正方形晶格上一组共线裂缝的衍射：维纳-霍普夫迭代法

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-04-27 DOI:10.1016/j.wavemoti.2024.103332

Elena Medvedeva, Raphael Assier, Anastasia Kisil

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引用次数: 0

摘要

研究了时谐平面波在方形晶格中的共线有限缺陷上的衍射。该问题被简化为矩阵维纳-霍普夫方程。这项工作将最近开发的迭代 Wiener-Hopf 方法应用于这种情况。该方法的动机是连续介质中的波散射，但本文表明它也可用于离散晶格环境。数值结果与使用离散格林函数的另一种方法进行了验证。与后一种方法不同，本算法的复杂性几乎与裂缝长度无关。

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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Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method

The diffraction of a time-harmonic plane wave on collinear finite defects in a square lattice is studied. This problem is reduced to a matrix Wiener–Hopf equation. This work adapts the recently developed iterative Wiener–Hopf method to this situation. The method was motivated by wave scattering in continuous media but it is shown here that it can also be employed in a discrete lattice setting. The numerical results are validated against a different method using discrete Green’s functions. Unlike the latter approach, the complexity of the present algorithm is shown to be virtually independent of the length of the cracks.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.