Bessel-Gaussian beam phase fluctuations in randomly inhomogeneous media

Bessel-Gaussian beam phase fluctuations in randomly inhomogeneous media are studied. The results of calculations by the method of smooth perturbations of the variance of phase fluctuations of the above type of beams in the turbulent atmosphere are presented. The effect of the relative weakening of Bessel-Gaussian beam phase fluctuations in comparison with the case of a plane wave is revealed. A weak dependence of the phase fluctuation variance on the parameters of the Gaussian beam factor is observed. Gaussian beam phase fluctuations are spatially inhomogeneous: the ratio of the variances of the beam phase fluctuations at an out-of-optical-axis point to those at its optical axis is minimum in the Bessel beam maxima and maximum in the minima. © 2010, Pleiades Publishing, Ltd.