Based on partially coherent Bessel–Gaussian beams (BGBs), the coherence evolution of the partially coherent beams carrying optical vortices in non-Kolmogorov turbulence is investigated in detail. The analytical formulas for the spatial coherence length of partially coherent BGBs with optical vortices in non-Kolmogorov turbulence have been derived by using the combination of a coherence superposition approximation of decentered Gaussian beams and the extended Huygens–Fresnel principle. The influences of beam and turbulence parameters on spatial coherence are investigated by numerical examples. Numerical results reveal that the coherence of the partially coherent laser beam with vortices is independent of the optical vortices, and the spatial correlation length of the beams does not decrease monotonically during propagation in non-Kolmogorov turbulence. Within a certain propagation distance, the coherence of the partially coherent beam will improve, and the improvement of the coherence of the partially coherent beams is closely related to the beam and turbulence parameters.
© 2013 Optical Society of America
Coherence and Statistical Optics
Original Manuscript: August 7, 2013
Revised Manuscript: October 17, 2013
Manuscript Accepted: October 20, 2013
Published: November 20, 2013
Zhiyuan Qin, Rumao Tao, Pu Zhou, Xiaojun Xu, and Zejin Liu, "Coherence evolution of partially coherent beams carrying optical vortices propagating in non-Kolmogorov turbulence," Appl. Opt. 52, 8176-8183 (2013)