Abstract

Coherent properties of vortex conical waves propagating through a turbulent atmosphere are theoretically studied with the use of the analytical solution of an equation that describes the evolution of the second-order transverse mutual coherence function of an optical radiation field. The following parameters of vortex conical waves are considered: the degree of coherence, the coherence radius, the integral scale of the degree of coherence, and the integral scale of the squared degree of coherence. The effect of atmospheric turbulence on these coherence characteristics of vortex conical waves is analyzed at different values of their parameters. It turns out that the degree of coherence of a vortex conical wave, formed from a Gaussian beam while passing through a conical lens (axicon) and a spiral phase plate, at its optical axis, is almost independent of the initial radius of the Gaussian beam and the radius of the axicon aperture. In addition, all the coherence characteristics of vortex conical waves depend on the topological charge stronger than on the wave-vector component normal to the radiation propagation direction. A meter of the integral scale of the degree of coherence of vortex Bessel-like optical beams is shown to be a preferred sensor of optical radiation distortions in a turbulent atmosphere as compared to a meter of the coherence radius of such beams. A lower degree of coherence of vortex conical waves than of fundamental (vortex-free) conical waves in a turbulent atmosphere is proven with the use of the integral scale of the degree of coherence of these optical waves as a referent criterion.

© 2020 Optical Society of America

Mean intensity of vortex Bessel beams propagating in turbulent atmosphere

Igor P. Lukin
Appl. Opt. 53(15) 3287-3293 (2014)

Integral momenta of vortex Bessel–Gaussian beams in turbulent atmosphere

Igor P. Lukin
Appl. Opt. 55(12) B61-B66 (2016)

Influence of source parameters and atmospheric turbulence on the polarization properties of partially coherent electromagnetic vortex beams

Jiao Wang, Xizheng Ke, and Mingjun Wang
Appl. Opt. 58(24) 6486-6494 (2019)

Propagation of a partially coherent hollow vortex Gaussian beam through a paraxial ABCD optical system in turbulent atmosphere

Guoquan Zhou, Yangjian Cai, and Xiuxiang Chu
Opt. Express 20(9) 9897-9910 (2012)

Orbital angular momentum spectrum of pin-like optical vortex beams in turbulent atmosphere

Jiaxuan Cao, Lu Han, Huijian Liang, Gaofeng Wu, and Xiaoyan Pang
J. Opt. Soc. Am. A 39(8) 1414-1419 (2022)