Numerical methods of solving the inverse light scattering problem for
spheres are presented. The methods are based on two stochastic global
optimization techniques: Deep's random search and the multilevel singl
e-linkage clustering analysis due to Rinnooy Kan and Timmer. Computati
onal examples show that the radius and the refractive index of spheres
comparable with or larger than the wavelength of light can be recover
ed from multiangle scattering data. While the random search approach i
s faster, the clustering analysis is shown to be more reliable. A gene
ral discussion of the clustering method is also given.