Abstract

An expression is derived for the apparent log-amplitude variance that would result experimentally from the use of a high-frequency cutoff ν<sub><i>e</i></sub> 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 σ<sub><i>T</i></sub><sup>-2/5</sup> where σ<sub><i>T</i></sub><sup>2</sup> is the log-amplitude variance obtained from the perturbation theory. Furthermore, it is shown that theories that suppress spatial frequencies of the order 1/ρ<sub>0</sub>(<i>L</i>), where ρ<sub>0</sub>(<i>L</i>) is the lateral coherence of the wave at propagation distance <i>L</i>, 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 σ<sub><i>T</i></sub><sup>2</sup>.

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