An approximation to the planar harmonic impedance for interface waves in piezoelectric body

• Autorzy: Danicki E. J.
• Języki publikacji: EN

Abstrakty

EN

TIt is well known that spatial-temporal Green function characterizes sufficiently the elastic media. For the case of elastic interface waves which propagate at the interface between two, perfectly mechanically contacting piezoelectric half-spaces, this function, or its scalar counterpart that is the planar harmonic impedance, provides full characterization of electric properties observed at the interface, which can be applied in analysis of interdigital transducers embedded there, for instance. This impedance however is not easy for evaluation as a function of complex wave-number in the most interesting domain near the cut-off wave-number of bulk waves. Here, a perturbation analysis is presented exploiting the Stroh matrix formulation for piezoelectrics which yields the analytical approximation to the investigated electric impedance at the crystal planar cross-section.

Słowa kluczowe

EN

surface acoustic waves; harmonic Green functions; waves in piezoelectrics

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2009
• Tom: Vol. 34, No. 2
• Strony: 189--196
• Opis fizyczny: Bibliogr 7 poz., rys.

Twórcy

autor

Danicki E. J.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5b, 02-106 Warszawa, Poland,

Bibliografia

• [1] Stroh A.N., Steady state problems in anisotropic elasticity, J. Math. Phys., 41, 77–103 (1962).
• [2] Danicki E.J., An approximation to the planar harmonic Green’s function at branch points in wave-number domain, J. Acoust. Soc. Am., 104, 651–663 (1998).
• [3] Wilkinson J.H., The Algebraic Eigenvalue Problem, Ch. 1, Clarendon, Oxford 1965.
• [4] Danicki E.J., An enhanced algorithm for evaluation of surface waves, IEEE Trans., UFFC [in print] (2009).
• [5] Laprus W., Danicki E.J., Piezoelectric interfacial waves in lithium niobate and other crystals, J. Appl. Phys., 81, 855–861 (1997).
• [6] Darinskii A.N., Weichnacht M., Super high-velocity leaky waves guided by a layer inserted into piezoelectric crystals, Wave Motion, 39, 181–190 (2004).
• [7] Danicki E.J., Piezoelectric interfacial waves in directions of vanishing slowness curvature, 137 ASA Meeting CD-ROM-Collected Papers, Berlin 1999.