Fig. 1. Intensity distribution of the focused LG beam propagating at different distances in vacuum

Fig. 2. Spiral spectrum distribution of LG beam (a) and focused LG beam (b) at different distances in turbulence

Fig. 3. Receiving power of LG and focused LG beams in turbulence under different beam parameters: (a) Wavelength; (b) topological charge; (c) waist radius; (d) receiving aperture.

Fig. 4. Receiving power of LG and focused LG beams in turbulence under different turbulence parameters: (a) Distance; (b) turbulence intensity; (c) turbulence internal scale; (d) anisotropy coefficient.

Fig. 5. Multiphase screen method to simulate the propagation of focused LG beam in turbulence

Fig. 6. Spiral spectrum distribution of LG and focused LG beams propagation at different distances in atmospheric turbulence