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| NUMERICAL STABILITY AND NUMERICAL DISPERSION OF CONFORMAL MAPPING FDTD ALGORITHM |
| Zhou Xiaojun①;Yu Zhiyuan②;Lin Weigan② |
| ①Dept.of Opto-electron.Tech.,Univ.of Electron.Sci.and Tech.of China,Chengdu 610054;②Institute of Applied Physics,Univ.of Electron.Sci.and Tech.of China,Chengdu,610054 |
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Abstract This paper proposes a new algorithm based on conformal mapping and FDTD method,and derives the numerical stability and numerical dispersion equations of conformal mapping FDTD algorithm.As an example,the relative errors of numerical wavelengths for TE modes in a circular waveguide in different cell number are calculated.The errors for different propagation constants and for different radius semicircle electric wall approaches to singularity at origin are analyzed.By selecting cell number appropriately,high accuracy can be obtained.
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Received: 08 October 1998
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2000, Vol. 22 
