The effect of quenched disorder on the propagation of autowaves in exc
itable media is studied both experimentally and numerically in relatio
n to the light-sensitive Belousov-Zhabotinsky reaction. The spatial di
sorder is introduced through a random distribution with two different
levels of transmittance. In one dimension the (time-averaged) wave spe
ed is smaller than the corresponding to a homogeneous medium with the
mean excitability. Contrarily, in two dimensions the velocity increase
s due to the roughening of the front. Results are interpreted using ki
nematic and scaling arguments. In particular, for d = 2 we verify a th
eoretical prediction of a power-law dependence for the relative change
of the propagation speed on the disorder amplitude.