Correlation and structure functions for pulse propagation in a turbulent atmosphere

Both longitudinal and transverse correlations (and structure functions) between optical pulses received from a single source and at two separated receivers, are studied for the propagation through the atmospheric turbulence. From the solutions it is found that the longitudinal correlation extends over a rather long distance which may be several times larger than the correlation distance of the medium, and the solution for the transverse correlation is the same as the result recently obtained by Lee and Harp [1] for the continuous spherical wave case. It is also shown that provided the Rytov method holds, the results contained in this and the previous paper [2], remain valid for pulse lengths satisfying the condition
T \gg 1/ck
.