HIGH-ORDER UNCONDITIONALLY-STABLE FOUR-STEP ADI-FDTD METHODS AND NUMERICAL ANALYSIS
HIGH-ORDER UNCONDITIONALLY-STABLE FOUR-STEP ADI-FDTD METHODS AND NUMERICAL ANALYSIS
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DOI：
10.2528/pier12102205
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发表时间：
2013
影响因子：
6.7
通讯作者：
Yong-Dan Kong;Q. Chu;Ronglin Li
中科院分区：
文献类型：
--
作者：
Yong-Dan Kong;Q. Chu;Ronglin Li
High-order unconditionally-stable three-dimensional (3-D) four-step alternating direction implicit flnite-difierence time-domain (ADI-FDTD) methods are presented. Based on the exponential evolution operator (EEO), the Maxwell's equations in a matrix form can be split into four sub-procedures. Accordingly, the time step is divided into four sub-steps. In addition, high-order central flnite-difierence operators based on the Taylor central flnite-difierence method are used to approximate the spatial difierential operators flrst, and then the uniform formulation of the proposed high-order schemes is generalized. Subsequently, the analysis shows that all the proposed high-order methods are unconditionally stable. The generalized form of the dispersion relations of the proposed high-order methods is carried out. Finally, in order to demonstrate the validity of the proposed methods, numerical experiments are presented. Furthermore, the efiects of the order of schemes, the propagation angle, the time step, and the mesh size on the dispersion are illustrated through numerical results. Speciflcally, the normalized numerical phase velocity error (NNPVE) and the maximum NNPVE of the proposed schemes are lower than that of the traditional ADI-FDTD method.
