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• W2004917110 abstract "This paper analyzes wave propagation in a one-dimensional random medium with long-range correlations. The asymptotic regime where the fluctuations of the medium parameters are small and the propagation distance is large is studied. In this regime pulse propagation is characterized by a random time shift described in terms of a fractional Brownian motion and a deterministic spreading described by a pseudodifferential operator. This operator is characterized by a frequency-dependent attenuation that obeys a power law with an exponent ranging from 1 to 2 that is related to the power decay rate of the autocorrelation function of the fluctuations of the medium parameters. This frequency-dependent attenuation is associated with a frequency-dependent phase, which ensures causality of the filter that realizes the approximation. A discussion is provided showing that the mean-field theory cannot capture the correct attenuation rate; this is because it also averages the random time delay. Numerical results are given to illustrate the accuracy of the asymptotic theory." @default.
• W2004917110 created "2016-06-24" @default.
• W2004917110 creator A5023971789 @default.
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• W2004917110 date "2009-01-01" @default.
• W2004917110 modified "2023-10-18" @default.
• W2004917110 title "Pulse Propagation in Random Media with Long-Range Correlation" @default.
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• W2004917110 doi "https://doi.org/10.1137/080723193" @default.
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