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Efficient compact 2-D time-domain method with weighted Laguerre polynomials

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4 Author(s)
Wei Shao ; Inst. of Appl. Phys., Univ. of Electron. Sci. & Technol. of China, Chengdu, China ; Bing-Zhong Wang ; Xiao-Hua Wang ; Xiao-Fei Liu

An efficient time-domain method based on a compact two-dimensional (2-D) finite-difference time-domain (FDTD) method combined with weighted Laguerre polynomials has been proposed to analyze the propagation properties of uniform transmission lines. Starting from Maxwell's differential equations corresponding to the compact 2-D FDTD method, we use the orthonormality of weighted Laguerre polynomials and Galerkin's testing procedure to eliminate the time variable. Thus, an implicit relation, which results in a marching-on-in-degree scheme, can be obtained. To verify the accuracy and efficiency of the hybrid method, we compare the results with those from the conventional compact 2-D FDTD and compact 2-D alternating-direction-implicit (ADI) FDTD methods. The hybrid method improves the computational efficiency notably, especially for complex problems with fine structure details that are restricted by stability constrains in the FDTD method

Published in:

IEEE Transactions on Electromagnetic Compatibility  (Volume:48 ,  Issue: 3 )