Propagation of waves through a slab near the Anderson transition: a local scaling approach

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Abstract
The authors use a local scaling approach to calculate the following properties near the Anderson transition: (i) the time-dependent pulse shape of the transmitted wave through a slab; (ii) the wavelength dependence of the intensity-intensity autocorrelation function C( Delta lambda ); (iii) the time dependence of the intensity-intensity autocorrelation function C( Delta t) for dynamic disorder; (iv) the correlation function for the memory effect. Their local scaling approach is shown to be consistent with Anderson's global scaling theory and yields the same scaling behaviour for the transmission coefficient. All the correlation functions are shown to depend explicitly on the averaged intensity pulse shape for small values of Delta lambda or Delta t.