TY - JOUR

T1 - Surface Green's Function of a Piezoelectric Half-Space

AU - Laude, Vincent

AU - Jerez-Hanckes, Carlos F.

AU - Ballandras, Sylvain

PY - 2006/2

Y1 - 2006/2

N2 - 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 H(2)0, the spatial Green's function for the scalar twodimensional 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.

AB - 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 H(2)0, the spatial Green's function for the scalar twodimensional 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.

UR - http://www.scopus.com/inward/record.url?scp=33645289444&partnerID=8YFLogxK

U2 - 10.1109/TUFFC.2006.1593381

DO - 10.1109/TUFFC.2006.1593381

M3 - Article

C2 - 16529117

AN - SCOPUS:33645289444

VL - 53

SP - 420

EP - 428

JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

SN - 0885-3010

IS - 2

ER -