A method to retrieve radius from 0.6 mkm up to 13.6 mkm and relative refractive index from 1.015 up to 1.28 of spherical homogeneous non-absorbing particles by multi-angle scattering is proposed. It is based on the formation of noise resistant functionals of the scattered intensity, which are invariant relatively linear homogeneous transformations of an intensity-based signal, and on the approximation of the retrieved parameters dependence on the functionals by a feed forward neural network. The values of intensity of light scattered in the interval of angles 10° - 60° are used. At 20% measurement errors the mean errors of the retrieval of radius and relative refractive index are 0.8% and 7%, respectively.© (2010) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.