Analysis of the shift-and-add method for imaging through turbulent media

We examine the statistical basis of the shift-and-add technique, by which true images of objects (viewed through fluctuating, distorting media) are formed by a particular kind of averaging of speckle images Our theory agrees with experimental results for objects consisting of isolated unresolvable points We develop a preliminary analysis for extended objects (i e, objects having continuous, resolvable brightness distributions)