曲率跳线衍射(一种特殊情况)

A. S. Kirpichnikova, V. Philippov
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引用次数: 0

摘要

考虑边界有曲率跳变的凸体对短波辐射的衍射。在横截面上,边界由两部分组成:凸面和平面,平滑地连接在一起。考虑了曲率跳变曲线衍射的一种特殊情况:跳变点位于半影区。利用渐近方法,我们得到了具有Dirichlet、Neumann和阻抗边界条件问题的主要近似波场的新公式。
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Diffraction by a line of jump of curvature (a special case)
We consider the diffraction of shortwave radiation by a convex body with the boundary having a jump of curvature. In cross-section the boundary consists of two parts: convex and planar, smoothly joined. A special case of diffraction by the curve with the curvature jump is under consideration: the jump point is situated in the penumbra region. Using asymptotic methods we obtain new formulae for the wave field in the main approximation in problems with Dirichlet, Neumann and impedance boundary conditions.
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