Abstract
The problem of simulations of the atmospherically distorted wavefronts, making use of Karhunen-Loeve functions for the study of high resolution techniques in astronomy is considered. An analytic solution for the kernel of the Karhunen-Loeve integral equation is found for the case of Kolmogorov turbulence with a finite outer-scale length. Two outer-scale models are considered: the exponential model and the von Karman model. A generator allowing the simulation of two-dimensional isotropic random processes with a given structure function is described. It is shown that both considered models give nearly the same results.
