Title :
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
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;
Conference_Titel :
Ultrasonics Symposium, 1996. Proceedings., 1996 IEEE
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-3615-1
DOI :
10.1109/ULTSYM.1996.583964
