ABSTRACT
The difference of the local and averaged field in the Clausius–Mossotti–Lorentz–Lorenz (CMLL) formula would be equal to the averaged field of the reference particle calculated at its center. Fully random media of particles amorphous composites, amorphous natural materials, and fluctuating gases comprise stochastic clusters. For such materials, the CMLL formulas hold only in the static limit. The concept of the static limit can be attributed to time-varying fields, but only at frequencies where these clusters are also optically small. The peculiarity of the surface polarization has nothing to do with the CMLL formulas or extinction principle, it is an inconsistency of our model. The bulk homogenization model will become applicable to ultimately thin composite layers. The finite thickness of the interface and the variation of the effective material parameter across it does not matter except an exotic case when the composite slab is ultimately thin.
