Inversion of light scattering data from fractals by the chahine iterative algorithm

We used the nonlinear Chahine iterative inversion scheme to analyze size distributions of fractal objects and we tested its usefulness by computer simulations. The data to be inverted are elastic light scattering measurements at a number of angles. We chose the fractal dimension of the objects equal to 1.75 to duplicate colloid aggregates growing in the diffusion limited aggregation mode. Even in the presence of a realistic level of noise, the method offers good estimates of the average radius and of the spread of the distribution.