Abstract
We study wave propagation in a one-dimensional disordered array of scattering potentials. We calculate the mean and the variance of the resistance of the array, defined as the ratio of reflected to transmitted intensity, for a rather wide class of probability distributions characterizing the disorder. Our method is based on a mapping of the wave propagation onto the motion of a two-dimensional oscillator which is perturbed parametrically.
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Felderhof, B.U. Transmission and reflection of waves in a one-dimensional disordered array. J Stat Phys 43, 267–279 (1986). https://doi.org/10.1007/BF01010581
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DOI: https://doi.org/10.1007/BF01010581