Fig. 1. Intensity distributions of the cBG beams

Fig. 2. Phase distributions of the cBG beams

Fig. 3. Orbital angular momentum spectrum

Fig. 4. The relative crosstalk energy $c_{l_{\mathrm{1}}}$ in the atmosphere varies with the initial angular quantum number l₂，v_x=2m/s

Fig. 5. The relative crosstalk energy $c_{l_m}$，v_x=2m/s

Fig. 6. Intensity distributions of the rotating cBG beam in free space，k_r（1）=150 m^-1，k_r（2）=200 m^-1

Fig. 7. Intensity distributions in the atmosphere

Fig. 8. Orbital angular momentum spectrum in the atmosphere

Fig. 9. The relative crosstalk energy $c_{l_{\mathrm{1}}}$ of the rotating cBG beams in the atmosphere varies with the propagation distance z，k_r（1）=150 m^-1