We present a mathematical approach that simplifies the theoretical treatmentof electromagnetic localization in random media and leads to closed formanalytical solutions. Starting with the assumption that the dielectricpermittivity of the medium has delta-correlated spatial fluctuations, and usingthe Ito lemma, we derive a linear stochastic differential equation for a onedimensional random medium. The equation leads to localized wave solutions. Thelocalized wave solutions have a localization length that scales inversely withthe square of the frequency of the wave in the low frequency regime, whereas inthe high frequency regime, this length varies inversely with the frequency tothe power of two thirds.
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