Si. Tamura et M. Yagi, FINITE-WAVELENGTH EFFECT ON THE BALLISTIC PROPAGATION OF SURFACE ACOUSTIC-WAVES, Physical review. B, Condensed matter, 49(24), 1994, pp. 17378-17384
We study the phonon-focusing effects of the Rayleigh and pseudosurface
waves propagating ballistically on the (100) surface of cubic crystal
s. Specifically, solving the wave equations for lattice displacements,
we consider the finite-wavelength effect at the MHz-frequency range a
nd for 1-cm propagation distance. The amplitude and polarization of la
ttice displacements at the surface associated with surface waves are s
ensitive to the propagation direction. Owing to this characteristic of
surface waves, the focusing factor defined in the ray picture does no
t necessarily describe correctly the intensity of surface waves excite
d from a point source. The angular dependences of the calculated displ
acement amplitudes explain an important feature of the recent focusing
experiment of Rayleigh waves, which the simple theory based on the fo
cusing factor fails to predict.