Improved Version of the Second-Order Mur Absorbing Boundary Condition Based on a Nonstandard Finite Difference Model

Improved Version of the Second-Order Mur Absorbing Boundary Condition Based on a Nonstandard Finite Difference Model
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发表时间:
2009
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通讯作者:
J. B. Cole;D. Zhu
J. B. Cole;D. Zhu
中科院分区:
其他
文献类型:
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作者:
J. B. Cole;D. Zhu

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−通常需要使用吸收边界条件(ABC)终止FDTD计算的计算域。完美匹配层(PML)是一种优秀的ABC,但它复杂且昂贵。典型地,需要至少8层来提供令人满意的吸收。因此,在100域中,少于84或59%的网格点可用。二阶Mur ABC只需要2层,但它的吸收对许多问题来说是不够的。在本文中,我们介绍了一个改进的版本的二阶Mur ABC的基础上的非标准有限差分(NSFD)模型,具有相同的低计算成本,但更好地吸收粗网格。
− It is often necessary to terminate the computational domain of an FDTD calculation with an absorbing boundary condition (ABC). The Perfectly Matched Layer (PML) is an excellent ABC, but it is complicated and costly. Typically at least 8 layers are needed to give satisfactory absorption. Thus in a 100 domain less than 84 or 59% of the grid points are usable. The second-order Mur ABC requires just 2 layers, but its absorption is inadequate for many problems. In this paper we introduce an improved version of the secondorder Mur ABC based on a nonstandard finite difference (NSFD) model which has the same low computational cost but with much better absorption on a coarse grid.