论文标题
重新审视了Malyuzhinets-Popov衍射问题
The Malyuzhinets-Popov diffraction problem revisited
论文作者
论文摘要
在本文中，沿平面凸轮廓的平面边界的飞机波的高频衍射，使曲率经历跳跃的情况，是渐近分析的。开发了一种修改Fock抛物线方程方法的方法。衍生出照明区域，阴影和半月的波场的渐近公式。半月场的特征是类似于Fock积分的新颖且以前看不见的特殊功能。
In this paper, the high-frequency diffraction of a plane wave incident along a planar boundary turning into a smooth convex contour, so that the curvature undergoes a jump, is asymptotically analysed. An approach modifying the Fock parabolic-equation method is developed. Asymptotic formulas for the wavefield in the illuminated area, shadow, and the penumbra are derived. The penumbral field is characterized by novel and previously unseen special functions that resemble Fock's integrals.
