Spatial and temporal properties of speckle interferograms

Statistics – Applications

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Interferometers

Scientific paper

In order to investigate the spatial structure of a three-dimensional speckle intensity distribution, we have studied the intensity correlation function of two arbitrary points in a 3-D-speckle field. The result is an extension of the lateral autocorrelation function of speckle interferograms first derived by L. I. Goldfischer. Speckle interferograms will fluctuate temporally if the random object (rough surface or air turbulence) varies in time. The temporal properties of speckle interferograms are important for various applications. Therefore we have developed a method for measuring the ''life time'' of speckles. We record the temporal behaviour of the speckles with a 16mm-movie camera. The life time is determining by measuring the average crosscorrelation of adjacent frames on the 16mm-motion picture films. We used this method to measure the life time of stellar speckle interferograms. Based on these studies it was possible to perform speckle interferometry measurements of rather faint astronomical objects.

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