Abstract
In order to research the statistical properties of Gaussian beam propagation through an arbitrary thickness random phase screen for adaptive optics and laser communication application in the laboratory, we establish mathematic models of statistical quantities, which are based on the Rytov method and the thin phase screen model, involved in the propagation process. And the analytic results are developed for an arbitrary thickness phase screen based on the Kolmogorov power spectrum. The comparison between the arbitrary thickness phase screen and the thin phase screen shows that it is more suitable for our results to describe the generalized case, especially the scintillation index.
Highlights
In order to research the statistical properties of Gaussian beam propagation through random media in the laboratory for AO [1,2] and laser communication applications, the random phase screen, which is located between optical source and receiver, is usually used to simulate an extended random medium; it is important to establish the mathematic model of statistical quantities involved in Gaussian beam propagation through a random phase screen
For the model of Gaussian beam propagation through a random phase screen, showed in Fig. 1, a single phase screen usually can represent weak fluctuation conditions, the statistical property will be discussed based on Rytov weak fluctuation method [4,14]
The three second-order moments are very important for the statistical property of the arbitrary thickness model, for example the mutual coherent function and scintillation index are both the liner combination of the three moments
Summary
In order to research the statistical properties of Gaussian beam propagation through random media in the laboratory for AO [1,2] and laser communication applications, the random phase screen, which is located between optical source and receiver, is usually used to simulate an extended random medium; it is important to establish the mathematic model of statistical quantities involved in Gaussian beam propagation through a random phase screen. We will, based on the Rytov weak fluctuation method and the thin phase screen model of Andrews et al [5], research the statistical property of Gaussian beam propagation through an arbitrary thickness phase screen, establish the mathematic models of involving statistical quantities, and develop the analytical results. The application scope of our results will be discussed based on the comparison between the thin phase screen models and arbitrary thickness models
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