Abstract
Analytical formulas of the propagation parameters (including the angular width and propagation factor) of the Lommel–Gaussian beams in atmospheric turbulence are derived on the basis of extended Huygens–Fresnel integral and second-order moments of Wigner distribution function. Evolution properties of the propagation parameters of Lommel–Gaussian beams propagating in atmospheric turbulence are investigated numerically. The results show that the Lommel–Gaussian beams are less affected with smaller structure constant, as well as bigger orbital angular momentum quantum number, wavelength, and inner scale. Furthermore, the beam propagation is independent of the modulus of the asymmetry parameter. The results may be useful for the practical application of the Lommel–Gaussian beam in free space optical communications.
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