Edge waves and resonances in two-dimensional phononic crystal plates

We present a numerical study on phononic band gaps and resonances occurring at the edge of a semi-infinite two-dimensional (2D) phononic crystal plate. The edge supports localized edge waves coupling to evanescent phononic plate modes that decay exponentially into the semi-infinite phononic crystal...

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Bibliographic Details
Published in:Journal of applied physics 2015-05, Vol.117 (17)
Main Authors: Hsu, Jin-Chen, Hsu, Chih-Hsun
Format: Article
Language:English
Subjects:
Applied physics
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFINEMENT
CONTROL
COUPLING
CRYSTALS
Edge waves
ELECTRONIC STRUCTURE
Energy flow
ENERGY GAP
Holes
Lamb waves
Lattice vibration
NANOSTRUCTURES
NUMERICAL ANALYSIS
Photonic crystals
PLATES
Q factors
QUALITY FACTOR
RESONANCE
TWO-DIMENSIONAL SYSTEMS
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Summary:We present a numerical study on phononic band gaps and resonances occurring at the edge of a semi-infinite two-dimensional (2D) phononic crystal plate. The edge supports localized edge waves coupling to evanescent phononic plate modes that decay exponentially into the semi-infinite phononic crystal plate. The band-gap range and the number of edge-wave eigenmodes can be tailored by tuning the distance between the edge and the semi-infinite 2D phononic lattice. As a result, a phononic band gap for simultaneous edge waves and plate waves is created, and phononic cavities beside the edge can be built to support high-frequency edge resonances. We design an L3 edge cavity and analyze its resonance characteristics. Based on the band gap, high quality factor and strong confinement of resonant edge modes are achieved. The results enable enhanced control over acoustic energy flow in phononic crystal plates, which can be used in designing micro and nanoscale resonant devices and coupling of edge resonances to other types of phononic or photonic crystal cavities.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.4919426