A gap in the continuous spectrum of an elastic waveguide

Sergey A. Nazarov

doi:10.1016/j.crme.2008.07.002

A gap in the continuous spectrum of an elastic waveguide
[Un gap dans le spectre continu d'un guide d'onde élastique]

Présenté par : Évariste Sanchez-Palencia

Sergey A. Nazarov ¹

¹ Institute of Mechanical Engineering Problems, V.O., Bol'shoi pr., 61, 199178, St.-Petersburg, Russia

Comptes Rendus. Mécanique, Volume 336 (2008) no. 10, pp. 751-756.

Abstract (VO)
Résumé

A periodic elastic waveguide is found out such that the continuous spectrum of the elasticity problem operator contains a gap. This effect can be used for constructing elastic wave filters.

On exhibe un guide périodique d'onde élastique tel que le spectre continu de l'opérateur du problème élastique contienne un gap. Cet effet peut être utilisé pour construire des filtres d'ondes elastiques.

Reçu le : 2008-05-15
Accepté le : 2008-05-30
Publié le : 2008-09-11

DOI : 10.1016/j.crme.2008.07.002

Keywords: Elastic periodic waveguide, Gap in continuous spectrum
Mots-clés : Guide périodique d'onde élastique, Gap dans un spectre continu

Affiliations des auteurs :

Sergey A. Nazarov ¹

¹ Institute of Mechanical Engineering Problems, V.O., Bol'shoi pr., 61, 199178, St.-Petersburg, Russia

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Sergey A. Nazarov. A gap in the continuous spectrum of an elastic waveguide. Comptes Rendus. Mécanique, Volume 336 (2008) no. 10, pp. 751-756. doi : 10.1016/j.crme.2008.07.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.07.002/

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Cité par

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Marcus Rosenberg; Jari Taskinen Some aspects of the Floquet theory for the heat equation in a periodic domain, Journal of Evolution Equations, Volume 24 (2024) no. 2, p. 24 (Id/No 23) | DOI:10.1007/s00028-024-00951-0 | Zbl:1548.35146
F. L. Bakharev; J. Taskinen Bands in the spectrum of a periodic elastic waveguide, ZAMP. Zeitschrift für angewandte Mathematik und Physik, Volume 68 (2017) no. 5, p. 27 (Id/No 102) | DOI:10.1007/s00033-017-0846-0 | Zbl:1378.35295
Sergey A. Nazarov; Keijo Ruotsalainen; Jari Taskinen Essential spectrum of a periodic elastic waveguide may contain arbitrarily many gaps, Applicable Analysis, Volume 89 (2010) no. 1, p. 109 | DOI:10.1080/00036810903479715
Sergei A Nazarov An example of multiple gaps in the spectrum of a periodic waveguide, Sbornik: Mathematics, Volume 201 (2010) no. 4, p. 569 | DOI:10.1070/sm2010v201n04abeh004082
Сергей Александрович Назаров; Sergei Aleksandrovich Nazarov Пример множественности лакун в спектре периодического волновода, Математический сборник, Volume 201 (2010) no. 4, p. 99 | DOI:10.4213/sm7547

Cité par 5 documents. Sources : Crossref, zbMATH

^⁎ The author gratefully acknowledges the support by N.W.O., the Netherlands Organization for Scientific Research.

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