标题： 由正方形晶格上共线裂纹的衍射：一种迭代维纳-霍普夫方法 显示英文标题

标题： Diffraction by a set of collinear cracks on a square lattice: an iterative Wiener-Hopf method

摘要： 在正方形晶格中，时间谐波平面波对共线有限缺陷的衍射被研究。 此问题被简化为矩阵Wiener-Hopf方程。 本工作将最近开发的迭代Wiener-Hopf方法应用于这种情况。 该方法最初是受连续介质中波散射的启发，但此处表明它也可用于离散晶格设置。 数值结果通过使用离散格林函数的另一种方法进行验证。 与后一种方法不同，本文算法的复杂度被证明几乎与裂纹长度无关。 显示英文摘要

摘要： 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.