| 1. | Popov A.♦, Kovalchuk V., Parametric representation of wave propagation in non-uniform media (both in transmission and stop bands), MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 0170-4214, DOI: 10.1002/mma.2687, Vol.36, No.11, pp.1350-1362, 2013 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. Keywords:Floquet theorem, parametric resonance/antiresonance, wave propagation, non-uniform media, periodic structures, stop and transmission bands Affiliations:| Popov A. | - | Pushkov Institute of Terrestrial Magnetism, Ionosphere and RadioWave Propagation, Russian Academy of Sciences (RU) | | Kovalchuk V. | - | IPPT PAN |
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