Non-Standard Normalization of the Second-Order Factorial Moment as a Method of Reducing the Error Involved in Characterizing Spectral Profiles

The use of non-standard normalized second-order factorial moment may reduce the error involved in analyzing a light signal.

In this work we derive the theoretical expression of the error obtained when this kind of functions is used. Experimental results for a periodic square wave-shape profile are given.     

Non-Gaussian speckle statistics in adaptive-optics partial compensation

Wave fronts distorted by the atmosphere can be partially reconstructed by use of adaptive-optics systems. The intensity statistics at the image plane is a function of the ratio D/r(0) and of the level of compensation performed by the adaptive-optics system. We show that a non-Gaussian statistics is obtained when the aperture diameter is slightly greater than the Fried parameter. This situation can frequently be found when one is working in the IR. The light statistics is obtained by use of a simple model to describe the atmosphere and application of the same procedure used in the analysis of scattered light. Special attention is paid to very high- and very low-compensation regimes.