提出了一种屈光度的扩展宽带光双光栅干涉测量方法。基于Talbot效应与Moire效应理论,推导出单、复色扩展光源下干涉场强度分布公式,从而表明当光源到第一面光栅与第二面光栅到观察屏距离相等时,干涉场光强分布与光源波长无关。仿真分析了扩展光源下双光栅系统参数对莫尔条纹对比度的影响,结果表明:当系统中光源宽度选定为4mm、光栅周期选定为0.2mm、两光栅之间的夹角选定为1.9°、两光栅之间的空间距离选定为6.5mm时,可以获得较好的干涉条纹对比度。构建了屈光度测量系统,对屈光度为-1m-1、-3m-1、1m-1、3m-1的镜片进行实验测量,重复测量10次,测量结果的峰谷值偏差为0.0064m-1,是测量结果平均值的0.28%。实验结果表明:扩展宽带光双光栅干涉方法能实现镜片屈光度的高精度低成本测量。
Abstract
A diopter measurement based on the double grating system with extended broadband light is proposed. Based on Talbot effection and Moire effection, the intensity distribution formula of interference under extended monochromatic light and extended polychromatic light is derived. As it shows that if the distance from the light to the first grating and the distance from the second grating to the screen is equal, the intensity distribution of the interference won’t be related to the wavelength of the light. Besides the influence of double grating system parameters on the contrast of Moire fringe under extended light is analyzed. The results show that when the width of light is 4mm, the grating period is 0.2mm, the angle between two gratings is 1.9°, and the space distance between two gratings is 6.5mm, the clear interference fringe can be obtained. A diopter measurement system is constructed to measure the lens with diopter of -1m-1, -3m-1, 1m-1 and 3m-1. The peak-to-valley deviation of measurements is 0.0064m-1, which is the 0.28% of the average measurement results. The experiment result shows that the lens diopter can be measured with double grating system using extended broadband light source accurately and cheaply.
关键词
计量学 /
屈光度测量 /
双光栅干涉 /
宽带光源 /
Talbot效应 /
Moire效应
Key words
metrology;diopter measurement /
double grating interference;broadband light source;Talbot effect;Moire effection
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参考文献
［1］张吉焱, 刘文丽, 高明亮. 人眼角膜参数计量校准与量值溯源方法研究［J］. 计量学报, 2020, 41(11): 1339-1343.
Zhang J Y, Liu W L, Gao M L. Research on metrological calibration and traceability of human corneal parameters［J］. Acta Metrology Sinica, 2020, 41(11): 1339-1343.
［2］何荣, 金涛. 镜片全自动测量系统的研究［J］. 计量学报, 2021, 42(3): 301-307.
He R, Jin T. Research on automatic lens measurement system［J］. Acta Metrology Sinica, 2021, 42(3): 301-307.
［3］丁毅, 罗海燕, 施海亮, 等. 时空联合调制空间外差干涉成像仪自适应条纹模板研究［J］. 光学学报, 2022, 42(1): 273-283.
Ding Y, Luo H Y, Shi H L, et al. Research on adaptive fringe template of spatiotemporal joint modulation spatial heterodyne interferometric imager［J］.Acta optica Sinica, 2022, 42(1): 273-283
［4］Nakano Y. Measurements of the small tilt-angle variation of an object surface using moire interferometry and digital image processing［J］. Applied Optics, 1987, 26(18): 3911-3914.
［5］Kim B J , Song J S. Determination of small angular displacement by moiré fringes of matched radial-parallel grating［J］. Applied Optica, 1997, 36(13): 2848-2855.
［6］于雪. 基于泰伯莫尔效应的滚转角检测方法的研究［D］. 天津: 天津大学, 2015.
［7］吕文松. 用莫尔条纹测量微小角位移［J］. 光学工程, 1978(3): 44-48.
Lü W S. Measuring micro angular displacement with Moire fringe［J］. Optical Engineering, 1978(3): 44-48.
［8］刘前. 无准直透镜时扩展光源照明的Talbot效应［J］. 内蒙古工学院学报, 1990(1): 50-56.
Liu Q. Talbot effect of extended light source illumination without collimating lens［J］. Journal of Inner Mongolia Institute of technology, 1990(1): 50-56.
［9］肖小果. 检测镜片屈光度的莫尔偏折法研究［D］. 成都:电子科技大学, 2012.
［10］田小强, 孔令富, 孔德明. 利用离散平稳小波变换改进NURBS二次曲面拟合方法［J］. 计量学报, 2020, 41(6): 662-668.
Tian X Q, Kong L F, Kong D M. Using discrete stationary wavelet transform to improve NURBS quadric surface fitting method［J］. Acta Metrology Sinica, 2020, 41(6): 662-668.
［11］顾天铭. 渐进多焦点镜片表面屈光度地形图仪研究［D］. 南京: 南京理工大学, 2016.
［12］陈好. 数字图像处理技术在长焦距测量系统中的应用研究［D］. 南京: 南京理工大学, 2014.
［13］海滨, 张海联. 用杨氏干涉模型解释白光双光栅的消色效应［J］. 光学仪器, 1994, 16(1): 4-6
Hai B, Zhang H L. Using Young's interference model to explain the achromatic effect of white light double grating［J］. Optical instruments, 1994, 16(1): 4-6
［14］Jia L, Jian B, Jin Z. Long focal-length measurement using divergent beam and two gratings of different periods［J］. Optics Express, 2014, 22(23): 27921-27931.
［15］陆衡. 基于泰伯效应的长焦距测量系统的设计［D］. 南京: 南京理工大学, 2014.
［16］徐海飞, 何勇. 基于移相式泰伯干涉仪的渐进多焦点镜片屈光度测量技术研究［J］. 激光与光电子学进展, 2022, 59(13): 253-258.
Xu H F, He Y. Research on diopter measurement technology of progressive multifocal lens based on phase-shifting Taber interferometer［J］. Progress in laser and Optoelectronics: 2022, 59(13): 253-258.
［17］刘尧. 基于双光栅干涉技术的焦距测量系统设计及其关键技术研究［D］. 南京: 南京理工大学, 2017.
［18］Chen H, He Y, Li J, et al. Measurement of long focal lengths with a double-grating interferometer［J］. Applied Optics, 2013, 52(27): 6696-6702.
［19］蒋正东, 陈磊, 何勇. 基于双朗奇光栅的焦距测量技术研究［J］. 应用光学, 2018, 39(5): 687-690.
Jiang Z D, Chen L, He Y. Research on focal length measurement technology based on double Lange grating［J］. Applied Optics, 2018, 39(5): 687-690.
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