Solutions of the Time-Harmonic Wave Equation in Periodic Waveguides: Asymptotic Behaviour and Radiation Condition

Sonia Fliss; Patrick Joly

doi:10.1007/s00205-015-0897-3

Solutions of the Time-Harmonic Wave Equation in Periodic Waveguides: Asymptotic Behaviour and Radiation Condition

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Résumé

In this paper, we give the expression and the asymptotic behaviour of the physical solution of a time harmonic wave equation set in a periodic waveguide. This enables us to define a radiation condition and show well-posedness of the Helmholtz equation set in a periodic waveguide.

langue originale	Anglais
Pages (de - à)	349-386
Nombre de pages	38
journal	Archive for Rational Mechanics and Analysis
Volume	219
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s00205-015-0897-3
état	Publié - 1 janv. 2016

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title = "Solutions of the Time-Harmonic Wave Equation in Periodic Waveguides: Asymptotic Behaviour and Radiation Condition",

abstract = "In this paper, we give the expression and the asymptotic behaviour of the physical solution of a time harmonic wave equation set in a periodic waveguide. This enables us to define a radiation condition and show well-posedness of the Helmholtz equation set in a periodic waveguide.",

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Solutions of the Time-Harmonic Wave Equation in Periodic Waveguides: Asymptotic Behaviour and Radiation Condition

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