Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as t\(\to \infty\)

DOI10.1007/BF01084159zbMath0584.35099MaRDI QIDQ1070461

M. M. Popov

Publication date: 1986

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

zbMATH Keywords

asymptoticswave fieldwhispering-gallery wave

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

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 ⋮ The Malyuzhinets-Popov diffraction problem revisited ⋮ Contour integral solutions of the parabolic wave equation ⋮ Special function related to the scattering of the whispering gallery mode at a point of local straightening ⋮ Direction diagram of radiation in the problem of an inflection point of the boundary

Cites Work

• Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary
• Unnamed Item

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