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Multifunctional One-dimensional Phononic Crystal Structures Exploiting Interfacial Acoustic Waves

Published online by Cambridge University Press:  31 January 2011

Albert C To
Affiliation:
[email protected], University of Pittsburgh, Civil and Environmental Engineering, 949 Benedum Hall, 3700 O'Hara Street, Pittsburgh, Pennsylvania, 15261, United States, 412-624-2052
Bong Jae Lee
Affiliation:
[email protected], University of Pittsburgh, Mechanical Engineering and Materials Science, Pittsburgh, Pennsylvania, United States
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Abstract

The present study demonstrates that interfacial acoustic waves can be excited at the interface between two phononic crystals. The interfacial wave existing between two phononic crystals is the counterpart of the surface electromagnetic wave existing between two photonic crystals. While past works on phononic crystals exploit the unique bandgap phenomenon in periodic structures, the present work employs the Bloch wave in the stop band to excite interfacial waves that propagate along the interface and decay away from the interface. As a result, the proposed structure can be used as a wave filter as well as a thermal barrier. In wave filter design, for instance, the incident mechanical wave energy can be guided by the interfacial wave to the lateral direction; thus, its propagation into the depth is inhibited. Similarly, in thermal barrier design, incident phonons can be coupled with the interfacial acoustic wave, and the heat will be localized and eventually dissipated at the interface between two phononic crystals. Consequently, the thermal conductivity in the direction normal to the layers can be greatly reduced. The advantage of using two phononic crystals is that the interfacial wave can be excited even at normal incidence, which is critical in many engineering applications. Since the proposed concept is based on a one-dimensional periodic structure, the analysis, design, and fabrication are relatively simple compared to other higher dimensional material designs.

Type
Research Article
Copyright
Copyright © Materials Research Society 2009

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References

1 Cummer, S. A. and Schurig, D., New J. Phys,. 9, 45 (2007).10.1088/1367-2630/9/3/045Google Scholar
2 Chen, H. and Chan, C. T., Appl. Phys. Lett,. 91, 183518 (2007).10.1063/1.2803315Google Scholar
3 Torrent, D. and Sánchez-Dehesa, J., New J. Phys,. 9, 323 (2007).10.1088/1367-2630/9/9/323Google Scholar
4 Villa, F. and Gaspar-Armenta, J. A., Opt. Commun,. 223, 109 (2003).10.1016/S0030-4018(03)01644-4Google Scholar
5 Gonella, S., To, A. C., and Liu, W. K., J. Phys. Mech. Solid. (in press).Google Scholar
6 Gonella, S. and Ruzzene, M., J. Sound Vib. 312, 125 (2008).10.1016/j.jsv.2007.10.033Google Scholar
7 Djafari-Rouhani, B., Dobrzynski, L., and Duparc, O. Hardouin, Phys. Rev. B, 28, 1711 (1983).10.1103/PhysRevB.28.1711Google Scholar
8 Camley, R. E., Djafari-Rouhani, B., Dobrzynski, L., and Maradudin, A. A., Phys. Rev. B, 27, 7318 (1983).10.1103/PhysRevB.27.7318Google Scholar
9 Wang, G., Yu, D., Wen, J., Liu, Y., Wen, X., Phys. Lett. A, 327, 512 (2004).10.1016/j.physleta.2004.05.047Google Scholar
10 Kennett, B. L. N., Seismic Wave Propagation in Stratified Media (Cambridge University Press, 1983).Google Scholar
11 Yeh, P., Optical Waves in Layered Media (Wiley, New York, 1998).Google Scholar
12 Raether, H., Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1998).Google Scholar
13 Park, K., Lee, B. J., Fu, C. J., and Zhang, Z. M., J. Opt. Soc. Am. B, 22, 1016 (2005).10.1364/JOSAB.22.001016Google Scholar
14 Lee, B. J., Fu, C. J., and Zhang, Z. M., Appl. Phys. Lett,. 87, 071904 (2005).10.1063/1.2010613Google Scholar
15 Lee, B. J. and Zhang, Z. M., J. Appl. Phys,. 100, 063529 (2006).10.1063/1.2349472Google Scholar
16 Lee, B. J., Chen, Y.-B., and Zhang, Z. M., Opt. Lett,. 33, 204 (2008).10.1364/OL.33.000204Google Scholar
17 Auld, B. A., Acoustic Fields and Waves in Solids, Volume 1 (Krieger Publishing Company, Florida, 1990).Google Scholar
18 Aki, K. and Richards, P. G., Quantitative Seismology, 2nd Edition (University Science Publishing, New York, 2002).Google Scholar