Published online by Cambridge University Press: 11 October 2004
The structure function (or the power spectrum)of phasefluctuations induced by atmospheric turbulence is the mainquantity which must be known to optimize the High AngularResolution techniques used for astronomical observations. Itallows to evaluate the state of coherence of the perturbedwavefronts. In this paper are firstly recalled classical resultsconcerning the propagation of the luminous waves through theterrestrial atmosphere and consequently the image formation. Then,different models generally used to describe the optical effects ofatmospheric turbulence, due to numerous thin layers, are presentedand their influence discussed. A second order statistical analysisis performed and the coherence parameters deduced. The necessityof measuring these parameters appears evident and dedicatedmonitors must be built.