Boundary-layer approach to high-frequency diffraction by a jump of curvature

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...

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Bibliographic Details
Published in:Wave motion 2020-07, Vol.96, p.102571, Article 102571
Main Authors: Zlobina, Ekaterina A., Kiselev, Aleksei P.
Format: Article
Language:English
Subjects:
Boundary layer
Boundary layer method
Boundary layers
Contours
Curvature
Diffraction
High-frequency asymptotics
Incident waves
Non-smooth obstacles
Plane waves
Propagation
Shape
Smoothness
Wave diffraction
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Summary: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. •A systematic boundary-layer approach is applied to diffraction of a high-frequency plane wave by a contour with a jump of curvature.•Diffraction coefficient has 3rd order pole at direction of geometrical reflection.•In transition zone outgoing wavefield is described by parabolic cylinder function D−3.
ISSN:0165-2125
1878-433X
DOI:10.1016/j.wavemoti.2020.102571