Acoustic Tamm states in double 1D phononic crystals

Abstract

A simple planar multilayer structure was proposed for the observation of acoustic Tamm states. The theoretical and experimental studies show that acoustic Tamm states can be formed at the interface between double one-dimensional phononic crystals with extremely narrow cavity between them. When the width of the cavity increases, the acoustic Tamm states gradually disappear and the cavity resonant states appear instead. By studying the field distribution, we give the physical explanation for the two different acoustic interface states.

Keywords

phononic crystal / Tamm state / cavity / surface state

References

[1] Tanaka Y., Tamura S. Surface Acoustic Waves in Two-dimensional Periodic Elastic Structures[J]. Phys. Rev.B, 1998, 58: 7958-7965.

[2] Wu T. T., Huang Z. G., Lin S. Surface and Bulk Acoustic Waves in Two-dimensional Phononic Crystal Consisting of Materials with General Anisotropy[J]. Phys. Rev. B, 2004, 69: 094 301-094 310.

[3] Manzanares-Martínez B., Ramos-Mendieta F. Surface Elastic Waves in Solid Composites of Two-dimensional Periodicity[J]. Phys. Rev.B, 2003, 68: 134 303-134 310.

[4] Tartakovskaya E. V. Surface Waves in Elastic Band-gap Composites[J]. Phys. Rev. B, 2000, 62: 11 225-11 229.

[5] Torres M., Montero de Espinosa F. R., García-Pablos D., García N. Sonic Band Gaps in Finite Elastic Media: Surface States and Localization Phenomena in Linear and Point Defects[J]. Phys. Rev. Lett., 1999, 82: 3054-3057.

[6] Sainidou R., Djafari-Rouhani B., Vasseur J. O. Surface Acoustic Waves in Finite Slabs of Three-dimensional Phononic Crystals [J]. Phys. Rev. B, 2008, 77: 094 304-094 312.

[7] Zhao D., Liu Z., Qiu C., He Z., Cai F., Ke M. Surface Acoustic Waves in Two-dimensional Phononic Crystals: Dispersion Relation and the Eigenfield Distribution of Surface Dispersion Relation and the Eigenfield Distribution of Surface Modes [J]. Phys. Rev. B, 2007, 76: 144 301-144 307.

[8] Jia H., Ke M., He Z., Peng S., Liu G., Mei X., Liu Z. Experimental Demonstration of Surface Acoustic Waves in Two-dimensional Phononic Crystals with Fluid Background [J]. J. Appl. Phys., 2009, 106: 044 512-044 513.

[9] Zhang X. Y., Jackson T., Lafond E., Deymier P., Vasseur J. Evidence of Surface Acoustic Wave Band Gaps in the Phononic Crystals Created on Thin Plates [J]. Appl. Phys. Lett., 2006, 88: 041 911-041 913.

[10] Christensen J., Fernandez-Dominguez A. I., De Leon-Perez F., Martin-Moreno L., Garcia-Vidal F. J. Collimation of Sound Assisted by Acoustic Surface Waves [J]. Nature Phys., 2007, 3: 851

[11] Christensen J., Huidobro P. A., Martín-Moreno L., García-Vidal F. J. Confining and Slowing Airborne Sound with a Corrugated Metawire [J]. Appl. Phys. Lett., 2008, 93: 083 502-083 504.

[12] Kato H. Transmission of L-mode Phonons from A Superlattice into a Liquid by Effective Acoustic Impedance Matching [J]. Phys. Rev. B, 1999, 59: 11 136-11 138.

[13] Ei Hassouani Y., Ei Boudouti E., Djafari-Rouhani B., Aynaou H., Dobrzynski L. Surface and Interface Acoustic Waves in Solid-fluid Superlattices: Green’s Function Approach [J]. Phys. Rev. B, 2006, 74: 144 306-144 320.

[14] Ke M., He Z., Peng S., Liu Z., Shi J., Wen W., Sheng P. Surface Resonant-States-Enhanced Acoustic Wave Tunneling in Two-Dimensional Phononic Crystals [J]. Phys. Rev. Lett., 2007, 99: 044 301-044 304.

[15] Kavokin A. V., Shelykh I., Malpuech G. Lossless Interface Modes at the Boundary between Two Periodic Dielectric Structures [J]. Phys. Rev. B, 2005, 72: 233 102-233 105.

[16] Vinogradov A. P., Dorofeenko A. V., Erokhin S. G., Inoue M., Lisyansky A. A., Merzlikin A. M., Granovsky A. B. Surface State Peculiarities in One-dimensional Photonic Crystal Interfaces [J]. Phys. Rev. B, 2006, 74: 045 128-045 135.

[17] Guo J., Sun Y., Zhang Y., Li H., Jiang H., Chen H. Experimental Investigation of Interface States in Photonic Crystal Heterostructures [J]. Phys. Rev. E, 2008, 78: 026 607-026 612.

[18] Kafesaki M., Sigalas M. M., Garcia N. Frequency Modulation in the Transmittivity of Wave Guides in Elastic-Wave Band-Gap Materials [J]. Phys. Rev. Lett., 2000, 85: 4 044-4 047.