• Infrared and Laser Engineering
  • Vol. 53, Issue 12, 20240364 (2024)
Bingrui ZHANG1, Zhiwang YANG2, Chenzhong ZHANG1, and Weihua ZHAO3
Author Affiliations
  • 1Tianjin Jinhang Institute of Technical Physics, Tianjin 300308, China
  • 2The Third Military Representative Office of Air Force Armament Department in Tianjin, Tianjin 301800, China
  • 3Troop 92862, Shantou 515074, China
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    DOI: 10.3788/IRLA20240364 Cite this Article
    Bingrui ZHANG, Zhiwang YANG, Chenzhong ZHANG, Weihua ZHAO. Application of Alvarez lens in small movement infrared zoom lens[J]. Infrared and Laser Engineering, 2024, 53(12): 20240364 Copy Citation Text show less
    Alvarez lens change focal length
    Fig. 1. Alvarez lens change focal length
    Fringe Zernike wave aberration coefficient of Alvarez lens when f'=50 mm. (a) d=5 mm, t=0.5 mm; (b) Aperture is 25 mm, t=0.5 mm; (c) Aperture is 25 mm, d=10 mm
    Fig. 2. Fringe Zernike wave aberration coefficient of Alvarez lens when f'=50 mm. (a) d=5 mm, t=0.5 mm; (b) Aperture is 25 mm, t=0.5 mm; (c) Aperture is 25 mm, d=10 mm
    Wavefront aberration vs field, f'=50 mm, apeture is 25 mm, t=0.5 mm, d=10 mm
    Fig. 3. Wavefront aberration vs field, f'=50 mm, apeture is 25 mm, t=0.5 mm, d=10 mm
    Aberration field center on x direction with different apertures and d when f'=50 mm, t=0.5 mm
    Fig. 4. Aberration field center on x direction with different apertures and d when f'=50 mm, t=0.5 mm
    Aberration field center on x direction vs t when f'=50 mm, aperture is 25 mm and d=10 mm
    Fig. 5. Aberration field center on x direction vs t when f'=50 mm, aperture is 25 mm and d=10 mm
    Five group zoom lens
    Fig. 6. Five group zoom lens
    Design result for zoom lens
    Fig. 7. Design result for zoom lens
    MTF for each zoom
    Fig. 8. MTF for each zoom
    Optical power and decenter of Alvarez lens. (a) Relation between φ2 and φ4; (b) Relation between the decenter of Alvarez lens and the focal length
    Fig. 9. Optical power and decenter of Alvarez lens. (a) Relation between φ2 and φ4; (b) Relation between the decenter of Alvarez lens and the focal length
    Astigmatism field map
    Fig. 10. Astigmatism field map
    Coma field map
    Fig. 11. Coma field map
    Fringe Zernike termFringe Zernike polynomialxy polynomial
    7$ \left( {3{\rho ^3} - 2\rho } \right)\cos \theta $$ x,{x^3},x{y^2} $
    9$ 6{\rho ^4} - 6{\rho ^2} + 1 $$ {x^2},{y^2},{x^4},{x^2}{y^2},{y^4} $
    10$ {\rho ^3}\cos \left( {3\theta } \right) $$ {x^3},x{y^2} $
    14$ \left( {10{\rho ^5} - 12{\rho ^3} + 3\rho } \right)\cos \theta $$ x,{x^3},x{y^2},{x^5},{x^3}{y^2},x{y^4} $
    16$ 20{\rho ^6} - 30{\rho ^4} + 12{\rho ^2} - 1 $$ {x^2},{y^2},{x^4},{x^2}{y^2},{y^4},{x^6},{x^4}{y^2},{x^2}{y^4},{y^6} $
    17$ {\rho ^4}\cos \left( {4\theta } \right) $$ {x^4},{x^2}{y^2},{y^4} $
    19$ \left( {5{\rho ^5} - 4{\rho ^3}} \right)\cos \left( {3\theta } \right) $$ {x^3},x{y^2},{x^5},{x^3}{y^2},x{y^4} $
    28$ \left( {6{\rho ^6} - 5{\rho ^4}} \right)\cos \left( {4\theta } \right) $$ {x^4},{x^2}{y^2},{y^4},{x^6},{x^4}{y^2},{x^2}{y^4},{y^6} $
    Table 1. Correspondence between the order of Fringe Zernike polynomial and xy polynomial
    Optical paramtersValue
    F/#4
    Waveband3.7-4.8 μm
    FOV2.75°×2.2°-0.46°×0.37°
    f'100-600 mm
    Detector resolution Pixel size640×51215 μm
    Volume250 mm×187 mm×154 mm
    Table 2. Optical paramters for the zoom lens
    Fringe Zernike term7th order xy polynomial3rd order xy polynomial
    AL1AL2SumTotalAL1AL2SumTotal
    Z70.17−0.20−0.030.00−1.410.00−1.41−1.37
    Z90.74−0.190.56−0.021.17−0.280.890.40
    Z10−0.140.09−0.05−0.051.18−0.131.041.06
    Z14−0.01−0.02−0.02−0.01−0.18−0.02−0.20−0.16
    Z160.550.000.550.010.110.000.11−0.43
    Z170.01−0.02−0.01−0.01−1.55−0.02−1.57−1.55
    Z190.000.010.020.010.120.010.130.12
    Z28−0.010.00−0.01−0.01−0.130.00−0.13−0.12
    Table 3. f'=600 mm Fringe Zernike polynomial coefficient
    Bingrui ZHANG, Zhiwang YANG, Chenzhong ZHANG, Weihua ZHAO. Application of Alvarez lens in small movement infrared zoom lens[J]. Infrared and Laser Engineering, 2024, 53(12): 20240364
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