Statistics of speckle propagation through the turbulent atmosphere

Physics – Optics

Scientific paper

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Atmospheric Turbulence, Huygens Principle, Laser Outputs, Light Transmission, Speckle Patterns, Turbulence Effects, Atmospheric Optics, Covariance, Perturbation Theory, Signal Reception, Spatial Distribution, Statistical Analysis

Scientific paper

The extended Huygens-Fresnel principle is used to make an analysis of the first- and second-order statistics of the received intensity for speckle propagation through the turbulent atmosphere. The treatment includes the effects of the turbulent atmosphere on the laser beam as it propagates to the target and on the speckle as it propagates back to the receiver. Formulations have been developed for both the focused and collimated cases. It is assumed in the analysis that phase perturbation of the waves is the dominant effect due to the atmosphere. Utilizing this assumption it can be shown that the fields at the receiver are marginally Gaussian and that the space-averaged, spatial power spectral density at the receiver is 'white'.

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