Methodology for predicting optical system performance when subjected to static stresses
doi: 10.3788/CO.20160906.0678
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摘要: 本文通过计算预测光学性能的方法表征在光学系统组装和外界环境因素影响下的光学系统灵敏度。该方法即通过调制传递函数来表征静态机械应力对光学物镜性能的影响。采用光学干涉仪对经过加工、组装且存在机械应力的光学物镜进行测试，并比较实验调制传递函数与计算模拟分析的调制传递函数。结果表明，计算结果与实验结果相符，证实了本文方法的有效性。Abstract: High performance optical systems are characterized by high sensitivity to assembly procedure of the system and to any sensible change in environmental conditions. This sensitivity issue is handled in this paper through a methodology allowing a computational prediction of optical performance when the opto-mechanical system is subject to some external factors. This paper explains the methodology through an example of an optical objective of excellent performance undergoing static mechanical stresses which degrade the performance expressed by an MTF diagram. Then the objective is manufactured, assembled, and an optical interferometer is used to test the objective when stress is retained; and the experimental results of degraded MTF are compared to the analytical MTF. The excellent matching between the two sets of results confirms the validity of the proposed methodology.
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Key words:
- predicting optical performance /
- assembly of optical system /
- tensile torque /
- MTF /
- objective /
- Ansys /
- Matlab
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Figure 1. General scheme for predicting optical performance through the static structural analysis[3]
Figure 2. Verification of optical system performance using a double-pass auto-collimation interferometer
Figure 11. (a)Measuring setup using an interferometer; (b)resulted fringes when no tension was applied to the optical element
Figure 13. Diagrams of fringes errors of the optical system under test for several values of tensile torque
Figure 14. Computed MTF as function of tensile torque(solid circle); experimental MTF as function of tensile torque with deviation 2σ(solid rectangle)
Table 1. Parameters of the designed objective
Surfaces number Radius/mm Thickness/mm Optical diameter/mm Glass material (Stop) 187.5 7.5 60 H-ZF52A 2 -305.5 38.753 59.46 Air 3 85.70 8 40.31 H-BAK4 4 -88.51 5 38.70 H-ZF52A 5 192.31 89.425 36.24 Air 
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Table 2. Characteristics of the materials used in the modeling
Parameters Aluminum Glass Young modulus/(N·m-2) 7.1×1010 9.67×1010 Poisson′s ratio 0.33 0.226
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Table 3. Tensile torques values as a function of retainer displacement
Moment (N·m) Force (N) Displacement (μm) 3.06 51 30 3.904 2 65.07 32.4 5.082 84.7 34.8 5.902 2 98.37 36
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Table 4. Zernike coefficients for a set of tensile torques
Tensile torque/(N·m) Piston(Z1) Third Sphere(Z9) Fifth Sphere(Z16) Surface 1 Surface 2 Surface 1 Surface 2 Surface 1 Surface 2 3 8.49×10-3 -0.017 3 7.84×10-5 -1.27×10-4 7.51×10-7 9.41×10-7 4 5.43×10-3 -3.14×10-3 1.88×10-4 -7.40×10-5 3.49×10-7 2.51×10-7 5 8.31×10-3 -7.13×10-3 1.43×10-4 -1.45×10-4 2.01×10-7 9.63×10-7 6 0.012 5 -0.031 7 1.35×10-4 -1.62×10-4 2.47×10-7 2.82×10-7
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Table 5. MTF values at typical spatial frequencies obtained by computation and experiment
6 N·m 5 N·m 4 N·m 3 N·m Spatial frequency MTF (computation) MTF (experiment) MTF (computation) MTF (experiment) MTF (computation) MTF (experiment) MTF (computation) MTF (experiment) 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 62.5 0.739 0.791 0.657 0.717 0.623 0.658 0.595 0.614 125 0.510 0.520 0.409 0.408 0.355 0.410 0.312 0.278 187.5 0.364 0.310 0.276 0.251 0.225 0.209 0.186 0.130 250 0.304 0.268 0.225 0.192 0.184 0.160 0.154 0.081 312.5 0.275 0.251 0.226 0.189 0.199 0.140 0.176 0.115 375 0.231 0.239 0.210 0.184 0.197 0.165 0.187 0.179 437.5 0.136 0.153 0.117 0.135 0.106 0.091 0.099 0.125 500 0.057 0.071 0.039 0.066 0.030 0.054 0.022 0.037 562.5 0.006 0.015 0.017 0.017 0.041 0.022 0.012 0.017 625 0.000 0.000 0.000 0.000 0.000 0.002 0.000 0.002
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