Infrared and Laser Engineering, Volume. 50, Issue 12, 20210365(2021)
Design of freeform surface off-axis reflective optical systems based on quantum genetic algorithm
Figures & Tables(13)
Fig. 1. Schematic diagram of the initial structure of the on-axis three-mirror system
Fig. 4. (a) Layout and (b) MTF of the initial structure of the on-axis three-mirror system
Fig. 5. Schematic diagram of (a) layout constraint and (b) expansion the field of view
Fig. 6. Optical system: (a) Structure layout；(b) Integrated simulation of
Fig. 7. Performance evaluation of off-axis three-mirror system with freeform surface. (a) Encircle energy in the field of view; (b) RMS wavefront error; (c) MTF
Table 1. Optical system parameters
View tableView in ArticleTable 1. Optical system parameters
Parameter Specification Field of view/(°) 10×4 F-number 2 Wavelength/nm 400-760 Effective focal length/mm 120 MTF/lp·mm−1 >0.9@50 Pixel size/μm 10
Table 2. Ranges of parameters
View tableView in ArticleTable 2. Ranges of parameters
Parameter α1 α2 $ - e_1^2$ $ - e_2^2$ $ - e_3^2$ Range [0.1,0.5] [1.5,2.1] [−5,5] [−5,5] [−5,5]
Table 3. Quantum gate rotation update strategy
View tableView in ArticleTable 3. Quantum gate rotation update strategy
xi besti f(x)>f(besti) Δθi s(Ai,Bi) AiBi>0 AiBi<0 Ai=0 Bi=0 0 0 False 0 0 0 0 0 0 0 True 0 0 0 0 0 0 1 False 0.01π 1 −1 0 ±1 0 1 True 0.01π −1 1 ±1 0 1 0 False 0.005π −1 1 ±1 0 1 1 True 0.005π 1 −1 0 ±1 1 1 False 0 0 0 0 0 1 1 True 0 0 0 0 0
Table 4. Initial configuration parameters of the on-axis three-mirror system
View tableView in ArticleTable 4. Initial configuration parameters of the on-axis three-mirror system
Mirror Radius/mm Thickness/mm Conic M1 −467.19 −141.68 0.117 M2 −109.60 141.68 2.052 M3 −143.19 −96.51 −0.044
Table 5. Polynomial coefficients of freeform surface for three-mirror system
View tableView in ArticleTable 5. Polynomial coefficients of freeform surface for three-mirror system
Item M1 M2 M3 y −5.825E-003 −1.148E-003 −5.519E-004 x2 −1.352E-003 2.242E-004 −1.851E-004 y2 −1.336E-003 2.196E-004 −1.895E-004 x2y 1.374E-008 −4.828E-008 −5.616E-009 y3 −2.060E-008 −1.371E-007 −6.372E-009 x4 7.533E-010 1.052E-010 −3.402E-010 x2y2 1.136E-009 −2.277E-010 −7.071E-010 y4 6.287E-010 −1.3E-010 −3.559E-010 x4y −2.124E-012 3.946E-014 x2y3 1.941E-013 6.297E-014 y5 −7.222E-015 8.015E-014 x6 −3.345E-015 −1.147E-015 x4y2 8.395E-015 −4.474E-015 x2y4 −2.407E-015 −5.253E-015 y6 −7.531E-016 −1.681E-015
Table 6. Final configuration parameters of the off-axis three-mirror system
View tableView in ArticleTable 6. Final configuration parameters of the off-axis three-mirror system
Mirror Radius/mm Thickness/mm Conic M1 −436.92 −218.86 −1.611 M2 −243.10 218.86 3.461 M3 −329.40 −240.47 0.548
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Lin Miao, Boyu Tian, Nianchun Sun, Bin Zhang. Design of freeform surface off-axis reflective optical systems based on quantum genetic algorithm[J]. Infrared and Laser Engineering, 2021, 50(12): 20210365
Paper Information
Category: Optical design
Received: Jun. 2, 2021
Accepted: --
Published Online: Feb. 9, 2022
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