Abstract A systematic boundary-layer approach is for the first time applied to diffraction of a high-frequency plane wave by a contour with a jump of curvature. Assuming that the incident wave is non-tangent, we present a detailed description of the outgoing wavefield within a boundary layer surrounding the point of non-smoothness of the contour. This allows us to describe the wavefield within a transition zone surrounding the limit ray in terms of the parabolic cylinder function D − 3 which has not been previously encountered in high-frequency diffraction problems.

中文翻译：

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通过曲率跳跃实现高频衍射的边界层方法

摘要 系统边界层方法首次应用于具有曲率跳跃的等高线对高频平面波的衍射。假设入射波是非切线的，我们详细描述了围绕轮廓不平滑点的边界层内的出射波场。这使我们能够根据抛物线柱面函数 D - 3 来描述围绕极限射线的过渡区内的波场，这在之前的高频衍射问题中是没有遇到过的。