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Comments on 'A super absorbing boundary condition for the analysis of waveguide discontinuities with the finite-difference method' [and reply]

机译:评论“用有限差分法分析波导不连续性的超吸收边界条件” [和回复]

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For the original paper see ibid., vol. 7, p. 147-149 (June 1997). In the aforementioned work, it is pointed out that the authors may have overlooked the paper by Ramahi et al. (see IEEE Trans. Antennas and Propag., vol. 39, p. 350-353, Mar. 1991), which introduced a numerically derived Absorbing Boundary Condition (ABC) for the solution of open region scattering problems. In this paper, the idea was to present the unknown field or its derivative at a terminal node in terms of a weighted summation of neighboring nodes that lie in the interior. The weighting coefficients are solved for by representing the field at the terminal node in terms of a finite number of its spatial harmonics (three or five dominant harmonics). The concept was demonstrated by applying it to cylindrical harmonics in the context of the finite-element method, whereas the authors of the above paper considered planar waveguide harmonics in the context of the finite-difference method. The authors reply to this comment.
机译:对于原始论文,请参见同上,第一卷。 7,第147-149(1997年6月)。在上述工作中,指出作者可能忽略了Ramahi等人的论文。 (见IEEE Trans。Antennas and Propag。,第39卷,第350-353页,1991年3月),它引入了数值导出的吸收边界条件(ABC),用于解决开放区域散射问题。在本文中,其想法是根据位于内部的相邻节点的加权总和,在终端节点处呈现未知字段或其导数。通过用有限数量的空间谐波(三个或五个主谐波)表示终端节点处的场,可以解决加权系数的问题。通过在有限元方法的上下文中将其应用到圆柱谐波中,可以证明这一概念,而上述论文的作者在有限差分方法的背景下考虑了平面波导谐波。作者回复此评论。

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