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

Sonia Fliss | Zendy; Patrick Joly | Zendy

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

Author(s) -

Sonia Fliss,

Patrick Joly

Publication year - 2015

Publication title -

archive for rational mechanics and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.933

H-Index - 106

eISSN - 1432-0673

pISSN - 0003-9527

DOI - 10.1007/s00205-015-0897-3

Subject(s) - helmholtz equation , waveguide , mathematical analysis , harmonic , wave equation , physics , periodic wave , radiation , mathematics , set (abstract data type) , optics , acoustics , computer science , traveling wave , programming language , boundary value problem

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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