Singularities of the planar green function in the spectral domain

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Authors

  • W. LAPRUS Institute of Fundamental Technological Research, Polish Academy of Sciences, Poland
  • E. DANICKI Institute of Fundamental Technological Research, Polish Academy of Sciences, Poland

Abstract

The surface acoustic wave 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 also takes into account the singularity related to the Rayleigh wave. The results of numerical calculations are presented for several piezoelectrics.

References

[1] K.A. INGEBRIGTSEN, Surface waves in piezoelectrics, J. Appl. Phys., 40, 2681-2686 (1969).

[2] K. BLOTEKJAER, K.A. INGEBRIGTSEN and H. SKEIE, A method for analyzing waves in structures consisting of metal strips on dispersive media, IEEE Trans. Electron Devices, ED-20, 1133-1138 (1973).

[3] E. DANICKI, New theory of SSBW devices, [in:] 1980 IEEE Ultrasonics Symposium Proceedings, B.R. McAvoy [Ed.] (LEEE, New York, 1980), pp. 235-239.