Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition - Archive ouverte HAL Access content directly
Journal Articles Archive for Rational Mechanics and Analysis Year : 2015

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

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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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Dates and versions

hal-01086033 , version 1 (26-11-2014)
hal-01086033 , version 2 (17-06-2015)

Identifiers

  • HAL Id : hal-01086033 , version 2

Cite

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, 2015, pp.10.1007/s00205-015-0897-3. ⟨hal-01086033v2⟩
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