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Defect Modes in Multilayered Piezoelectric Structures
Authors: D. G. Piliposyan
Abstract:Propagation of electro-elastic waves in a piezoelectric waveguide with finite stacks and a defect layer is studied using a modified transfer matrix method. The dispersion equation for a periodic structure consisting of unit cells made up from two piezoelectric materials with metallized interfaces is obtained. An analytical expression, for the transmission coefficient for a waveguide with finite stacks and a defect layer, that is found can be used to accurately detect and control the position of the passband within a stopband. The result can be instrumental in constructing a tunable waveguide made of layers of different or identical piezoelectric crystals and separated by metallized interfaces.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1339764Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 685
 A.K. Vashishth, V. Gupta, V., “Wave propagation in transversely isotropic porous piezoelectric materials”, Int. J. Solids Struct. 46, 2009, pp. 3620–3632.
 Y.Z. Wang, F.M. Li, K. Kishimoto, Y.S. Wang, and W.H. Huang, “Wave band gaps in three-dimensional periodic piezoelectric structures”, Mech. Research Comm. 36, 2009, pp. 461–468.
 M. Wilm, S. Ballandras, V. Laude, and T. Pastureaud, “A full 3D plane-wave expansion model for 1-3 piezoelectric composite structures”, J. Acous. Soc.Amer. 112, 2002, pp. 943–952.
 X.Y. Zou, Q. Chen, B. Liang, and J.C. Cheng, “Control of the elastic wave band gaps in two-dimensional piezoelectric periodic structures”, Sm. Mat. Struct. 17, 2008, p. 015008.
 Z.Z. Yan, Y.S. Wang, “Calculation of band structures for surface waves in two dimensional phononic crystals with a wavelet-based method”, Phys. Rev. B 78, 2008, p. 094306.
 Y. Achaoui, A. Khelif, S. Benchabane, and V. Laude, “Polarisation state and level repulsion in two-dimensional phononic crystals and waveguides in the presence of material anisotropy”, J. of Phys. D: Appll. Phys. 43, 2010, p. 185401.
 G.T. Piliposian, A.S. Avetisyan, and K.B. Ghazaryan, “Shear wave propagation in periodic phononic/photonic piezoelectric medium”, Wave Motion 49(1), 2012, pp. 125-134.
 K.B. Ghazaryan, D.G. Piliposyan, “Interfacial effects for shear waves in one dimensional periodic piezoelectric structure”, J. Sound Vib., 330(26), 2012, pp. 6456-6466.
 A.N. Darinskii, A.L. Shuvalov, O. Poncelet, A.A. Kutsenko, “Bulk longitudinal wave reflection/transmission in periodic piezoelectric structures with metallized interfaces”, Ultrasonics, Volume 63, 2015, pp. 118-125.
 V.I. Alshits, A.L. Shuvalov, “Resonance reflection and transmission of shear elastic waves in multilayered piezoelectric structures”, J. Appl. Phys. 77 (6), 1995, pp. 2659-2665.
 V.I. Alshits, A.S. Gorkunova, and A.L. Shuvalov, “Phase resonance in the reflection of acoustic waves by a system of piezocrystalline layers separated by cladding layers with screening properties”, Zh. Eksp. Teor. Fiz. 110, 1996, pp. 924-937.
 A.L. Chen, Y.S. Wang, “Study on band gaps of elastic waves propagating in one dimensional disordered phononic crystals”, Physica B 392, 2006, pp. 369–378.
 J. Postnova, R.V. Craster, R.V., “Trapped modes in topographically varying elastic waveguides”, Wave Motion 44, 2007, pp. 205–221.
 R.V. Craster, S. Guenneau, and S.D.M. Adams, 2009, “Mechanism for slow waves near cut-off frequencies in periodic waveguides”, Phys. Rev. B 79, 2009, p. 045129.
 S.D.M. Adams, R.V Craster, and S. Guenneau, “Bloch waves in periodic multi-layered acoustic waveguides”, Proc. R. Soc. A 464, 2008, pp. 2669-2692.
 S.D.M.Adams, R.V Craster, and S. Guenneau, “Guided and standing Bloch waves in periodic elastic strips”, Waves Rand. Compl. Media 19(2), 2009, pp. 321–346.
 D.G.Piliposyan, K.B. Ghazaryan, and G.T. Piliposian, “Shear Bloch waves and coupled phonon–polariton in periodic piezoelectric waveguides”, Ultrasonics 54(2), 2014, pp. 644–654.
 M. Sugimoto, T. Makimoto, “Analysis of mode coupling in piezoelectric waveguides”, Appl. Phys., 45(4), 1973, pp. 1643-1649.
 Y. Guo, W. Chen, and Y. Zhang, “Guided wave propagation in multi-layered piezoelectric structures”, Sci. China Ser. G: Phys., Mech. &Astr. 52(7), 2009, pp. 1094-1104.
 A.A. Tovar, L.W. Casperson, “Generalized Sylvester theorem for periodic applications in matrix optics”, J. Opt. Soc. Am. A, 12(3), 1995, pp. 578-590.
 C. Goffaux, J.P. Vigneron, “Theoretical study of a tunable phononic band gap system”, Phys. Rev. B: Condens. Matter 64, 2011, p. 075118.
 K. Bertoldi, M.C. Boyce, “Mechanically triggered transformations of phononic band gaps in periodic elastomeric structures”, Phys. Rev. B: Condens. Matter 77, 2008, p. 052105.