An investigation of the characteristics of multiply-scattered Lidar returns from homogeneous layers of nonspherical Chebyshev particles is presented. A Monte Carlo procedure bas been employed to simulate Lidar measurements in a ground based configuration. Total detected power and depolarization of the return signal have been calculated for a variety of particle sizes and deformations, as well as for different fields of view of the instrument and optical thicknesses of the medium. As far as depolarization is concerned, particles characterized by a high Backscattering Depolarization Ratio have shown a peculiar behavior in multiple scattering. Results have been checked, for double scattering, employing an analytical formula previously developed.