Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition

Sonia Fliss 1, * Patrick Joly 1
* Corresponding author
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
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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Sonia Fliss, Patrick Joly. Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition. Archive for Rational Mechanics and Analysis, Springer Verlag, 2015, pp.10.1007/s00205-015-0897-3. ⟨hal-01086033v2⟩

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