Special function related to the scattering of the whispering gallery mode at a point of local straightening

DOI10.1007/S10958-005-0231-YzbMath1121.33020OpenAlexW2003798820MaRDI QIDQ997766

J. Martínez

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0231-y

zbMATH Keywords

asymptotic behavioursaddle pointAiry functionSpecial function

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Other wave functions (33E15)

Related Items (2)

Contour integral solutions of the parabolic wave equation ⋮ ``Separation of variables in the model problems of the diffraction theory. A formal scheme

Cites Work

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• Whispering gallery waves in a neighborhood of a flat point of a concave boundary
• Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I: Asymptotics in the shadow zone
• Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as t\(\to \infty\)
• Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary

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