The propagation characteristics of the conical hollow beams in the turbulent atmosphere

•The model used of the conical hollow beams(CHBs) in the turbulent atmosphere is constructed.•The self-focusing effect can be strengthened by the turbulence when the conical angle equals to zero.•The self-focusing effect of the hollow beams is disappeared under the conditions of parallel conical transmission.

In this paper, by using the Collins formula and the Rytov method, the model used to descript the propagation properties of the conical hollow beams(CHBs) in the turbulent atmosphere is firstly constructed and the simulation is made by the numerical method. The results show that the initial transmission angle has important influence on the propagation properties. Beside these, the index structure constant and the order number also can influence the transverse intensity distribution. So according to the model, the intensity distribution of the conical hollow beams in the turbulent atmosphere can be controlled by adjusting these parameters.