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A scaling theory of the optical transmission and reflection coefficients near the mobility edge of a disordered medium is presented. It is found that the coherent backscattering peak is triangular in shape and decreases in width and height as the mobility edge is approached. The transmission coefficient scales in the same way as the electronic conductance. Convenient expressions in terms of current-correlation functions are derived for the transmission and reflection coefficients. These expressions are evaluated near two dimensions, verify the scaling theory, and also provide expressions for the scaling functions. The effects of absorption are discussed and shown to be important near the mobility edge.
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Edrei et al. (1990) studied this question.
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