The Riemann-Volterra time-domain technique for waveguides: a case study for elliptic geometry

DOI10.1016/J.WAVEMOTI.2011.12.001zbMath1360.35114OpenAlexW2095181666MaRDI QIDQ526481

Andrei B. Utkin

Publication date: 15 May 2017

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0165212511001430

zbMATH Keywords

wave equationMathieu functionwaveguideincomplete separation of variables

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Antennas, waveguides in optics and electromagnetic theory (78A50) Lamé, Mathieu, and spheroidal wave functions (33E10)

Uses Software

• DLMF

Cites Work

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• On the controlled propagation of wave signals in a sinusoidally forced two-dimensional continuous Frenkel-Kontorova model
• Termination of the starting problem of dynamic expansion of a spherical cavity in an infinite elastic-perfectly-plastic medium
• Uniform Asymptotic Behaviour of Integrals of Bessel Functions with a Large Parameter in the Argument
• Spherical harmonic representation of the electromagnetic field produced by a moving pulse of current density
• On spherical harmonic representation of transient waves in dispersive media
• Hertzian electromagnetic potentials and associated gauge transformations

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