The paper presents the problem of scattering of a plane monochromatic wave by small nonspherical dielectric particles that prevail in cirrus clouds is considered: hexagonal plates and columns, droxtalls and particles of arbitrary shape. The calculations were carried out at wavelengths 0.532 µm and refractive indices 1.3116. The solutions were obtained by the discrete dipole method (ADDA v. 1.4) and complement the previously obtained database for large particles, which is used to interpret the lidar signal. All calculations were performed for randomly oriented particles and far field.