Fig. 1. RLC model and RLC table results with the effective radius Reff'. (a) Reflectivity-extinction ratio at 1064 nm (Z/α₁₀₆₄); (b) reflectivity-backscattering ratioat 1064 nm (Z/β₁₀₆₄); (c) lidar ratio at 1064 nm (R_L,1064); (d) reflectivity-extinction ratio at 532 nm (Z/α₅₃₂); (e) reflectivity-backscattering ratioat 532 nm (Z/β₅₃₂); (f) lidar ratio at 532 nm (R_L,532)

Fig. 2. Flow chart of retrieving boundary values of backscattering coefficient at the reference height

Fig. 3. Images for the main parameters in the inversion when the simulation parameters i=53 and j=52 (white box). (a)Effective radius for 1064 nm (Reff,1064'); (b) effective radius for 532 nm (Reff,532'); (c) error of backscattering coefficient for 1064 nm (Ddiff,1064); (d) error of backscattering coefficient for 532 nm (Ddiff,532)

Fig. 4. Scatter plot distribution of simulated values and RLC method values. (a) Effective radius Reff'; (b) backscattering coefficient β at 1064 nm and 532 nm

Fig. 5. Simulated values and RAE of inversion results of RLC method. (a) Simulated value of effective radius Reff'; (b) simulated value of backscattering coefficient at 1064 nm (β₁₀₆₄); (c) simulation value of backscattering coefficient at 532 nm (β₅₃₂); (d) RAE of Reff'; (e) RAE of β₁₀₆₄; (f) RAE of β₅₃₂

Fig. 6. Inversion profiles of aerosol backscattering coefficient and their relative errors. (a) 1064 nm backscattering coefficient and its simulated value; (b) relative error of 1064 nm backscattering coefficient; (c) 532 nm backscattering coefficient and its simulated value; (d) relative error of 532 nm backscattering coefficient

Fig. 7. Time-height cross section of backscattering coefficient on Nov. 14, 2019. (a) Backscattering coefficient obtained by Fernald method at 1064 nm; (b) backscattering coefficient obtained by Fernald method at 532 nm; (c) backscattering coefficient obtained by RLC method at 1064 nm; (d) backscattering coefficient obtained by RLC method at 532 nm

Fig. 8. Inversion results on Nov. 14, 2019 by RLC method (line with marker) and Fernald method (line without marker).(a) Backscattering coefficient at 1064 nm (β₁₀₆₄); (b) backscattering coefficient at 532 nm (β₅₃₂)

Fig. 9. Time-height cross section of backscattering coefficient on Dec. 18, 2019. (a) Backscattering coefficient obtained by Fernald method at 1064 nm; (b) backscattering coefficient obtained by Fernald method at 532 nm; (c) backscattering coefficient obtained by RLC method at 1064 nm; (d) backscattering coefficient obtained by RLC method at 532 nm

Fig. 10. Inversion results on Dec. 18, 2019 by RLC method (line with marker) and Fernald method (line without marker).(a) Backscattering coefficient at 1064 nm (β₁₀₆₄); (b) backscattering coefficient at 532 nm (β₅₃₂)