Abstract
We introduce a novel method to calculate the localization length in a disordered medium using the amplitude change and red-shift of the spectral density of an incident pulse propagating in the medium. The method is general and applicable to any disordered medium of any space dimensionality. It is used to study electromagnetic wave propagation through a three-dimensional, statistically homogeneous disordered medium. The frequency dependence of the localization length and the variance of the polarization are computed in terms of the strength of the disorder. We also show, using the red-shift of the spectrum of black-body radiation, that due to localization of light in disordered media, measurements of the temperature at a distance Z from the source yield values that are lower than that of the source. The shifts in the frequency of the spectral peak and its corresponding temperature depend also on intensity of disorder. For weak disorder we find that the temperature shift is given by, {T0 − T(Z)}/T0 Z, where T0 is the source’s temperature.And also we want to show the transverse localization with this method.