An equation to predict the intensity of the multiply scattered lidar r
eturn is presented. Both the scattering cross section and the scatteri
ng phase function can be specified as a function of range. This equati
on applies when the cloud particles are larger than the lidar waveleng
th. This approximation considers photon trajectories with multiple sma
ll-angle forward-scattering events and one large-angle scattering that
directs the photon back toward the receiver. Comparisons with Monte C
arlo simulations, exact double-scatter calculations, and Lidar data de
monstrate that this model provides accurate results. (C) 1998 Optical
Society of America.