Calculation of optical transport and localization quantities

Abstract

By combining a coherent-potential approximation with our previous work on localization, we calculate the mean free path l, the diffusion coefficient D, the localization parameter kl, where k is the renormalized wave vector, the localization length $L_c$, and other related quantities. Our results for D near the critical regime are in surprisingly impressive agreement with recent experimental data by Drake and Genack in a sample of titania spheres in air. Our calculations indicate that optical localization can be experimentally realized by either lowering the concentration of the titania spheres or lowering the standard deviation of the radii distribution.