Singularities of the planar Green function in the spectral domain

Author

Danicki, E. ; Laprus, W.

Author_Institution

Inst. of Fundamental Technol. Res., Polish Acad. of Sci., Warsaw, Poland

Volume

1

fYear

1996

fDate

3-6 Nov 1996

Firstpage

225

Abstract

The electro-acoustic field amplitudes at the boundary of a piezoelectric half-space satisfy a matrix relation which is characteristic of the medium. The elements of the matrix are functions of slowness. In the paper, the singularities of the matrix are investigated at cutoff points of bulk waves. An approximated formula is derived for the matrix in the neighborhood of the greatest cutoff point, which takes into account also the singularity related to the Rayleigh wave. The results of numerical calculations are presented for several piezoelectrics

Keywords

Green´s function methods; Rayleigh waves; eigenvalues and eigenfunctions; function approximation; matrix algebra; piezoelectric materials; spectral-domain analysis; surface acoustic wave devices; Ingebrigtsen effective permittivity; Rayleigh wave; SAW devices; bulk wave cutoff points; electro-acoustic field amplitudes; first order singularities; matrix elements; matrix relation; matrix singularities; numerical calculations; piezoelectric half-space boundary; piezoelectrics; planar Green function singularities; slowness; spectral domain; Acoustic devices; Eigenvalues and eigenfunctions; Electric potential; Equations; Green function; Numerical analysis; Shape; Tensile stress; Transmission line matrix methods; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultrasonics Symposium, 1996. Proceedings., 1996 IEEE

Conference_Location

San Antonio, TX

ISSN

1051-0117

Print_ISBN

0-7803-3615-1

Type

conf

DOI

10.1109/ULTSYM.1996.583964

Filename

583964