Scintillation of focused beam waves in a turbulent medium as a first-order solution of the moment equation.
An exact integral representation of the fourth-order moment function was previously obtained for a general class of beam waves. It is applied here to evaluate specifically the intensity-correlation function based on the Kolmogorov spectrum of turbulence. The beam waves are described by introducing two new parameters that have a more basic and simpler meaning than the conventionals. Many illustrations are presented, not only as a function of propagation distance but also as a function of two independent distances of separation from the beam axis, for varieties of location of the focal plane, beam width, and inner scale of turbulence. The significance of the present evaluation of the intensity moment is discussed in connection with the moments of higher order.
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