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Critical analysis of Yee and matched layers absorbing boundary conditions for 2-D and 3-D applications of the FDTD method

机译:对FDTD方法在2-D和3-D应用中吸收边界条件的Yee和匹配层的临界分析

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Since Yee defined the basic cell for the finite difference time domain (FDTD) technique in 1966, applications of FDTD have been adopted widely, which provide not only insights of the wave behavior in time domain but also wide band frequency domain information using Fourier transforms. The FDTD technique is based on the finite difference approximations of Maxwell's differential equations in both spatial field arrangements and time difference. Since the storage space available for computed fields in computers is finite, there is a need to truncate the problem space using absorbing boundary conditions (ABCs) that simulate continuous wave propagation on the truncation interfaces. Many ABCs have been introduced in the last few years; however, there is no reflectionless absorbing boundary. Two and three dimensional numerical absorbers, matched layers (ML) similar to those presented by Holland and Williams (1983) and by Reineix and Jecko (1989), and Yee's tapered damping function ABC are presented and critically evaluated.
机译:自从Yee在1966年定义了时差有限时域(FDTD)技术的基本单元以来,FDTD的应用已被广泛采用,这不仅提供了时域中波行为的见解,而且还提供了使用傅立叶变换的宽带频域信息。 FDTD技术基于麦克斯韦微分方程在空间场布置和时间差方面的有限差分近似。由于计算机中可用于计算字段的存储空间是有限的,因此需要使用吸收边界条件(ABC)来截断问题空间,该边界条件模拟了截断界面上连续波的传播。最近几年引入了许多ABC。但是,没有无反射吸收边界。提出并严格评估了二维和三维数值吸收器,与Holland和Williams(1983)以及Reineix和Jecko(1989)提出的匹配层(ML)以及Yee的锥形阻尼函数ABC。

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