We report evidence for a different type of acoustic film excitation, identi
fied as a shear horizontal resonance, in amorphous silicon oxynitride films
on GaAs substrate. Observation of this excitation has been carried out usi
ng surface Brillouin scattering of light. A Green's function formalism is u
sed for analyzing the experimental spectra, and successfully simulates the
spectral features associated with this mode. The attributes of this mode ar
e described, these include its phase velocity which is nearly equal to that
of a bulk shear wave propagating parallel to the surface and is almost ind
ependent of film thickness and scattering angle, its localization mainly in
the film, and its polarization in the shear horizontal direction.