Fig. 1. Illustration of focused beam propagation through atmospheric turbulence

Fig. 2. Light intensity and polarization distributions of vector beams. (a) Lemon vector beam; (b) radially polarized vector beam

Fig. 3. Radius comparison of 63.2% encircled energy of focused Gaussian beam, lemon vector beam, and radially polarized vector beam with different focal lengths at their corresponding focal planes for $C_n^{\mathrm{2}}=$3.9$\times {\mathrm{10}}^{-\mathrm{15}}{\mathrm{m}}^{-\mathrm{2}/\mathrm{3}}$

Fig. 4. Average intensity and instantaneous intensity distributions of focused Gaussian beam, lemon vector beam, and radially polarized vector beam with different focal lengths at their corresponding focal planes for $C_n^{\mathrm{2}}=$3.9$\times {\mathrm{10}}^{-\mathrm{15}}{\mathrm{m}}^{-\mathrm{2}/\mathrm{3}}$. (a) Gaussian beam; (b) lemon vector beam; (c) radially polarized vector beam

Fig. 5. Radius comparison of 63.2% encircled energy of focused Gaussian beam, lemon beam, and radially polarized beam with different focal lengths at their corresponding focal planes for $C_n^{\mathrm{2}}=\mathrm{1}\times {\mathrm{10}}^{-\mathrm{14}}{\mathrm{m}}^{-\mathrm{2}/\mathrm{3}}$

Fig. 6. Average intensity and instantaneous intensity distributions of focused Gaussian beam, lemon vector beam, and radially polarized vector beam with different focal lengths at their corresponding focal planes for $C_n^{\mathrm{2}}=\mathrm{1}\times {\mathrm{10}}^{-\mathrm{14}}{\mathrm{m}}^{-\mathrm{2}/\mathrm{3}}$. (a) Gaussian beam; (b) lemon vector beam; (c) radially polarized vector beam

Fig. 7. Comparison of radii of 63.2% encircled energy and average peak power densities of focused Gaussian beam, lemon vector beam, and radially polarized vector beam with 1000 m focal lengths at their corresponding focal planes for different turbulent conditions. (a) Radii of 63.2% encircled energy; (b) average peak power densities

Fig. 8. Scintillation indices of focused Gaussian beam, lemon vector beam, and radially polarized vector beam with different focal lengths at their corresponding focal planes for different turbulence. (a) $C_n^{\mathrm{2}}=$3.9$\times {\mathrm{10}}^{-\mathrm{15}}{\mathrm{m}}^{-\mathrm{2}/\mathrm{3}}$; (b) $C_n^{\mathrm{2}}=\mathrm{1}\times {\mathrm{10}}^{-\mathrm{14}}{\mathrm{m}}^{-\mathrm{2}/\mathrm{3}}$