Integral momenta of Bessel-Gaussian beams in randomly inhomogeneous medium

摘要

In the given paper results of theoretical researches of the integral momenta of the vortex Bessel-Gaussian optical beams propagating in turbulent atmosphere are resulted. In particular, features of behavior of a flux of optical radiation of vortex Bessel-Gaussian beams from beam parameters, namely, the transverse wave number of optical radiation, radius of the amplitude factor, and, especially, topological charge are analyzed in detail. It is shown, that mean value of the orbital angular momentum of a vortex Bessel-Gaussian beam remains to constants at propagation in atmosphere, and the variance of fluctuations of the orbital angular momentum of the vortex Bessel-Gaussian beam calculated with the "mean-intensity" approximation is identically equal to zero. On the basis of these results it is possible to draw a conclusion that the value of a variance of fluctuations of the orbital angular momentum of a vortex Bessel-Gaussian beam propagating in turbulent atmosphere is always small.