole antenna is simulated as an exam-ple. And the numerical results and the computational requirements of the proposed method are com-pared with those of the conventional ADI-FDTD method and the measured data. In addition the re-duction 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.
Keywords:Finite-Difference Time-Domain (FDTD)  Alternating-Direction Implicit (ADI)  Numeri-cal dispersion  Artificial anisotropy  Genetic Algorithm (GA)
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