SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 60-90, January 2021.
In this paper, we revisit Radlow's highly original attempt at a double Wiener--Hopf solution to the canonical problem of wave diffraction by a quarter-plane. Using a constructive approach, we reduce the problem to two equations, one containing his somewhat controversial ansatz, and an additional compatibility equation. We then show that despite Radlow's ansatz being erroneous, it gives surprisingly accurate results in the far-field, particularly for the spherical diffraction coefficient. This unexpectedly good result is established by comparing it to results obtained by the recently established modified Smyshlyaev formulae.

中文翻译：

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四分之一平面衍射问题的令人惊讶的观察

SIAM应用数学杂志，第81卷，第1期，第60-90页，2021
年1月。在本文中，我们将重新审视Radlow最初针对四分之一平面波衍射的经典问题的双重Wiener-Hopf解的尝试。 。使用一种建设性的方法，我们将该问题简化为两个方程，一个方程包含他颇有争议的ansatz，以及一个附加的兼容性方程。然后我们表明，尽管拉德洛的ansatz是错误的，但它在远场中给出了令人惊讶的准确结果，尤其是对于球形衍射系数。通过将其与最近建立的修改后的Smyshlyaev公式所获得的结果进行比较，可以建立这种出乎意料的好结果。