FD-TD method with PMLs ABC based on the principles of multidimensional wave digital filters for discrete-time modelling of Maxwell's equations

作     者：Naka, Y Ikuno, H Nishimoto, M Yata, A 

作者机构：Kumamoto Univ Dept Elect & Comp Engn Kumamoto 8600862 Japan Kumamoto Univ Coll Med Sci Kumamoto 8620976 Japan 

出 版 物：《IEICE TRANSACTIONS ON ELECTRONICS》 (电子情报通信学会汇刊，英文版，C:电子学)

年 卷 期：1998年第E81C卷第2期

页      面：305-314页

核心收录：

学科分类：0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

主　　题：multidimensional wave digital filters finite-difference time-domain method perfectly matched layers numerical dispersion dielectric optical waveguide 

摘      要：We present a finite-difference time-domain (FD-TD) method with the perfectly matched layers (PMLs) absorbing boundary condition (ABC) based on the multidimensional wave digital filters (MD-WDFs) for discrete-time modelling of Maxwell s equations and show its effectiveness. First we propose modified forms of the Maxwell s equations in the PMLs and its MD-WDFs representation by using the current-controlled voltage sources. In order to estimate the lower bound of numerical errors which come from the discretization of the Maxwell s equations, we examine the numerical dispersion relation and show the advantage of the FD-TD method based on the MD-WDFs over the Yee algorithm. Simultaneously, we estimate numerical errors in practical problems as a function of grid cell size and show that the MD-WDFs can obtain highly accurate numerical solutions in comparison with the Yee algorithm. Then we ana lyze several typical dielectric optical waveguide problems such as the tapered waveguide and the grating filter, and confirm that the FD-TD method based on the MD-WDFs can also treat radiation and reflection phenomena, which commonly done using the Yee algorithm.