Open AccessShort wave diffraction on a contour with a Hölder singularity of the curvature
Author(s) -
Ekaterina A. Zlobina,
A. A. Kiselev
Publication year - 2022
Publication title -
st. petersburg mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.328
H-Index - 20
eISSN - 1547-7371
pISSN - 1061-0022
DOI - 10.1090/spmj/1697
Subject(s) - mathematics , singularity , diffraction , curvature , mathematical analysis , singular point of a curve , plane wave , boundary (topology) , geometry , plane (geometry) , point (geometry) , optics , physics
Formulas are constructed for the short-wave asymptotics in the problem of diffraction of a plane wave on a contour with continuous curvature that is smooth everywhere except for one point near which it has a power-like behavior. The wave field is described in the boundary layers surrounding the singular point of the contour and the limit ray. An expression for the diffracted wave is found.