Supersaturation: Effect of a high-frequency cutoff on strong optical-scintillation measurements

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Abstract
An expression is derived for the apparent log-amplitude variance that would result experimentally from the use of a high-frequency cutoff νe in the electronic detection system. It is shown, for the Kolmogorov spectrum and in the saturation regime, that the apparent log-amplitude variance decreases asymptotically as σT-2/5 where σT2 is the log-amplitude variance obtained from the perturbation theory. Furthermore, it is shown that theories that suppress spatial frequencies of the order 1/ρ0(L), where ρ0(L) is the lateral coherence of the wave at propagation distance L, are equivalent to suppressing high temporal frequencies in the time domain. Thus, such theories will result in a predicted log-amplitude variance that decreases asymptotically with increasing values of σT2.

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