Infrared and Laser Engineering, Volume. 53, Issue 7, 20240100(2024)
Optical design of bi-telecentric system with large numerical aperture for the triangulation measurement
Figures & Tables(16)
Fig. 1. Line laser triangulation instrument composition and working principle diagram
Fig. 2. Bitelecentric imaging optical path diagram based on Scheimpflug law
Fig. 8. Spot diagram of different field in two-dimentional Q-type freeform surface system
Table 1. Optical system parameters
View tableView in ArticleTable 1. Optical system parameters
Parameter Value Wavelength/nm 405 Measuring range/mm 10 $ \times $ Detector pixel size/μm 3.45 Inclination angle of object plane/(°) 35 Inclination angle of image plane/(°) 25.22 Numerical aperture 0.20 Transverse magnification 1.009 Longitudinal magnification 1.0045
Table 2. Structural parameters of imaging optical system
View tableView in ArticleTable 2. Structural parameters of imaging optical system
Surface number Radius/mm Thickness/mm Nd Vd S1 23.35 9.0 1.84 42.73 S2 −102.63 0.2 S3 51.39 12.2 1.84 42.73 S4 253.58 15.4 S5 172.80 7.5 1.84 42.73 S6 34.48 11.8 S7 −54.87 6 1.84 42.73 S8 266.88 1.3 Stop ∞ 12.1 S9 −29.71 8.0 1.84 42.73 S10 −51.19 28.7 S11 −964.27 9.5 1.84 42.73 S12 −64.04 1.2 S13 72.05 9.0 1.84 42.73 S14 −906.60 76.1
Table 3. Structural parameters of freeform surfaces
View tableView in ArticleTable 3. Structural parameters of freeform surfaces
Surface item S2 S6 S9 S14 5 0.0453 −0.0284 0.0038 0.0005 8 −0.5544 0.1575 0.0027 0.0068 9 −0.6233 0.2326 −0.3457 −0.6243 11 −0.2150 0.0071 −0.0030 −0.0077 12 0.0137 −0.0069 −0.0012 0.0024 15 −0.0596 −0.0016 −0.0028 0.0036 16 0.0195 −0.0134 0.3204 −0.2045 20 −0.0015 0.0005 0.0003 −0.0001 21 0.0015 0 0 0 24 −0.0515 0.4003 0.0002 0.0007 25 0.0004 0.0710 −0.0514 0.0002 31 0.0001 0 0 0 32 0 0 0 0
Table 4. Distortion of each field of view of optical system
View tableView in ArticleTable 4. Distortion of each field of view of optical system
Field position/mm Distortion （0, 7） 0.00% （0, −7） 0.00% （3.5, 4.9） −0.12% （−3.5, −4.9） 0.12% （5, 0） −0.12% （5, 7） −0.19% （5, −7） −0.21%
Table 5. Chief ray angle of optical system
View tableView in ArticleTable 5. Chief ray angle of optical system
Field position/mm Exit angle/(°) Incidence angle/(°) （0, 0） 0.093 0.023 （0, 7） 0.169 −0.245 （0, −7） 0.088 0.297 （3.5, 4.9） 0.190 −0.174 （−3.5, −4.9） 0.118 0.225 （5, 0） 0.177 0.025 （5, 7） 0.095 −0.200 （5, −7） 0.095 0.257
Table 6. Design results
View tableView in ArticleTable 6. Design results
Parameter Value Numerical aperture 0.2 MTF@145 lp/mm ≥0.6 Center field point diagram RMS/μm 1.1 Edge field point diagram RMS/μm 2.2 Max distortion 0.21% Object side telecentricity/(°) 0.19 Image side telecentricity/(°) 0.297
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Zhecheng ZHAO, Jiacheng ZHU, Xuefeng LIU, Lingling SONG, Xinhua CHEN, Weimin SHEN. Optical design of bi-telecentric system with large numerical aperture for the triangulation measurement[J]. Infrared and Laser Engineering, 2024, 53(7): 20240100
Paper Information
Category: Optical design
Received: Mar. 4, 2024
Accepted: --
Published Online: Aug. 9, 2024
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