Fig. 1. Evolution of the spectral density of the multi-Gaussian Schell-model beams propagating in turbulent atmosphere (solid curve N=1，dashed curve N=4，dotted curve N=10，and dash-dotted curve N=40)^[82]

Fig. 2. Normalized propagation factor of multi-Gaussian Schell-model beams propagating in turbulent atmosphere^[37]

Fig. 3. 3D-normalized spectral intensity distribution (a) and S(0,z)/S_max(ρ,z) ratio of the spectral intensity (b) of Hermite-Gaussian correlated Schell-model beams on propagation in turbulent atmosphere^[48]

Fig. 4. Normalized propagation factors of Hermite-Gaussian correlated Schell-model beams in x direction (a) and y direction (b) in turbulent atmosphere^[48]

Fig. 5. Beam wander of Hermite-Gaussian correlated Schell-model beams in turbulent atmosphere in theory and experiment^[61]

Fig. 6. Evolution of the spectral density of the non-uniformly correlated beams in free space^[95]

Fig. 7. Evolution of the (a) scintillation and (b) spectral density of non-uniformly correlated beams in turbulent atmosphere^[96]

Fig. 8. Evolution of the spectral density of the Hermite non-uniformly correlated beams in turbulent atmosphere^[59]

Fig. 9. Normalized intensity on-axis (a)～(c) and scintillation on-axis (d)～(f) of Hermite non-uniformly correlated beams in turbulent atmosphere^[59]

Fig. 10. Evolution of spectral intensity of Hermite non-uniformly correlated array beams with (a) m = 1，p = q = 1，r_c= 3 cm，x₀= y₀= 3 cm；(b) m = 1，p = q = 1，r_c= 3 cm，x₀= y₀= 5 cm；(c) m = 2，p = q = 1，r_c= 3 cm，x₀= y₀= 5 cm；(d) m = 2，p =q = 2，r_c= 3 cm，x₀= y₀= 5 cm；(e) m = 2，p = q = 2，r_c= 5 cm，x₀= y₀= 5 cm in turbulent atmosphere^[67]

Fig. 11. Evolution of ratio intensity and degree of polarization of radially polarized Hermite non-uniform correlation beams in free space^[98]

Fig. 12. Evolution of spectral intensity of (a) conventional radially polarized partially coherent beams and radially polarized Hermite non-uniform correlation beams with different mode orders (b) m=0 (c) m=1 in turbulent atmosphere^[66]

Fig. 13. Ratio of the spectral intensity of radially polarized Hermite non-uniform correlation beam in turbulence atmosphere^[66]

Fig. 14. Percentage of intensity of the completely polarized portion of radially polarized Hermite non-uniform correlation beam in turbulence atmosphere^[66]