A theoretical and experimental investigation is conducted on the frequency-
dependent reflectivity of ultrashort acoustic elastic waves from a diffuse
interface. One-dimensional theoretical predictions are obtained from a tran
sfer-matrix representation of the extended diffusional interface. Experimen
tal results are obtained with time-resolved thermal and acoustic spectrosco
py applied to a sputter-deposited two-layer thin film sample of aluminum an
d gold on a glass substrate. For the first time, variations in the spectral
character of reflected acoustic waves, as measured with time-resolved spec
troscopy, are quantified using the transfer function between successive arr
ivals at the free surface. This transfer function is used as a basis for qu
antitatively determining the nanometer sized extent of a diffuse interface.
(C) 1999 American Institute of Physics. [S0021-8979(99)01602-3].