A new FDTD formulation with reduced dispersion for the simulation of wave propagation through inhomogeneous media

IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010) Pub Date : 1999-07-11 DOI:10.1109/APS.1999.789556

E. Forgy, W. Chew

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引用次数: 8

Abstract

A discrete vector calculus on a lattice is developed based on primary and dual lattices that support scalar as well as vector fields with collocated components. The resulting discrete vector calculus is applied to electromagnetic theory and is, by construction, consistent with both the integral and differential forms of Maxwell's equations. In its own right, the resulting discrete space-time (DST) method does not hold any particular advantage over the standard Yee algorithm other than improved stability. The the time-domain element (TDE) method is presented, which may be viewed as a reinterpretation and generalization of the Yee algorithm. The formulations of the TDE and DST methods are such that it combination of the two is quite transparent. The combined algorithm has the advantage in that it retains the local nature of each as well as taking advantage of the obvious complementarity of the two. The result is a robust, highly accurate, and efficient algorithm that inherently satisfies boundary conditions on dielectric interfaces.

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非均匀介质中波传播的一种新的时域有限差分公式

基于支持标量场和具有并置分量的向量场的主格和对偶格，发展了晶格上的离散向量微积分。所得到的离散向量微积分应用于电磁理论，并通过构造与麦克斯韦方程组的积分和微分形式相一致。就其本身而言，所得到的离散时空(DST)方法除了提高稳定性外，与标准Yee算法相比没有任何特别的优势。提出了时域元(TDE)方法，该方法可以看作是对Yee算法的重新解释和推广。TDE和DST方法的配方是这样的，两者的组合是相当透明的。该组合算法的优点是既保留了各自的局部特性，又利用了两者明显的互补性。结果是一种鲁棒、高精度和高效的算法，它本质上满足介电界面的边界条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010)

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