Frequency degeneracy of acoustic waves in two-dimensional phononic crystals

Degeneracies of acoustic wave spectra in 2D phononic crystals (PC) and PC slabs are studied. A PC structure is constituted of parallel steel rods immersed into water and forming the quadratic lattice. Given the projection kz of the wave vector on the direction of rods, the bulk wave spectrum of the...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 92; no. 1; p. 012117
Main Authors Darinskii, A N, Clezio, E Le, Feuillard, G
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.12.2007
IOP Science
Subjects
Acoustic waves
Acoustics
Crystal structure
Engineering Sciences
Lattice vibration
Leaky modes
Materials
Physics
Propagation modes
Rods
Wave propagation
Wave spectra
Waveguides
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Summary:Degeneracies of acoustic wave spectra in 2D phononic crystals (PC) and PC slabs are studied. A PC structure is constituted of parallel steel rods immersed into water and forming the quadratic lattice. Given the projection kz of the wave vector on the direction of rods, the bulk wave spectrum of the infinite PC is a set of frequency surfaces fi(kx, ky), i = 1,2,..., where kx,y are the components of the wave vector in the plane perpendicular to the rods. An investigation is performed of the shape of frequency surfaces in the vicinity of points (kdx, kdy), where these surfaces fall into contact. In addition, the evolution of the degeneracy with changing rod radius and cross-section shape is examined. Degeneracy in the spectrum of leaky modes propagating along a single waveguide in a PC slab is also investigated.
ISSN:1742-6596
1742-6588
1742-6596
1742-6588
DOI:10.1088/1742-6596/92/1/012117