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Laser & Optoelectronics Progress, Volume. 57, Issue 13, 131204(2020)

Analysis of Passive Athermalization Structure Design and Integrated Opto-Mechanical-Thermal of Zoom Lens of Photoelectric Countermeasure Platform

Weifeng Du1、*, Yongzhi Liu2, Wenjie Gao1, and Xiongchao Hu1
Author Affiliations
  • 1Optical Navigation and Detection Division, Shanghai Aerospace Control Technology Institute, Shanghai 200233, China
  • 2Military Representative Office Rocket Army Equipment Department in Tianjin Area, Tianjin 300308, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (22)
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    References (16)
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    Figures & Tables(22)
    Schematic diagram of zoom optical system. (a) EFFL is 19 mm; (b) EFFL is 35 mm; (c) EFFL is 50 mm; (d) EFFL is 100 mm;

    Fig. 1. Schematic diagram of zoom optical system. (a) EFFL is 19 mm; (b) EFFL is 35 mm; (c) EFFL is 50 mm; (d) EFFL is 100 mm;

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    MTF curves for multiple focal length configuration. (a) EFFL is 19 mm; (b) EFFL is 35 mm; (c) EFFL is 50 mm; (d) EFFL is 100 mm

    Fig. 2. MTF curves for multiple focal length configuration. (a) EFFL is 19 mm; (b) EFFL is 35 mm; (c) EFFL is 50 mm; (d) EFFL is 100 mm

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    Opto-mechanical structure of zoom lens

    Fig. 3. Opto-mechanical structure of zoom lens

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    Finite element model of zoom lens

    Fig. 4. Finite element model of zoom lens

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    Rigid body displacement cloud diagram of the zoom lens at temperature of -20 ℃. (a) Front fixed group; (b) zoom group; (c) compensation group; (d) posterior fixation group; (e) machine

    Fig. 5. Rigid body displacement cloud diagram of the zoom lens at temperature of -20 ℃. (a) Front fixed group; (b) zoom group; (c) compensation group; (d) posterior fixation group; (e) machine

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    Initial structural design of rear fixed component

    Fig. 6. Initial structural design of rear fixed component

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    Fixed group structure design with flexible pressure ring structure

    Fig. 7. Fixed group structure design with flexible pressure ring structure

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    Key structure parameters of flexible pressure ring. (a) Pressure ring;(b) space ring

    Fig. 8. Key structure parameters of flexible pressure ring. (a) Pressure ring;(b) space ring

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    Finite element model of rear fixed component adopted flexible pressure ring

    Fig. 9. Finite element model of rear fixed component adopted flexible pressure ring

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    Displacement cloud diagram of real fixed group athermalization with flexible pressure ring

    Fig. 10. Displacement cloud diagram of real fixed group athermalization with flexible pressure ring

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    Variation of thermoelastic axial rigid body displacement with temperature

    Fig. 11. Variation of thermoelastic axial rigid body displacement with temperature

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    Optical MTF curve of zoom lens. (a) Temperature is -20 ℃, EFFL is 99 mm; (b) temperature is 50 ℃, EFFL is 99 mm; (c) temperature is -20 ℃, EFFL is 50 mm; (d) temperature is 50 ℃, EFFL is 50 mm; (e) temperature is -20 ℃, EFFL is 19 mm; (f) temperature is 50 ℃, EFFL is 19 mm

    Fig. 12. Optical MTF curve of zoom lens. (a) Temperature is -20 ℃, EFFL is 99 mm; (b) temperature is 50 ℃, EFFL is 99 mm; (c) temperature is -20 ℃, EFFL is 50 mm; (d) temperature is 50 ℃, EFFL is 50 mm; (e) temperature is -20 ℃, EFFL is 19 mm; (f) temperature is 50 ℃, EFFL is 19 mm

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    Curve of wavefront difference with temperature. (a) Curve of PV with temperature; (b) curve of RMS with temperature

    Fig. 13. Curve of wavefront difference with temperature. (a) Curve of PV with temperature; (b) curve of RMS with temperature

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    Experimental platform for reliability of optical equipment temperature stress

    Fig. 14. Experimental platform for reliability of optical equipment temperature stress

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    Image of resolution board. (a) 20 ℃; (b) -20 ℃; (b) 50 ℃

    Fig. 15. Image of resolution board. (a) 20 ℃; (b) -20 ℃; (b) 50 ℃

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    • Table 1. Material parameters of the lens

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      Table 1. Material parameters of the lens

      MaterialElastic modulus /MPaDensity /(10-6 kg·mm-3)Poisson's ratioCoefficient oflinear expansion /(10-6 ℃)
      Titanium alloy114000.004.400.298.90
      RTV701.001.280.47236.00
      ZF5253730.005.530.258.90
      QK763550.002.390.269.30
      LAK984340.004.020.297.60
      ZK989960.003.750.287.20
      ZF652350.004.770.259.20
      ZF5058990.003.970.258.70
      H-LAK388730.003.870.297.90
      ZF7L55000.004.970.248.90

    • Table 2. Correspondence between Zernike polynomial and Sediel aberration

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      Table 2. Correspondence between Zernike polynomial and Sediel aberration

      OrderPolynomialPhysicalmeaningDiagramform
      11migration
      2ρcos θX tilt
      3ρsin θY tilt
      42ρ2-1defocus
      5ρ2cos 2θ0° or 90° astigmatism
      6ρ2sin 2θ±45° astigmatism
      7(3ρ3-2ρ)cos θX coma

    • Table 3. Variation of rigid body displacement / rotation of telephoto zoom lens

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      Table 3. Variation of rigid body displacement / rotation of telephoto zoom lens

      Serial numberT1T2T3R1R2R3
      15.524×10-77.332×10-73.752×10-45.770×10-91.162×10-87.992×10-8
      22.157×10-74.826×10-75.523×10-56.627×10-94.157×10-96.604×10-8
      36.687×10-75.542×10-77.775×10-54.423×10-95.514×10-94.607×10-8
      ……………………
      228.814×10-67.775×10-67.154×10-31.283×10-82.176×10-91.451×10-9
      236.523×10-63.351×10-55.183×10-35.073×10-94.518×10-92.951×10-9
      247.704×10-64.218×10-65.172×10-39.153×10-91.357×10-99.843×10-8
      254.056×10-66.450×10-66.107×10-38.423×10-91.543×10-94.862×10-8

    • Table 4. Material parameters of the flexible pressure ring of the rear fixed component

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      Table 4. Material parameters of the flexible pressure ring of the rear fixed component

      MaterialElastic modulus /MPaDensity /10-6 (kg·mm-3)Poisson's ratioCoefficient of linearexpansion /10-6 ℃
      Beryllium copper1320008.420.3316.88
      SUS3061870008.130.3123.70

    • Table 5. Zernike coefficient of each mirror in the anterior fixation group at temperature of -20 ℃

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      Table 5. Zernike coefficient of each mirror in the anterior fixation group at temperature of -20 ℃

      SerialnumberFirst lensSecond lensThird lens
      First surfaceSecond surfaceFirst surfaceSecond surfaceFirst surfaceSecond surface
      1-7.08×10-4-6.93×10-4-3.11×10-4-3.08×10-44.62×10-4-3.79×10-4
      25.68×10-43.16×10-42.93×10-44.28×10-4-1.84×10-3-2.64×10-3
      3-7.92×10-4-8.31×10-4-0.93×10-3-8.99×10-43.99×10-39.13×10-4
      4-2.27×10-3-3.68×10-34.47×10-48.52×10-4-8.87×10-61.08×10-5
      5-7.22×10-4-5.44×10-47.78×10-56.92×10-41.81×10-62.53×10-6
      66.99×10-43.59×10-4-5.19×10-5-3.15×10-5-1.01×10-61.18×10-6
      74.42×10-34.40×10-31.49×10-43.44×10-4-1.51×10-5-5.61 ×10-5
      81.09×10-39.93×10-4-4.00×10-5-3.46×10-5-5.83×10-5-4.68×10-5
      97.62×10-48.52×10-46.47×10-66.19×10-6-3.23×10-5-4.03×10-5

    • Table 6. Zernike coefficient of each mirror in the anterior fixation group at temperature of 50 ℃

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      Table 6. Zernike coefficient of each mirror in the anterior fixation group at temperature of 50 ℃

      SerialnumberFirst lensSecond lensThird lens
      Second surfaceFirst surfaceSecond surfaceSecond surfaceFirst surfaceSecond surface
      1-0.18×10-3-0.26×10-3-6.23×10-4-1.09×10-31.40×10-52.16×10-7
      2-2.20×10-44.37×10-5-8.73×10-4-4.77×10-4-2.29×10-3-3.33×10-4
      35.62×10-57.10×10-5-8.88×10-42.24×10-3-8.25×10-5-4.47×10-6
      4-3.31×10-3-1.89×10-3-6.62×10-64.47×10-6-2.29×10-4-1.06×10-5
      52.57×10-68.36×10-5-6.66×10-5-7.80×10-4-8.88×10-7-6.63×10-7
      6-2.52×10-5-2.76×10-5-2.77×10-5-4.42×10-53.77×10-5-1.52×10-6
      7-8.62×10-3-8.47×10-3-3.97×10-6-4.43×10-67.96×10-5-1.47×10-6
      8-3.33×10-3-4.82×10-42.64×10-51.58×10-55.51×10-75.39×10-7
      95.97×10-41.62×10-4-7.64×10-6-1.27×10-6-7.04×10-7-2.28×10-7

    • Table 7. Seidel aberration coefficient at temperature load of -20 ℃ and 50 ℃

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      Table 7. Seidel aberration coefficient at temperature load of -20 ℃ and 50 ℃

      Seidel coefficientZernike polynomialValue (-20 ℃)Value (50 ℃)
      apiston2Z1-Z4+Z91+4ε2+ε4(1-ε2)2-5.70×10-3-6.33×10-3
      atilt_x2Z2(1+ε2)12-2Z7(1+ε2+ε4)(1-ε2)[(1+ε2)(1+4ε2+ε4)]121.08×10-3-8.53×10-4
      atilt_y2Z2(1+ε2)12-2Z8(1+ε2+ε4)(1-ε2)[(1+ε2)(1+4ε2+ε4)]12-1.54×10-4-1.00×10-3
      adefocus2[2Z4/(1-ε2)-6Z9(1+ε2)/(1-ε2)2]5.79×10-31.72×10-3
      asa12Z9/(1-ε2)22.82×10-32.21×10-3
      acoma_x6(1+ξ2)Z7(1-ξ2)(1+ξ2)(1+4ξ2+ξ4)6.68×10-45.36×10-4
      acoma_y6(1+ξ2)Z8(1-ξ2)(1+ξ2)(1+4ξ2+ξ4)7.59×10-45.18×10-4
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    Weifeng Du, Yongzhi Liu, Wenjie Gao, Xiongchao Hu. Analysis of Passive Athermalization Structure Design and Integrated Opto-Mechanical-Thermal of Zoom Lens of Photoelectric Countermeasure Platform[J]. Laser & Optoelectronics Progress, 2020, 57(13): 131204

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jun. 5, 2019

    Accepted: Oct. 18, 2019

    Published Online: Jul. 9, 2020

    The Author Email: Du Weifeng (dwfhiter@163.com)

    DOI:10.3788/LOP57.131204

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology