Light-scattering spectra of the glasses polystyrene (PS), polycarbonate (PC
), and Ca0.4K0.6(NO3)(1.4) (CKN) are measured in the frequency interval 3 -
10000 GHz covering a broad temperature range. The low frequency wing of th
e fast relaxation spectrum is found to show a power-law behavior with an ex
ponent alpha= 0.2- 0.6. The exponent depends on system and temperature. No
indication of a crossover to a white noise spectrum, as previously reported
and discussed within mode-coupling analyses is found. It is shown that the
Gilroy-Phillips model of thermally activated transitions in asymmetric dou
ble-well potentials well describes the power-law parr of fast relaxation sp
ectra in PS and CKN but fails in the case of PC. The distribution of barrie
r heights is extracted from the spectra. [S0163-1829(98)04645-1].