A diagonal translation operator for the fast evaluation of two-dimensional transient wave fields

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.1999.789561

M. Lu, J. Wang, A. A. Ergin, A. Michielssen

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引用次数: 2

Abstract

Accurate and efficient techniques for analyzing linear transient wave phenomena are of significant interest to many disciplines. Although integral equation based methods for analyzing two-dimensional (2D) transient phenomena have been studied extensively in the past they all suffer from a high computational complexity, which limits their application to practical problems. To accelerate the integral equation based analysis of three dimensional transient scattering phenomena, our group developed the three-dimensional plane wave time domain (PWTD) algorithm (Ergin et al., 1998). In this paper, we extend our previous work from three to two dimensions and propose a novel 2D PWTD algorithm that relies on a diagonal translation operator for the efficient evaluation of 2D wave fields. When used in conjunction with a marching-on-in-time (MOT) scheme, this algorithm drastically accelerates the integral equation based analysis of 2D transient scattering phenomena.

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二维瞬态波场快速求值的对角平移算子

准确而有效地分析线性瞬态波现象的技术是许多学科的重要兴趣。虽然基于积分方程的二维瞬态现象分析方法在过去已经得到了广泛的研究，但它们都具有较高的计算复杂度，这限制了它们在实际问题中的应用。为了加速基于积分方程的三维瞬态散射现象分析，本课题组开发了三维平面波时域(PWTD)算法(Ergin et al.， 1998)。在本文中，我们将之前的工作从三维扩展到二维，并提出了一种新的二维PWTD算法，该算法依赖于对角平移算子来有效地评估二维波场。当该算法与MOT (marching-on- time)方案结合使用时，可大大加快基于积分方程的二维瞬态散射现象分析。

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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