Imaging off-plane shear waves with a two-dimensional phononic crystal lens

A two-dimensional flat phononic crystal (PC) lens for focusing off-plane shear waves is proposed. The lens consists of a triangular lattice hole-array, embedded in a solid matrix. The self-collimation effect is employed to guide the shear waves propagating through the lens along specific directions....

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2010-02, Vol.22 (5), p.055405-055405
Main Authors: Chiang, Chen-Yu, Luan, Pi-Gang
Format: Article
Language:English
Subjects:
Crystals
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Imaging
Lenses
Lenses, prisms, and mirrors
Mathematical analysis
Optical elements, devices, and systems
Optical materials
Optics
Photonic bandgap materials
Physics
Polycarbonates
Sound waves
Two dimensional
Wave optics
Wave propagation, transmission and absorption
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Summary:A two-dimensional flat phononic crystal (PC) lens for focusing off-plane shear waves is proposed. The lens consists of a triangular lattice hole-array, embedded in a solid matrix. The self-collimation effect is employed to guide the shear waves propagating through the lens along specific directions. The Dirichlet-to-Neumann maps (DtN) method is employed to calculate the band structure of the PC, which can avoid the problems of bad convergence and fake bands automatically in the void-solid PC structure. When the lens is illuminated by the off-plane shear waves emanating from a point source, a subwavelength image appears in the far-field zone. The imaging characteristics are investigated by calculating the displacement fields explicitly using the multiple scattering method, and the results are in good agreement with the ray-trace predictions. Our results may provide insights for designing new phononic devices.
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/22/5/055405