Author Affiliations
1Communication Sergeant School, Army Engineering University of PLA, Chongqing 400035, China2National Astronomical Observatory, Chinese Academy of Sciences, Beijing 100101, China3Unit 78092 of PLA, Chengdu , Sichuan 610036, Chinashow less
Fig. 1. Particle position update method
Fig. 2. Curves of fitting formula for refractive index structure constant
Fig. 3. Flowchart of the improved PSO algorithm
Fig. 4. Comparison of the fitted profiles and the statistical average profiles of for different periods in Ali. (a) In the morning; (b) in the evening
Fig. 5. EBIAS between the profile of fitting model and the statistical average profiles in the morning and evening of Ali. (a) In the morning; (b) in the evening
Fig. 6. [in Chinese]
Fig. 7. EBIAS between the profile of fitting model and the statistical average profiles for different seasons of Ali. (a) In the spring; (b) in the summer; (c) in the autumn; (d) in the winter
Fig. 8. Comparison of turbulence profile model optimization curves in autumn
Method | Spring | Summer | Autumn | Winter |
---|
SPGD | 0.9989 | 0.9895 | 0.9918 | 0.9989 | Our method | 0.9995 | 0.9977 | 0.9992 | 0.9996 |
|
Table 0. R2 of four seasons turbulence profile models
Time | a1 | a2 | a3 | b1 | b2 | b3 | c0 | hT |
---|
Morning | 4.435×10-20 | 1.302×10-17 | 8.629×10-16 | 2.064 | 3.061 | 0.032 | 3.881 | 5.3 | Evening | 7.453×10-20 | 2.456×10-18 | 1.162×10-16 | 1.978 | 5.195 | 0.028 | 3.743 | 5.1 |
|
Table 1. Turbulence profile model constants in the morning and evening
Time | β0 | β1 | β2 | β3 | β4 | β5 | β6 | β7 |
---|
Morning | -16.66 | -1.479 | 1.416 | -0.569 | 0.1023 | -0.00692 | 0 | 0 | Evening | -18.46 | 2.167 | -2.289 | 1.034 | -0.1997 | 0.01376 | 0 | 0 |
|
Table 2. Turbulence profile model coefficients in the morning and evening
Method | Morning | Evening |
---|
SPGD | 0.9983 | 0.9707 | Our method | 0.9997 | 0.9976 |
|
Table 3. R2 of turbulence profile model in the morning and evening
Season | a1 | a2 | a3 | b1 | b2 | b3 | c0 | hT |
---|
Spring | 1.702×10-20 | 4.013×10-18 | 3.812×10-16 | 1.376 | 5.964 | 0.030 | 5.385 | 10.4 | Summer | 9.587×10-29 | 6.411×10-18 | 1.772×10-16 | 0.813 | 4.727 | 0.0207 | 15.399 | 10.3 | Autumn | 3.571×10-21 | 5.081×10-18 | 2.423×10-16 | 1.402 | 5.102 | 0.0293 | 5.967 | 5.0 | Winter | 3.701×10-21 | 7.590×10-18 | 6.098×10-16 | 1.391 | 4.994 | 0.0329 | 6.014 | 9.8 |
|
Table 4. Model constants of turbulent profiles in four seasons
Season | β0 | β1 | β2 | β3 | β4 | β5 | β6 | β7 |
---|
Spring | -17.3625 | -0.7477 | 0.779 | -0.30482 | 0.05486 | -0.004568 | 0.0001425 | 0 | Summer | -17.39 | -0.2824 | 0.3231 | -0.0981 | 0.011 | -0.000421 | 0 | 0 | Autumn | -15.607 | -10.598 | 18.91 | -15.95 | 7.145 | -1.74 | 0.2176 | -0.010954 | Winter | -16.799 | -1.47205 | 1.25 | -0.4465 | 0.07668 | -0.006254 | 0.0001944 | 0 |
|
Table 5. Model coefficients of turbulent profiles in four seasons
Time | Method in Ref.[36] | Method in Ref.[41] | Method in Ref.[42] | Our method |
---|
Morning | 1.4808 | 1.4808 | 1.4796 | 1.4795 | Evening | 0.9471 | 0.9468 | 0.9469 | 0.9465 | Spring | 1.2292 | 1.2296 | 1.2286 | 1.2277 | Summer | 1.4931 | 1.4945 | 1.4921 | 1.4916 | Autumn | 1.6139 | 1.6143 | 1.6131 | 1.6122 | Winter | 1.7725 | 1.7725 | 1.7725 | 1.7725 |
|
Table 7. Convergence accuracy results
Time | Method in Ref.[36] | Method in Ref.[41] | Method in Ref.[42] | Our method |
---|
Morning | 89 | 196 | 203 | 57 | Evening | 184 | 209 | 202 | 186 | Spring | 109 | 201 | 202 | 103 | Summer | 62 | 206 | 201 | 103 | Autumn | 206 | 220 | 209 | 65 | Winter | 132 | 198 | 219 | 55 |
|
Table 8. Convergence rate results