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- W2043981379 abstract "An arbitrary anisotropic piezoelectric half-space is considered, and harmonic wave field in both time and space on its surface. A planar harmonic Green’s function, dependent on the wave number, is involved in the matrix relation between complex amplitudes of the applied traction and the resulting particle displacement on the surface of the half-space. An approximation to this function is derived, being valid in the vicinity of the cutoff slownesses of bulk waves, for certain cases of the shape of the slowness curves at the cutoffs. The Stroh formalism is adopted and a new theorem is proved for this purpose. This approximation is useful in any analysis of the wave field carried out by means of the methods of complex variable, for example in finding the singular points or determining the type of branch points (at the cutoff wave numbers of bulk waves) on the complex plane of a wave number. The branch points of square and cubic root type are discussed. The approximation parameters are derived from the matrix dependences at a given branch point. The computed examples are presented for effective surface dielectric permittivity of quartz substrate." @default.
- W2043981379 created "2016-06-24" @default.
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- W2043981379 date "1998-08-01" @default.
- W2043981379 modified "2023-09-26" @default.
- W2043981379 title "An approximation to the planar harmonic Green’s function at branch points in wave-number domain" @default.
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- W2043981379 doi "https://doi.org/10.1121/1.423238" @default.
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