Surface Green's function of a piezoelectric half-space

Vincent Laude (1) , Carlos F. Jerez-Hanckes (1) , Sylvain Ballandras (1)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

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 $H_0^{(2)}$, 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) are also explicitely treated. The remaining non-singular 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.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Vincent Laude, Carlos F. Jerez-Hanckes, Sylvain Ballandras. Surface Green's function of a piezoelectric half-space. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2006, 53, pp.420. ⟨hal-00073087⟩