Resonance phenomena in cylindrical waveguides

DOI10.1016/0022-247X(87)90246-0zbMath0617.35028OpenAlexW2039947252MaRDI QIDQ1821949

Peter Werner

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90246-0

zbMATH Keywords

Helmholtz equationresolventsDirichletNeumannspectral familiestemporal periodic excitationwaveguide fieldswaveguide wall

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Initial value problems for second-order hyperbolic equations (35L15) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (9)

On spectral properties of the acoustic propagator in a layered band ⋮ Trapped rays in cylindrically symmetric media and poles of the analytically continued resolvent ⋮ Aperiodic electromagnetic waves in exterior domains ⋮ Resonances and standing waves ⋮ Elastic and electro-magnetic waves in infinite waveguides ⋮ Aperiodic electromagnetic waves in cylindrical waveguides ⋮ Unnamed Item ⋮ Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance ⋮ Resonance Phenomena in Local Perturbations of Parallel-plane Waveguides

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral properties of the Laplace operator with respect to electric and magnetic boundary conditions
• Regularity properties of the Laplace operator with respect to electric and magnetic boundary conditions
• Self-adjoint extensions of the Laplace operator with respect to electric and magnetic boundary conditions
• Aperiodic electromagnetic waves in cylindrical waveguides
• Ein resonanzphänomen in der theorie akustischer und elektromagnetischer wellen
• Zur Asymptotik der wellengleichung und der wärmeleitungsgleichung in zweidimensionalen außenräumen
• The principle of limiting absorption
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
• Exponential decay of solutions of the wave equation
• The limiting amplitude principle
• THE PRINCIPLE OF LIMIT AMPLITUDE

This page was built for publication: Resonance phenomena in cylindrical waveguides