Archive for Rational Mechanics and Analysis

, Volume 219, Issue 1, pp 349–386 | Cite as

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

Article

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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© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.POEMS, UMR CNRS-ENSTA Paristech-INRIAUniversité Paris SaclayPalaiseauFrance

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