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

Journals >Laser & Optoelectronics Progress >Volume 57 >Issue 13 >Page 131204 > Article

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

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

Weifeng Du^1、*, 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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DOI: 10.3788/LOP57.131204 Cite this Article Set citation alerts

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 Copy Citation Text

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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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Fig. 3. Opto-mechanical structure of zoom lens

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Fig. 4. Finite element model of zoom lens

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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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Fig. 6. Initial structural design of rear fixed component

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

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

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

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

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

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

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

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

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Material	Elastic modulus /MPa	Density /(10^-6 kg·mm^-3)	Poisson's ratio	Coefficient oflinear expansion /(10^-6 ℃)
Titanium alloy	114000.00	4.40	0.29	8.90
RTV	701.00	1.28	0.47	236.00
ZF52	53730.00	5.53	0.25	8.90
QK7	63550.00	2.39	0.26	9.30
LAK9	84340.00	4.02	0.29	7.60
ZK9	89960.00	3.75	0.28	7.20
ZF6	52350.00	4.77	0.25	9.20
ZF50	58990.00	3.97	0.25	8.70
H-LAK3	88730.00	3.87	0.29	7.90
ZF7L	55000.00	4.97	0.24	8.90

Table 1. Material parameters of the lens

Order	Polynomial	Physicalmeaning	Diagramform
1	1	migration
2	ρcos θ	X tilt
3	ρsin θ	Y tilt
4	2ρ²-1	defocus
5	ρ²cos 2θ	0° or 90° astigmatism
6	ρ²sin 2θ	±45° astigmatism
7	(3ρ³-2ρ)cos θ	X coma

Table 2. Correspondence between Zernike polynomial and Sediel aberration

Serial number	T₁	T₂	T₃	R₁	R₂	R₃
1	5.524×10^-7	7.332×10^-7	3.752×10^-4	5.770×10^-9	1.162×10^-8	7.992×10^-8
2	2.157×10^-7	4.826×10^-7	5.523×10^-5	6.627×10^-9	4.157×10^-9	6.604×10^-8
3	6.687×10^-7	5.542×10^-7	7.775×10^-5	4.423×10^-9	5.514×10^-9	4.607×10^-8
…	…	…	……	…	…	…
22	8.814×10^-6	7.775×10^-6	7.154×10^-3	1.283×10-8	2.176×10^-9	1.451×10^-9
23	6.523×10^-6	3.351×10^-5	5.183×10^-3	5.073×10^-9	4.518×10^-9	2.951×10^-9
24	7.704×10^-6	4.218×10^-6	5.172×10^-3	9.153×10^-9	1.357×10^-9	9.843×10^-8
25	4.056×10^-6	6.450×10^-6	6.107×10^-3	8.423×10^-9	1.543×10^-9	4.862×10^-8

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

Material	Elastic modulus /MPa	Density /10^-6 (kg·m $\begin{matrix} {m^{-}}^{3} \end{matrix}$ )	Poisson's ratio	Coefficient of linearexpansion /10^-6 ℃
Beryllium copper	132000	8.42	0.33	16.88
SUS306	187000	8.13	0.31	23.70

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

Serialnumber	First lens		Second lens		Third lens
Serialnumber	First surface	Second surface	First surface	Second surface	First surface	Second surface
1	-7.08×10^-4	-6.93×10^-4	-3.11×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	-3.08×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	4.62×10^-4	-3.79×10^-4
2	5.68×10^-4	3.16×10^-4	2.93×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	4.28×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	-1.84×10^-3	-2.64×10^-3
3	-7.92×10^-4	-8.31×10^-4	-0.93×10^-3	-8.99×10^-4	3.99×10^-3	9.13×10^-4
4	-2.27×10^-3	-3.68×10^-3	4.47×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	8.52×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	-8.87×10^-6	1.08×10^-5
5	-7.22×10^-4	-5.44×10^-4	7.78×10^-5	6.92×10^-4	1.81×10^-6	2.53×10^-6
6	6.99×10^-4	3.59×10^-4	-5.19×10^-5	-3.15×10^-5	-1.01×10^-6	1.18×10^-6
7	4.42×10^-3	4.40×10^-3	1.49×10^-4	3.44×10^-4	-1.51×10^-5	-5.61 ×10^-5
8	1.09×10^-3	9.93×10^-4	-4.00×10^-5	-3.46×10^-5	-5.83×10^-5	-4.68×10^-5
9	7.62×10^-4	8.52×10^-4	6.47×10^-6	6.19×10^-6	-3.23×10^-5	-4.03×10^-5

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

Serialnumber	First lens		Second lens		Third lens
Serialnumber	Second surface	First surface	Second surface	Second surface	First surface	Second surface
1	-0.18×10^-3	-0.26×10^-3	-6.23×10^-4	-1.09×10^-3	1.40×10^-5	2.16×10^-7
2	-2.20×10^-4	4.37×10^-5	-8.73×10^-4	-4.77×10^-4	-2.29×10^-3	-3.33×10^-4
3	5.62×10^-5	7.10×10^-5	-8.88×10^-4	2.24×10^-3	-8.25×10^-5	-4.47×10^-6
4	-3.31×10^-3	-1.89×10^-3	-6.62×10^-6	4.47×10^-6	-2.29×10^-4	-1.06×10^-5
5	2.57×10^-6	8.36×10^-5	-6.66×10^-5	-7.80×10^-4	-8.88×10^-7	-6.63×10^-7
6	-2.52×10^-5	-2.76× $\begin{matrix} {1^{0}}^{- 5} \end{matrix}$	-2.77×10^-5	-4.42×10^-5	3.77×10^-5	-1.52×10^-6
7	-8.62×10^-3	-8.47×10^-3	-3.97×10^-6	-4.43×10^-6	7.96×10^-5	-1.47×10^-6
8	-3.33×10^-3	-4.82×10^-4	2.64×10^-5	1.58×10^-5	5.51×10^-7	5.39×10^-7
9	5.97×10^-4	1.62×10^-4	-7.64×10^-6	-1.27×10^-6	-7.04×10^-7	-2.28×10^-7

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

Seidel coefficient	Zernike polynomial	Value (-20 ℃)	Value (50 ℃)
a_piston	$\begin{matrix} 2 [Z_{1} - Z_{4} + Z_{9} \frac{1 + 4 ε^{2} + ε^{4}}{(1 - ε^{2})^{2}}] \end{matrix}$	-5.70×10^-3	-6.33×10^-3
$\begin{matrix} a_{tilt_x} \end{matrix}$	$\begin{matrix} 2 \{\frac{Z_{2}}{(1 + ε^{2})^{\frac{1}{2}}} - \frac{2 Z_{7} (1 + ε^{2} + ε^{4})}{(1 - ε^{2}) [(1 + ε^{2}) (1 + 4 ε^{2} + ε^{4} {)]}^{\frac{1}{2}}}\} \end{matrix}$	1.08×10^-3	-8.53×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$
$\begin{matrix} a_{tilt_y} \end{matrix}$	$\begin{matrix} 2 \{\frac{Z_{2}}{(1 + ε^{2})^{\frac{1}{2}}} - \frac{2 Z_{8} (1 + ε^{2} + ε^{4})}{(1 - ε^{2}) [(1 + ε^{2}) (1 + 4 ε^{2} + ε^{4} {)]}^{\frac{1}{2}}}\} \end{matrix}$	-1.54×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	-1.00×10^-3
$\begin{matrix} a_{defocus} \end{matrix}$	$\begin{matrix} 2 [2 Z_{4} / (1 - ε^{2}) - 6 Z_{9} (1 + ε^{2}) / (1 - ε^{2})^{2}] \end{matrix}$	5.79×10^-3	1.72×10^-3
$\begin{matrix} a_{sa} \end{matrix}$	$\begin{matrix} 12 Z_{9} / (1 - ε^{2})^{2} \end{matrix}$	2.82×10^-3	2.21×10^-3
$\begin{matrix} a_{coma_x} \end{matrix}$	$\begin{matrix} \frac{6 (1 + ξ^{2}) Z_{7}}{(1 - ξ^{2}) \sqrt[]{(1 + ξ^{2}) (1 + 4 ξ^{2} + ξ^{4})}} \end{matrix}$	6.68×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	5.36×10^-4
$\begin{matrix} a_{coma_y} \end{matrix}$	$\begin{matrix} \frac{6 (1 + ξ^{2}) Z_{8}}{(1 - ξ^{2}) \sqrt[]{(1 + ξ^{2}) (1 + 4 ξ^{2} + ξ^{4})}} \end{matrix}$	7.59×1 $\begin{matrix} {0^{-}}^{4} \end{matrix}$	5.18×10^-4

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

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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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