Method for estimating outer scale of atmospheric turbulence and its dependence on the model

We recently developed a method for estimating the outer scale of the atmospheric turbulence based on the correlation function of lateral displacement of thin parallel beams propagating horizontally over short paths. Here, after a short description of the method, based on a von Karman turbulence model, the theory is extended to the Hill-Andrews model, that, in principle, better describes the turbulence spectrum in the region of the inner scale, the so called "bump". We show that in the Hill-Andrews model the value of the obtained outer scale depends on parameter p=inner scale/outer scale. In regions where the turbulence is well developed, practically in the atmosphere, p is very small and in this case our method gives rise to a value of the outer scale that is independent of the model.