• Laser & Optoelectronics Progress
  • Vol. 60, Issue 19, 1908001 (2023)
Yiqing Cao1、2、*
Author Affiliations
  • 1School of Mechanical and Electrical Information Engineering, Putian University, Putian 351100, Fujian, China
  • 2Fujian Laser Precision Machining Engineering Technology Research Center, Putian 351100, Fujian, China
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    DOI: 10.3788/LOP202360 Cite this Article Set citation alerts
    Yiqing Cao. Design of Off-Axis All-Reflective Three-Gear Zoom Optical System with Long Focal Length[J]. Laser & Optoelectronics Progress, 2023, 60(19): 1908001 Copy Citation Text show less
    Structure and optical scheme of coaxial four-mirror reflective zoom optical system
    Fig. 1. Structure and optical scheme of coaxial four-mirror reflective zoom optical system
    Flow chart of solving initial structure parameters of coaxial four-reflective mirrors zoom optical system using adaptive variation probability genetic algorithm
    Fig. 2. Flow chart of solving initial structure parameters of coaxial four-reflective mirrors zoom optical system using adaptive variation probability genetic algorithm
    Structure and optical scheme of off-axis four-mirror reflective three-gear zoom optical system. (a) f'=300 mm; (b) f'=600 mm; (c) f'=900 mm
    Fig. 3. Structure and optical scheme of off-axis four-mirror reflective three-gear zoom optical system. (a) f'=300 mm; (b) f'=600 mm; (c) f'=900 mm
    MTF curve diagram of off-axis four-mirror reflective three-gear zoom optical system.(a)f'=300 mm;(b)f'=600 mm;(c)f'=900 mm
    Fig. 4. MTF curve diagram of off-axis four-mirror reflective three-gear zoom optical system.(a)f'=300 mm;(b)f'=600 mm;(c)f'=900 mm
    SurfaceTypeRadius /mmThickness /mm
    f'=300 mmf'=600 mmf'=900 mm
    STOPStandardInifinity150.00
    Coordinate Break0.00
    M1Even Asphere-291.670.00
    Coordinate Break-105.44
    M2Even Asphere-121.360.00
    Coordinate Break141.82118.73112.19
    M3Even Asphere477.050.00
    Coordinate Break-135.35-116.87-108.46
    M4Even Asphere132.27118.30169.87230.43
    Table 1. Structural parameters of off-axial four-mirror reflective three-gear zoom optical system
    MirrorAspherical cofficient
    Conic4th order term6th order term8th order term10th order term
    M1-1.114-2.051×10-10-3.742×10-152.194×10-19-3.764×10-24
    M2-3.5446.310×10-8-5.512×10-12-2.048×10-165.376×10-20
    M316.5285.847×10-8-6.097×10-121.745×10-16-1.807×10-20
    M4-0.3071.639×10-8-5.011×10-121.830×10-15-2.237×10-19
    Table 2. Aspherical coefficients of each reflective mirror
    MirrorTilt along X axis /(°)Decenter along Y axis /mm
    M11.200-130.000
    M2-0.7781.421
    M3-10.526-87.322
    M4-5.72957.525
    Table 3. Final tilts and decenters of each mirror
    No.f'=300 mmf'=600 mmf'=900 mm
    X /(°)Y /(°)X /(°)Y /(°)X /(°)Y /(°)
    1-0.2-0.3-0.15-0.2-0.1-0.1
    2-0.14-0.21-0.105-0.140.070.07
    3000000
    40.140.210.1050.140.070.07
    50.20.30.150.20.10.1
    Table 4. Field of view angle selected for imaging performance analysis of optical system
    Field of view angle /(°)RMS radius /μmField of view angle /(°)RMS radius /μmField of view angle /(°)RMS radius /μm
    f'=300 mmf'=600 mmf'=900 mm
    (-0.2°,-0.3°)9.039(-0.15°,-0.2°)11.529(-0.1°,-0.1°)7.665
    (-0.14°,-0.21°)7.187(-0.105°,-0.14°)6.685(-0.07°,-0.07°)7.205
    (0°,0°)4.019(0°,0°)6.431(0°,0°)6.454
    (0.14°,0.21°)5.548(0.105°,0.14°)4.482(0.07°,0.07°)5.857
    (0.2°,0.3°)6.910(0.15°,0.2°)4.087(0.1°,0.1°)5.908
    Table 5. RMS radii of spot diagram of field of view angles listed in Table 4 at three-gear zoom position of optical system
    Yiqing Cao. Design of Off-Axis All-Reflective Three-Gear Zoom Optical System with Long Focal Length[J]. Laser & Optoelectronics Progress, 2023, 60(19): 1908001
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