Channeled spectrum in the transmission of phononic crystal waveguides

Waveguiding in a phononic crystal (PC) can be achieved along either linear line defects or a sequence of cavities, for frequencies belonging to a complete bandgap. When waves are coupled inside a PC waveguide, modulations in the frequency transmission are generally observed, leading to the formation...

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Bibliographic Details
Published in:Journal of sound and vibration 2018-12, Vol.437, p.410-421
Main Authors: Wang, Yan-Feng, Wang, Ting-Ting, Liang, Jun-Wei, Wang, Yue-Sheng, Laude, Vincent
Format: Article
Language:English
Subjects:
Acoustics
Bloch waves
Cables
Channeled spectrum
Crystal defects
Crystallography
Cylinders
Dislocations
Elastic waves
Engineering Sciences
Interference
Materials
Micro and nanotechnologies
Microelectronics
Phononic crystal
Phononic crystal waveguide
Sound waves
Surround sound
Waveguides
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Summary:Waveguiding in a phononic crystal (PC) can be achieved along either linear line defects or a sequence of cavities, for frequencies belonging to a complete bandgap. When waves are coupled inside a PC waveguide, modulations in the frequency transmission are generally observed, leading to the formation of a channeled spectrum. We show that the channeled spectrum results from the interference of forward and backward guided Bloch waves. We first theoretically develop a Bloch wave interference model. Then, we consider the case of linear waveguides and of coupled-resonator waveguides formed in a 2D square PC composed of water cylinders in mercury. The transmission properties of waveguides with different length and defect distribution are examined. In all cases, the observed channeled spectra are well explained by the theoretical model. This work is relevant to the design of new acoustic and elastic wave devices.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2018.09.030