Local resolution characteristics of atmospheric turbulence

Abstract

D. L. Fried’s concept of a “Lucky Image” for turbulent image streams can be seen as creating different degrees of localized resolution in images. These localized regions of resolution can be derived from Fried’s equation for the probability of obtaining a Lucky Image. The existence of local resolution variations when imaging through turbulence also implies local variations in the point-spread-functions (PSFs) caused by turbulence. We characterize these local variations by using simple measures on PSFs collected in the presence of atmospheric turbulence. We also compile these variations into an empirical probability density function (PDF) that describes the different resolutions in local regions of turbulent imagery and can be used to characterize specific conditions of turbulence, e.g., the coherence diameter.