The phononic crystal interface layer determines slow-wave and pulse broadening effects

The phononic crystal interface layer determines slow-wave and pulse broadening effects

The relationship among the slow-wave and echo pulse broadening effects in reflected acoustic waves and the width of the interface layer of phononic crystal has been theoretically investigated. It has been observed that not only the slow time for the reflected acoustic wave but also the echo pulse broadening reaches a saturation point as the size of the phononic crystal increases. From the viewpoint of the acoustic wave, there is an interface layer in the crystal that determines the slow-wave and the echo pulse broadening effects. The longest slow time, which is the time needed for transmitting 0.08 periods of the phononic crystal, occurs when the width of the interface layer is 1.89λ. The width of the echo pulse is broadened no more than 0.13 periods when the interface layer width is about 2.69λ.

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  • [1] Amoudache S, Pennec Y, Rouhani BD, Khater A, Lucklum R, Tigrine R. Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects. J Appl Phys 2014; 115: 134503.
  • [2] Wu TT, Huang ZG, Lin S. Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy. Phys Rev B 2004; 69: 094301.
  • [3] Zhang X, An ZW. Numerical investigation of the slow acoustic wave modes in a one-dimensional phononic crystal plate. Chinese Phys Lett 2013; 30: 086301.
  • [4] Huang CY, Sun JH, Wu TT. A two-port ZnO/silicon Lamb wave resonator using phononic crystals. Appl Phys Lett 2010; 97: 031913.
  • [5] Liu J, Li F, Wu YH. The slow zero order antisymmetric Lamb mode in phononic crystal plates. Ultrasonics 2013; 53: 849-852.
  • [6] Page JH, Sheng P, Schriemer HP, Jones I, Jing XD, Weitz DA. Group velocity in strongly scattering media. Science 1996; 271: 634-637.
  • [7] Page JH, Schriemer HP, Jones I, Sheng P, Weitz DA. Classical wave propagation in strongly scattering media. Physica A 1997; 241: 64-71.
  • [8] Page JH, Yang SX, Liu ZY, Cowan ML, Chan CT, Sheng P. Tunneling and dispersion in 3D phononic crystals. Z Kristallogr 2005; 220: 859-870.
  • [9] Bonello B, Charles C, Ganot F. Velocity of a SAW propagating in a 2D phononic crystal. Ultrasonics 2006; 44: 1259-1263.
  • [10] Sommer FG, Filly RA, Minton MJ. Acoustic shadowing due to refractive and reflective effects. Am J Roentgenol 1979;132: 973-979.
  • [11] Myers D. Surfaces, Interfaces and Colloids. 2nd ed. New York, NY, USA: Wiley, 1990.
  • [12] Friedrichs KO, Keller JB. Geometrical acoustics. II. Diffraction, reflection, and refraction of a weak spherical or cylindrical shock at a plane interface. J Appl Phys 1955; 26: 961-966.
  • [13] Cangellaris AC, Wright DB. Analysis of the numerical error caused by the stair-stepped approximation of a conducting boundary in FDTD simulations of electromagnetic phenomena. IEEE T Antenn Propag 1991; 39: 1518-1525.
  • [14] Sui W, Christensen DA, Durney CH. Extending the two-dimensional FDTD method to hybrid electromagnetic systems with active and passive lumped elements. IEEE T Microw Theory 1992; 40: 724-730.
  • [15] Lambin P, Khelif A, Vasseur JO, Dobrzynski L, Djafari-Rouhani B. Stopping of acoustic waves by sonic polymer- fluid composites. Phys Rev E 2001; 63: 066605.
  • [16] Chandra H, Deymier P A, Vasseur J O. Elastic wave propagation along waveguides in three-dimensional phononic crystals. Phys Rev E 2004; 70: 054302.
  • [17] Vasseur JO, Deymier PA, Chenni B, Djafari-Rouhani B, Dobrzynski L, Prevost D. Experimental and theoretical evidence for the existence of absolute acoustic band gaps in two-dimensional solid phononic crystals. Phys Rev Lett 2001; 86: 3012.
  • [18] Tanaka Y, Tomoyasu Y, Tamura S. Band structure of acoustic waves in phononic lattices: two-dimensional composites with large acoustic mismatch. Phys Rev B 2000; 62: 7387.
  • [19] Bossy E, Talmant M, Laugier P. Three-dimensional simulations of ultrasonic axial transmission velocity measurement on cortical bone models. J Acoust Soc Am 2004; 115: 2314-2324.
  • [20] Yablonovitch E. Inhibited spontaneous emission in solid-state physics and electronics. Phys Rev Lett 1987; 58: 2059-2062.
  • [21] John S. Strong localization of photons in certain disordered dielectric superlattices. Phys Rev Lett 1987; 58: 2486- 2489.
  • [22] Lu MH, Feng L, Chen YF. Phononic crystals and acoustic metamaterials. Mater Today 2009; 12: 34-42.
  • [23] Notomi M, Yamada K, Shinya A, Takahashi J, Takahashi C, Yokohama I. Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs. Phys Rev Lett 2001; 87: 253902.
  • [24] Krauss TF. Slow light in photonic crystal waveguides. J Phys D Appl Phys 2007; 40: 2666-2670.
  • [25] Das S, Yin W. Trends in the global aluminum fabrication industry. JOM 2007; 59: 83-87.
  • [26] Hastings FD, Schneider JB, Broschat SL. Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation. J Acoust Soc Am 1996; 100: 3061-3069.
  • [27] Chew WC, Liu QH. Perfectly matched layers for elastodynamics: a new absorbing boundary condition. J Comput Acoust 1996; 4: 341-359.
  • [28] Bossy E. SimSonic Suite User’s Guide for SimSonic2D. 2012. http://www.simsonic.fr/downloads/SimSonic2D UserGuide.pdf.
  • [29] McSkimin HJ. Velocity of sound in distilled water for the temperature range 20–75 C. J Acoust Soc Am 1965; 37: 325-328.
  • [30] Thomas JF Jr. Third-order elastic constants of aluminum. Phys Rev 1968; 175: 955.
Turkish Journal of Electrical Engineering and Computer Sciences-Cover
  • ISSN: 1300-0632
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK
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