方格上一组共线裂纹的衍射：一种迭代 Wiener-Hopf 方法
Diffraction by a set of collinear cracks on a square lattice: an iterative Wiener-Hopf method
AI总结：
本文研究方格上共线有限缺陷的时谐平面波衍射，将其归约为矩阵 Wiener-Hopf 方程，并采用迭代 Wiener-Hopf 方法求解，其算法复杂度几乎与裂纹长度无关。
摘要：
本文研究了时谐平面波在方格上共线有限缺陷处的衍射。该问题被归约为矩阵 Wiener-Hopf 方程。本研究将近来开发的迭代 Wiener-Hopf 方法适用于此情形。该方法最初受连续介质中波散射的启发，但此处表明它同样能用于离散格设定。数值结果通过使用离散 Green 函数的另一种方法进行了验证。与后者不同，本文算法的复杂度被证明几乎与裂纹长度无关。
英文摘要：
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.
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