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Parametric representation of wave propagation in non‐uniform media (both in transmission and stop bands)
Authors:A Popov  V Kovalchuk
Institution:1. Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, , Troitsk, Moscow Region, 142190 Russia;2. Institute of Fundamental Technological Research, Polish Academy of Sciences, , 02‐106 Warsaw, Poland
Abstract:An analytical approach based on the parametric representation of the wave propagation in non‐uniform media was considered. In addition to the previously developed theory of parametric antiresonance describing the field attenuation in stop bands, in the present paper, the behaviour of the Bloch wave in a transmission band was investigated. A wide class of exact solutions was found, and the correspondence to the quasi‐periodic Floquet solutions was shown. Copyright © 2012 John Wiley & Sons, Ltd.
Keywords:Floquet theorem  parametric resonance/antiresonance  wave propagation  non‐uniform media  periodic structures  stop and transmission bands
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