3D piezoelectric surface Green's function

Vincent Laude, Carlos Jerez-Hanckes, Sylvain Ballandras

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations


We consider the computation of the harmonic 3D spatial-domain Green's function of the surface of a piezoelectric substrate. Starting from 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 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 are also explicitely treated. The remaining non-singular part of the spatial 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 + 128-cut lithium niobate.

Original languageEnglish
Title of host publication2005 IEEE Ultrasonics Symposium
Number of pages4
StatePublished - 2005
Externally publishedYes
Event2005 IEEE Ultrasonics Symposium - Rotterdam, Netherlands
Duration: 18 Sep 200521 Sep 2005

Publication series

NameProceedings - IEEE Ultrasonics Symposium
ISSN (Print)1051-0117


Conference2005 IEEE Ultrasonics Symposium


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