Photodarkening or partial photobleaching of photochromic solid media is des
cribed by means of an approximated analytical equation. The equation shows
that the effective rate of the photochemical reaction is proportional to th
e square root of the final transmittance of the illuminated layer. The mode
l is applied to describe the photodarkening of dichromated gelatin at 488 n
m. (C) 2001 Optical Society of America OCIS codes: 260.5130, 090.2900.