An extension to the 355- and 1064-nm wavelengths of a numerical optical model originally developed at 532 nm is presented. The resulting parameterization allows estimates of stratospheric aerosol surface area, volume, and extinction-to-backscatter ratio from lidar measurements obtained at one of the two Nd:YAG laser wavelengths. Functional relationships that link single-wavelength backscatter to each of the physical variables are provided for sulfate aerosol types ranging from background to heavy volcanic under environmental conditions representative of the global lower stratosphere. The behavior of the functional relationships at the three Nd:YAG wavelengths is compared. Relative errors of model estimates range between 10% and 50%, depending on wavelength and backscatter cross sections. These values are comparable with the ones that characterize in situ particle counters. The inference of particle effective radius and the application of the method to the interpretation of supercooled polar stratospheric cloud observations are discussed.