We delimit a regime, valid for most ground-based lidar probings of cir
rus clouds, in which the field-of-view dependence of multiple scatteri
ng reaches a plateau. In this regime and assuming the phase function t
o be constant around pi, we formally demonstrate Platt's modification
of the single-scattering lidar equation, with a parameter eta(p), acco
unting for the reduction of the effective scattering coefficient defin
ed so that (1 - eta(p)) is the amount of energy scattered in the forwa
rd peak. Then, to cope with nonconstant backscattering functions, we d
iscuss the introduction of an effective backscattering coefficient tha
t is an average of the scattering probabilities around pi. (C) 1997 Op
tical Society of America.