Direction diagram of radiation in the problem of an inflection point of the boundary

DOI10.1007/BF01084160zbMath0584.35096OpenAlexW2070255634MaRDI QIDQ1070460

M. M. Popov, V. G. Krasavin

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084160

zbMATH Keywords

scattering amplituderay asymptoticswhispering-gallery waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Short-wave scattering near the boundary inflection point ⋮ The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity ⋮ Searchlight asymptotics for high-frequency scattering by boundary inflection ⋮ Contour integral solutions of the parabolic wave equation ⋮ Thin-layer solutions to the Helmholtz equation in three dimensions ⋮ Scattering amplitudes in a neighborhood of limit rays in short-wave diffraction by elongated bodies of revolution ⋮ Thin-layer solutions of the Helmholtz equation

Cites Work

• Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as t\(\to \infty\)
• Radiation field of whispering gallery waves over a concave-convex boundary
• Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary