Rytov Variance of Adaptive Optics Applied Modified Von-Karman Spectrum

In this article, we derive Rytov variance of Adaptive optics (AO) applied to atmospheric turbulence. We chose the modified von-Karman power spectrum, which covers the atmosphere's inner and outer scales. After analytical derivations, we plot Rytov variance against propagation distance and spatial frequency. We organize the plots to see the effect of atmospheric turbulence, scaling factor, and type of correction. Rytov variance is directly proportional to the propagation distance. On the other hand, it has an inverse relation between the ratio of spatial frequencies. Our results show that Rytov variance in adaptive optics corrected spectrum is low for a low turbulent regime. Moreover, we calculate the scintillation index using derived Rytov variance. We believe our results will be used to model adaptive optics corrected random phase screen approach, a model for turbulent channels in wave optics. This way, performance measurements for adaptive optics corrections could be more accurate.