Formation of frequency pass and gap bands in an elastic waveguide with a system of obstacles

Autor:	Natalia Glushkova, Evgeny Glushkov, Jörg Wauer
Rok vydání:	2011
Předmět:	Physics Floquet theory Acoustics and Ultrasonics Transmission (telecommunications) law Plane (geometry) Numerical analysis Mathematical analysis Point (geometry) Waveguide Complex plane Excitation law.invention
Zdroj:	Acoustical Physics. 57:281-291
ISSN:	1562-6865 1063-7710
DOI:	10.1134/s1063771011010052
Popis:	Using a semianalytical solution to the problem of wave excitation in an elastically supported one-dimensional waveguide with a system of point obstacles, we analyze the relation between the observed effects of blocking-transmission and the discrete spectrum point distribution in the complex frequency plane. We check the assumption, stemming from earlier numerical analysis for two-dimensional elastic waveguides with extended obstacles, on whether the occurrence of transmission frequencies in the blocking range is related to the presence of close-to-the-real-axis points of a discrete spectrum. The number of such spectral points increases in proportion to the number of obstacles, giving in the limit continuous transmission bands described by the Bloch-Floquet theory for infinite periodic structures.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::10ad5420c4239c9ed6f12493df541b81 https://doi.org/10.1134/s1063771011010052 Zobrazit plný text záznamu Plný text ve formátu PDF