Variance of intensity for a discrete-spectrum, polychromatic speckle field after propagation through the turbulent atmosphere

Abstract
The extended Huygens–Fresnel principle is used to develop formulations for the variance of the received intensity for a discrete-spectrum, polychromatic speckle field after propagation through the turbulent atmosphere. This principle takes into account the effects of the turbulent atmosphere on a polychromatic laser beam as it propagates to an incoherent target and on the resultant speckle field as it propagates back to the receiver. It is found that the variance of the received intensity can be increased substantially by atmospheric turbulence and that, for the purpose of formulating the variance, under certain conditions the source can be completely characterized by its vacuum speckle contrast ratio.

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