Numerical study of degree of light scattering strength versus fractal dimension in optical fractal disordered media: Applications in strong to weak disordered media.

We numerically study effective disorder properties of optical fractal disordered systems of varying fractal dimension. The fractal media are generated using diffusion limited aggregation (DLA) technique. The degree of structural disorder or disorder strength of these fractal systems are calculated in terms of inverse participation ratio (IPR) of the optical eigenfunctions using Anderson tight-binding Hamiltonian model with closed boundary conditions. The fractal dimensions are calculated using the box counting method. Results show a non-monotonous behavior of the disorder induced scattering strength with varying fractal dimension in these systems. This non-monotonous property is attributed to the competition between increasing structural disorder due to decrease in fractality or porosity versus decrease in scattering centers due to decreased fractality. Potential applications of this result in the characterization of biological samples in abnormalities are also discussed.