A novel opto-mechanical tolerance analysis method for precision lens systems

Lin, Tsung Yin; Cheng, Chen Chin

doi:10.1016/j.precisioneng.2011.02.001

Cited by 12 publications

(7 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Because the transformation in equation ( 6) requires the same CDF, the red area must be the same as the blue area shown in Figure 7. The red area is cut off by the random variable Z with normal distribution so that the random variable Z can be found from equation (6). We understand that the random variable Z in equation ( 6) can be found from F 21 (U).…”

Section: Random Variable Transformation From Uniform Distributionmentioning

confidence: 99%

“…We understand that the random variable Z in equation ( 6) can be found from F 21 (U). However, we cannot deduce equation (6) to find the random variable Z directly due to including the form of error function erf(x) for the derivation. The error function erf(x) is defined as…”

Section: Random Variable Transformation From Uniform Distributionmentioning

confidence: 99%

“…Such variations in radius, deflection, and displacement would degrade the distribution of yield rate in the lens assembly, and hence tolerance is a critical issue in lens design. 4,5 An opto-mechanical tolerance model was proposed 6 to calculate the element tilt, decenter, and despace stack-up within a cell. Some researches applied finite element analysis (FEA) 7 to simulate the assembly process for lens manufacture.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Simulation analysis of performances and yield rates on a lens module

Tsai

Huang

2017

Advances in Mechanical Engineering

View full text Add to dashboard Cite

A simulation platform is developed to analyze the tolerance ability of designed lens in the opto-mechanical system. The major task of lens designer is to find out the optimal parameters to meet the specification requirement. A real lens with decenter, tilt, and lens parameters' variation could lower the performance of lens. The original parameters from the lens designer suffer certain probability distribution during manufacturing lenses so that the performance of assembly lens is always different from that of the optimal design. The proposal applies a variety of probability density functions of the manufacture to obtain the tolerance parameters used in simulation. Some macros of commercial optical software based on the Monte Carlo method are developed to simulate the lens manufacture tolerance and analyze the yield rate for mass production. With proper probability density functions of the manufacture, the tolerance can be estimated from the proposed algorithm.

show abstract

Section: Random Variable Transformation From Uniform Distributionmentioning

confidence: 99%

Section: Random Variable Transformation From Uniform Distributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Simulation analysis of performances and yield rates on a lens module

Tsai

Huang

2017

Advances in Mechanical Engineering

View full text Add to dashboard Cite

show abstract

“…This zoom mode needs to use the cam and lead screw structure to drive the lens group to move, where the displacement is large. 1,2 This precise structure is difficult to withstand the violent vibration and impact when the rocket is launched. There is a risk of cold welding between the cam and lead screw in space, which greatly limits its application in space optical imaging.…”

Section: Introductionmentioning

confidence: 99%

Varifocal lens based on fifth-order XY polynomial freeform surface

Ye,

Yan,

Jiang

et al. 2023

First International Conference on Spatial Atmospheric Marine Environmental Optics (SAME 2023)

View full text Add to dashboard Cite

Optical system with zooming ability is essential for space exploration. In this paper, we proposed a new varifocal lens design based on the fifth-order X-Y polynomial free-form surface. It can change its focal power by the vertical deflection of the two free-form surfaces. We described the proposed lens's modulation phase function and aberration based on the first-order optical analysis. Simulation experiments compared the proposed lens with the Alvarez lens regarding surface depth and zoom capability. We further investigate the correspondence between vertical deflection and optical power. The results show that the focal power of the varifocal lens based on the fifth-order X-Y polynomial free-form surface is proportional to the cube of the lateral shift distance, which has a stronger zoom ability than the Alvarez lens. It can achieve a wide range of power changes with a smaller lateral displacement, contributing to the zoom system's further miniaturization.

show abstract

“…[7][8][9][10] Optical designers are usually concerned about the surface distortion of the lens with deterministic mechanical loads to decide the related dimensional variations but do not pay much attention to its uncertainty distortion caused by assembly variations, for example, the uncertainty supporting loads produced during assembly. 11,12 Cheng et al 13 and Lin and Cheng 14 stated that the traditional optomechanical tolerances scarcely considered the real manufacturing and assembly processes and proposed a novel model of a lens system that integrated the relevant variations determined by manufacturing. Traditional tolerance analyses usually rely upon rigid body assumption for all components.…”

Section: Introductionmentioning

confidence: 99%

A Monte Carlo analysis of uncertainty in supporting assembly of large-aperture optical lenses

Shen

Luo

Liu

et al. 2013

Proceedings of the Institution of Mechanical Engineers, Part B:

View full text Add to dashboard Cite

Large-aperture lenses are widely used to improve optical resolution and enlarge field of view of a precision optical system, and reasonable mounting can result in higher optical performance. Flexure mounts are usually utilized to minimize distortion of the lens under its own weight and must be accurately assembled so as to provide uniform support loads for the lens. The supporting loads produced by flexure mounts are difficult to be identical because of various uncertainties during assembly process, such as human operation and tool resolution. These nonuniform supporting loads may generate asymmetric deformation of the lens and deteriorate its performance. It is essential to explore the influence of uncertainty supporting loads on the optical performance. A Monte Carlo analysis method is proposed to investigate the optical performance of a lens under uncertainty supporting loads at different load levels. Patran Command Language is used for repetitive calculation of finite element model with random sample of supporting loads. The optical performance responses, such as the surface peak-to-valley and root-mean-square errors and Zernike coefficients, are calculated by fitting the surface deformation data, and their stochastic properties are researched by statistical testing. Consequently, the critical variation range of uncertainty supporting loads considering assembly process can be determined based on Three Sigma theorem with specific optical performance requirement. The results can be used to assign appropriate tolerance of flexure mounts during assembly and to optimize the supporting system of a high-precision optical system.

show abstract

A novel opto-mechanical tolerance analysis method for precision lens systems

Cited by 12 publications

References 2 publications

Simulation analysis of performances and yield rates on a lens module

Simulation analysis of performances and yield rates on a lens module

Varifocal lens based on fifth-order XY polynomial freeform surface

A Monte Carlo analysis of uncertainty in supporting assembly of large-aperture optical lenses

Contact Info

Product

Resources

About