Critical behavior of the static and dynamic correlation functions near the optical Anderson transition

We present a scaling theory for the wavelength dependence of the static correlation functions C(Δλ) as well as for the time dependence Δt of the dynamic correlation function C(Δt) near the optical Anderson transition in terms of the correlation length ξ and the distance from a point source R. We find in both cases two scaling regions. The first critical region is obtained for small changes in Δλ or Δt and scales as C(Δλξ³) and C(Δtξ³), respectively, and the other region, which is obtained for larger changes in Δλ or Δt, follows a scaling dependence C(Δλ1/3R) and C(Δt1/3R), respectively.