Abstract
The attenuation in the propagation of a plane wave in conducting media has been studied. We analyzed a wave motion suffering dissipation by the Joule effect in its propagation in a medium with global disorder. We solved the stochastic telegrapher's equationin the Fourier-Laplace representation allowing us to find the space penetration length of a plane wave in a complex conducting medium. Considering fluctuations in the loss of energy, we found a critical value k_{c} for Fourier's modes, thus if |k|<k_{c} the waves are localized. We showed that the penetration length is inversely proportional to k_{c}. Thus, the penetration length L=k_{c}^{-1} becomes an important piece of information for describing wave propagation with Markovian and non-Markovian fluctuations in the rate of the absorption of energy τ^{-1}. In addition, intermittent fluctuations in this rate have also been studied.
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