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On the linear theory of waves in media with periodic structures

The dispersion properties of the elastic vibrations of a one-dimensional periodically-inhomogeneous chain are examined. It is shown that in both the acoustic and optical passbands both normal and anomalous dispersion branches are always generated in pairs. The amplitudes of the waves corresponding to these branches are mutually linked. Results are presented of experimental simulation in electric transmission lines with periodically varying parameters.

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Fulltext is also available at DOI: 10.1070/PU1991v034n09ABEH002477
PACS: 62.30.+d, 63.20.Dj (all)
DOI: 10.1070/PU1991v034n09ABEH002477
URL: https://ufn.ru/en/articles/1991/9/g/
Citation: Landa P S, Marchenko V F "On the linear theory of waves in media with periodic structures" Sov. Phys. Usp. 34 (9) 830–834 (1991)
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Оригинал: Ланда П С, Марченко В Ф «К линейной теории волн в средах с периодической структурой» УФН 161 (9) 201–209 (1991); DOI: 10.3367/UFNr.0161.199109g.0201

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