Novel approach to construct temporal basis functions for time-domain integral equation method

IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229) Pub Date : 2001-07-08 DOI:10.1109/APS.2001.959426

Jin-Lin Hu, C. Chan

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引用次数: 4

Abstract

Time-domain integral equation (TDIE) methods, for the solution of transient electromagnetic problems have steadily increased in popularity. A novel construction method is presented to design the new temporal basis function. We first specify the principal properties of the desirable temporal basis function. According to these properties and choosing a suitable function with some parameters, we construct a nonlinear programming problem with respect to these parameters, from which the new temporal basis function can be derived. The obtained temporal function has the any-order continuous derivative and is not a truncated version of any function. By using the construction method, a new temporal function, namely, the rational fractional temporal function, is also presented. The numerical result shows that the new temporal function pushes the occurrence of the late-time instability of the transient simulation further down in time when compared to the previous temporal functions.

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时域积分方程法中构造时间基函数的新方法

时域积分方程(TDIE)方法，作为求解瞬变电磁问题的一种方法，得到了越来越广泛的应用。提出了一种新的构造方法来设计新的时基函数。我们首先指定所需时基函数的主要性质。根据这些性质，选择合适的函数和一些参数，构造了一个关于这些参数的非线性规划问题，由此可以得到新的时间基函数。所得到的时间函数具有任意阶连续导数，并且不是任何函数的截断版本。利用构造方法，提出了一种新的时间函数，即有理分数时间函数。数值结果表明，与以前的时间函数相比，新的时间函数将瞬态模拟的后时不稳定性的发生时间进一步推低。

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. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229)

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