Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2010-01-02
Physics
Condensed Matter
Other Condensed Matter
15 pages, 6 figures. To appear in J. Phys. Cond. Matt. (2010)
Scientific paper
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 solid matrix. Self-collimation effect is employed to guide the shear waves propagating through the lens along specific directions. 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.
Chiang Chen-Yu
Luan Pi-Gang
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