PMID: 16529117Mar 15, 2006Paper

Surface Green's function of a piezoelectric half-space

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
V LaudeSylvain Ballandras

Abstract

The computation of the two-dimensional harmonic spatial-domain Green's function at the surface of a piezoelectric half-space is discussed. Starting from the known form of the Green's function expressed in the spectral domain, the singular contributions are isolated and treated separately. It is found that the surface acoustic wave contributions (i.e., poles in the spectral Green's function) give rise to an anisotropic generalization of the Hankel function H0(2), the spatial Green's function for the scalar two-dimensional wave equation. The asymptotic behavior at infinity and at the origin (for the electrostatic contribution) also are explicitly treated. The remaining nonsingular part of the spectral Green's function is obtained numerically by a combination of fast Fourier transform and quadrature. Illustrations are given in the case of a substrate of Y-cut lithium niobate.

References

May 23, 2001·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·P M Smith
Sep 26, 2001·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·P VenturaM Solal
May 7, 2002·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Mario JungwirthRobert Weigel
Feb 6, 2004·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Marc Solal
Feb 5, 2005·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Marc SolalSylvain Ballandras
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vincent LaudeAbdelkrim Khelif
May 21, 2005·Physical Review Letters·T GorishnyyE L Thomas
Feb 5, 2008·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·J KoskelaM M Salomaa
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Jan 1, 1994·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·E L Adler

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Citations

Apr 15, 2008·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Carlos F Jerez-HanckesRaphael Lardat
Apr 20, 2007·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Olli HolmgrenWilliam Steichen

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