No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Phononic crystals and elastodynamics: Some relevant points
1.I. Newton, Principia, Book II, 1686.
2.L. Brillouin, Wave Propagation in Periodic Structures, 2nd ed. (Dover Publ., N.Y., 1953).
3.Proceedings of the Royal Society of London, series A, Vol. 371, pp. 1-177, The Beginnings of Solid State Physics.
4.E. N. Economou, The Physics of Solids: Essentials and Beyond (Springer, Berlin, 2010).
8.K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Sol. State Commun. 89, 413 (1994).
9.J. D. Joannopoulos et al., Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University Press, Princeton, 2008).
12.E. Özbay, A. Abeyta, G. Tuttle, M. Tringides, R. Biswas, C. T. Chan, C. M. Soukoulis, and K. M. Ho, “Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods,” Phys. Rev. B 50, 1945 (1994).
13.M. Kafesaki and E. N. Economou, “Interpretation of the band structure results for elastic and acoustic waves by analogy with the LCAO approach,” Phys. Rev. B 52, 13317-13331 (1995).
15. Landau and Lifshitz, Theory of Elasticity, 3rd ed. (Pergamon Press, Oxford, 1986).
18.R. Sainidou, N. Stefanou, E. Psarobas, and A. Modinos, “A layer-multiple-scattering method for phononic crystals and heterostructures of such,” Comp. Phys. Comm. 166, 197 (2005).
19.E. N. Economou, Green’s functions in Quantum Physics, 3rd ed. (Springer Verlag, 2006).
21.E. N. Economou and M. M. Sigalas, “Stop bands for elastic waves in periodic composite materials,” J. Acoust. Soc. Am. 95, 1735 (1994).
22.M. Sigalas, M. S. Kushwaha, E. N. Economou, M. Kafesaki, I. E. Psarobas, and W. Steurer, “Classical vibrational modes in photonic lattices: theory and experiment,” Zeitschrift fur Kristallographie 220, 765-809 (2005).
23.M. Kafesaki, E. N. Economou, and M. M. Sigalas, in Photonic Band gap Materials, edited by C.M. Soukoulis (Kluwer, Dordrecht, 1996), pp. 143-164.
24.A. Sato, Y. Pennec, T. Yanagishita, H. Masuda, W. Knoll, B. Djafari-Rouhani, and G. Fytas, “Cavity-type hypersonic phononic crystals,” New Journal of Physics 14, 113032 (2012), Fig. 5(a).
25.J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), pp. 563-573.
26.Acoustic Metamaterials and Phononic Crystals, edited by P.A. Deymier (Springer, Berlin, 2013).
27.M.I. Hussein, M. J. Leamy, and M. Ruzzene, “Closure to Discussion of ‘Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook,” Appl. Mech. Rev. 66, 040802 (2014).
28.X. Zhang and Z. Liu, “Negative refraction of acoustic waves in two-dimensional phononic crystals,” Appl. Phys. Lett. 85, 341 (2004).
30.G. W. Milton, The Theory of Composites (Cambridge University Press, Cambridge, 2002).
31.M. Kadic, T. Buckmann, N. Stenger, M. Thiel, and M. Wegener, “On the practicability of pentamode mechanical metamaterials,” Appl. Phys. Lett. 100, 191901 (2012).
34.N. Aravantinos-Zafiris, M. M. Sigalas, and E. N. Economou, “Elastodynamic behavior of the three dimensional layer-by-layer metamaterial structure,” Journal of Applied Physics (to appear).
Article metrics loading...
In the present paper we review briefly some of the first works on wave propagation in phononic crystals emphasizing the conditions for the creation of acoustic band-gaps and the role of resonances to the band-gap creation. We show that useful conclusions in the analysis of phononic band gap
structures can be drawn by considering the mathematical similarities of the basic classical wave equation (Helmholtz equation) with Schrödinger equation and by employing basic solid state physics concepts and conclusions regarding electronic waves. In the second part of the paper we demonstrate the potential of phononic systems to be used as elastic
metamaterials. This is done by demonstrating negative refraction in phononic crystals and subwavelength waveguiding in a linear chain of elastic
inclusions, and by proposing a novel structure with close to pentamode behavior. Finally the potential of phononic structures to be used in liquid sensor applications is discussed and demonstrated.
Full text loading...
Most read this month