3D piezoelectric surface Green's function

Vincent Laude; Carlos Jerez-Hanckes; Sylvain Ballandras

doi:10.1109/ULTSYM.2005.1602944

3D piezoelectric surface Green's function

Vincent Laude, Carlos Jerez-Hanckes, Sylvain Ballandras

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

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 language	English
Title of host publication	2005 IEEE Ultrasonics Symposium
Pages	687-690
Number of pages	4
DOIs	https://doi.org/10.1109/ULTSYM.2005.1602944
State	Published - 2005
Externally published	Yes
Event	2005 IEEE Ultrasonics Symposium - Rotterdam, Netherlands Duration: 18 Sep 2005 → 21 Sep 2005

Publication series

Name	Proceedings - IEEE Ultrasonics Symposium
Volume	1
ISSN (Print)	1051-0117

Conference

Conference	2005 IEEE Ultrasonics Symposium
Country/Territory	Netherlands
City	Rotterdam
Period	18/09/05 → 21/09/05

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10.1109/ULTSYM.2005.1602944

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title = "3D piezoelectric surface Green's function",

abstract = "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.",

author = "Vincent Laude and Carlos Jerez-Hanckes and Sylvain Ballandras",

year = "2005",

doi = "10.1109/ULTSYM.2005.1602944",

language = "English",

isbn = "0780393821",

series = "Proceedings - IEEE Ultrasonics Symposium",

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booktitle = "2005 IEEE Ultrasonics Symposium",

note = "2005 IEEE Ultrasonics Symposium ; Conference date: 18-09-2005 Through 21-09-2005",

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T1 - 3D piezoelectric surface Green's function

AU - Laude, Vincent

AU - Jerez-Hanckes, Carlos

AU - Ballandras, Sylvain

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33847142800&partnerID=8YFLogxK

U2 - 10.1109/ULTSYM.2005.1602944

DO - 10.1109/ULTSYM.2005.1602944

M3 - Conference contribution

AN - SCOPUS:33847142800

SN - 0780393821

SN - 9780780393820

T3 - Proceedings - IEEE Ultrasonics Symposium

SP - 687

EP - 690

BT - 2005 IEEE Ultrasonics Symposium

T2 - 2005 IEEE Ultrasonics Symposium

Y2 - 18 September 2005 through 21 September 2005

ER -

3D piezoelectric surface Green's function

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