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

DOI10.1016/J.WAVEMOTI.2020.102571OpenAlexW3018869486MaRDI QIDQ2659646

E. A. Zlobina, Aleksei P. Kiselev

Publication date: 26 March 2021

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2020.102571

zbMATH Keywords

diffractionhigh-frequency asymptoticsboundary layer methodnon-smooth obstacles

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Wave equation (35L05)

Related Items (3)

Short wave diffraction on a contour with a Hölder singularity of the curvature ⋮ The Malyuzhinets-Popov diffraction problem revisited ⋮ Short-wavelength diffraction by a contour with nonsmooth curvature. Boundary layer approach

Cites Work

• Some special solutions of the Helmholtz equation
• Diffraction at jump of curvature on an impedance boundary
• Reflection of a wave from a boundary composed of arcs of variable curvature
• Boundary layer problems in diffraction theory
• Diffraction by a line of curvature jump (a special case)
• The high‐frequency asymptotic field of a point source in an inhomogeneous medium
• Diffraction Coefficients for Higher Order Edges and Vertices
• Diffraction of creeping waves by a line of jump of curvature (a three-dimensional acoustic medium).
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary-layer approach to high-frequency diffraction by a jump of curvature