Trapped rays in cylindrically symmetric media and poles of the analytically continued resolvent

DOI10.1006/JMAA.1997.5384zbMath0876.35017OpenAlexW1974747284MaRDI QIDQ1359621

David W. Pravica

Publication date: 25 November 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5384

zbMATH Keywords

fiber opticsRiemann sheetenergy decay estimatesresonant-traveling modesVirial condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Geometric optics (78A05)

Related Items (2)

Spectral resonances which become eigenvalues ⋮ Propagation estimates for dispersive wave equations: Application to the stratified wave equation

Cites Work

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• Sound propagation in stratified fluids
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• Stark ladder resonances for small electric fields
• A note on the absence of resonances for Schrödinger operators
• High energy decay estimates for waves in a locally perturbed medium
• Resonance phenomena in cylindrical waveguides
• Shape resonances: A comparison between parabolic and flat bottom potentials
• Spectral analysis of the Epstein operator
• Trapped rays in spherically symmetric media and poles of the scattering matrix

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