Turbulence spectral models and their effect on anisoplanatic error

In problems involving optical wave propagation in the atmosphere it is common to assume turbulence statistics obey a Kolmogorov power spectral density model. It is well known that this model has a key weakness in that it does not model the outer scale. Also, some observations indicate a deviation from the Kolmogorv -11/3 power law often referred to as non-Kolmogorov turbulence. Understanding the effect of a change in power law has been a difficulty for some researchers and most assume the turbulence volume is homogeneous, which is unlikely. In this work, I describe how anisoplanatic error can be described for inhomogeneous turbulence using the mean turbulence height and the generalized Fried parameter. I also consider a two scale outer scale model and describe its effect compared to the single parameter von Karman model.