Bifurcation-based acoustic switching and rectification

Nature Materials

Volumn 10, Issue 9, 2011, Pages 665-668

  Boechler, N ^a   Theocharis, G ^a   Daraio, C ^a  

^a California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DEFECTS; ENERGY CONSERVATION; LOGIC DEVICES; ONE DIMENSIONAL; PARTICLES (PARTICULATE MATTER); RECTIFYING CIRCUITS; THERMAL INSULATING MATERIALS;

BIFURCATIONS AND CHAOS; BIOMEDICAL ULTRASOUND; BROADBAND FREQUENCY; EXPERIMENTAL DEMONSTRATIONS; EXTERNAL CONDITIONS; MECHANICAL ENERGIES; ONE-DIMENSIONAL ARRAYS; TUNABLE RECTIFICATION;

ELECTRIC RECTIFIERS;

EID: 80052058964     PISSN: 14761122     EISSN: 14764660     Source Type: Journal    
DOI: 10.1038/nmat3072     Document Type: Article

References (30)

1. Li, B., Wang, L. & Casati, G. Thermal diode: Rectification of heat flux. Phys. Rev. Lett. 93, 184301 (2004).
2. Li, B. & Wang, L. Phononics gets hot. Phys. World 21, 27-29 (March, 2008).
3. Chang, C. W., Okawa, D., Majumdar, A.&Zettl, A. Solid-state thermal rectifier. Science 314, 1121-1124 (2006).
4. Kobayashi, W., Teraoka, Y. & Terasaki, I. An oxide thermal rectifier. Appl. Phys. Lett. 95, 171905 (2009).
5. Nesterenko, V. F., Daraio, C., Herbold, E. B. & Jin, S. Anomalous wave reflection at the interface of two strongly nonlinear granular media. Phys. Rev. Lett. 95, 158702 (2005).
6. Liang, B., Yuan, B. & Cheng, J. C. Acoustic diode: Rectification of acoustic energy flux in one-dimensional systems. Phys. Rev. Lett. 103, 104301 (2009).
7. Liang, B., Guo, X. S., Tu, J., Zhang, D. & Cheng, J. C. An acoustic rectifier. Nature Mater. 9, 989-992 (2010).
8. Li, X. F. et al. Tunable unidirectional sound propagation through a sonic-crystal-based acoustic diode. Phys. Rev. Lett. 106, 084301 (2011).
9. Wang, L. & Li, B. Thermal logic gates: Computation with phonons. Phys. Rev. Lett. 99, 177208 (2007).
10. Markos, P. & Soukoulis, C. M. Wave Propagation: From Electrons to Photonic Crystals and Left-handed Materials (Princeton Univ. Press, 2008).
11. Brillouin, L. Wave Propagation in Periodic Structures (Dover, 1953).
12. Sigalas, M. et al. Classical vibrational modes in phononic lattices: Theory and experiment. Z. Kristallogr. 220, 765-809 (2005).
13. Eichenfield, M., Chan, J., Camacho, R. M., Vahala, K. J. & Painter, O. Optomechanical crystals. Nature 462, 78-82 (2009).
14. Strogatz, S. H. Nonlinear Dynamics and Chaos (Perseus Publishing, 1994).
15. Maniadis, P., Kopidakis, G. & Aubry, S. Energy dissipation threshold and self-induced transparency in systems with discrete breathers. Physica D 216, 121-135 (2006).
16. Karabalin, R. B. et al. Signal amplification by sensitive control of bifurcationtopology. Phys. Rev. Lett. 106, 094102 (2011).
17. Vijay, R., Devoret, M. H. & Siddiqi, I. Invited review article: The Josephson bifurcation amplifier. Rev. Sci. Instrum. 80, 111101 (2009).
18. Campbell, D. K., Flach, S. & Kivshar, Y. S. Localizing energy through nonlinearity and discreteness. Phys. Today 57, 43-49 (January, 2004).
19. Solja£i¢, M. & Joannopoulos, J. D. Enhancement of nonlinear effects using photonic crystals. Nature Mater. 3, 211-219 (2004).
20. Johnson, K. L. Contact Mechanics (Cambridge Univ. Press, 1985).
21. Nesterenko, V. F. Dynamics of Heterogeneous Materials (Springer, 2001).
22. Daraio, C., Nesterenko, V. F., Herbold, E. & Jin, S. Tunability of solitary wave properties in one dimensional strongly nonlinear phononic crystals. Phys. Rev. E 73, 026610 (2006).
23. Coste, C., Falcon, E. & Fauve, S. Solitary waves in a chain of beads under Hertz contact. Phys. Rev. E 56, 6104-6117 (1997).
24. Herbold, E. B., Kim, J., Nesterenko, V. F., Wang, S. Y. & Daraio, C. Tunable frequency band-gap and pulse propagation in a strongly nonlinear diatomic chain. Acta Mech. 205, 85-103 (2009).
25. Hladky-Hennion, A. C.&de Billy, M. Experimental validation of band gaps and localization in a one-dimensional diatomic phononic crystal. J. Acoust. Soc. Am. 122, 2594-2600 (2007).
26. Boechler, N., Theocharis, G., Job, S., Kevrekidis, P. G., Porter, M. A. & Daraio, C. Discrete breathers in one-dimensional diatomic granular crystals. Phys. Rev. Lett. 104, 244302 (2010).
27. Job, S., Santibanez, F., Tapia, F. & Melo, F. Wave localization in strongly nonlinear Hertzian chains with mass defect. Phys. Rev. E 80, 025602 (2009).
28. Boechler, N., Theocharis, G., Man, Y., Kevrekidis, P. G. & Daraio, C. Defect modes in one-dimensional granular crystals. Preprint at http://arxiv.org/abs/1103.2483 (2011).
29. Spadoni, A. & Daraio, C. Generation and control of sound bullets with a nonlinear acoustic lens. Proc. Natl Acad. Sci. USA 107, 7230-7234 (2010).
30. Hong, J. Universal power-law decay of the impulse energy in granular protectors. Phys. Rev. Lett. 94, 108001 (2005).