{"title":"基于夏克-哈特曼波前传感器的透镜参数测量","authors":"Zijin Deng , Changwei Li , Sijiong Zhang","doi":"10.1016/j.optlaseng.2024.108666","DOIUrl":null,"url":null,"abstract":"<div><div>The focal length, radius of curvature, and refractive index are key parameters of a spherical lens. Here, an approach for measuring lens parameters based on the Shack-Hartmann wavefront sensor (SHS) is proposed. Firstly, the position of the reference point for measuring focal length is determined by the figure-of-merit function, called the least square sum of centroids shifts (LSSCS), from the spot array formed by the microlens array of SHS. The focal length is estimated by measuring radii of curvatures of two spherical waves. Each spherical wave is caused by the distance between the focal point of the lens and the determined reference. Secondly, the radius of curvature is the difference between two coordinate locations of the lens. Each location, corresponding to a collimated beam reflected from the lens, is determined by the figure-of-merit function LSSCS. Thirdly, the refractive index can be further estimated by lens maker's equation through the measured focal length and radius of curvature. A positive and a negative lens are both tested by the proposed method. Experimental results show that the lens parameters measured by the proposed method are in good agreement with the nominal values. The proposed method does not require wavefront reconstruction, and is simple, accurate and noise-resistant.</div></div>","PeriodicalId":49719,"journal":{"name":"Optics and Lasers in Engineering","volume":"184 ","pages":"Article 108666"},"PeriodicalIF":3.5000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Measurement of lens parameters based on Shack-Hartmann wavefront sensor\",\"authors\":\"Zijin Deng , Changwei Li , Sijiong Zhang\",\"doi\":\"10.1016/j.optlaseng.2024.108666\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The focal length, radius of curvature, and refractive index are key parameters of a spherical lens. Here, an approach for measuring lens parameters based on the Shack-Hartmann wavefront sensor (SHS) is proposed. Firstly, the position of the reference point for measuring focal length is determined by the figure-of-merit function, called the least square sum of centroids shifts (LSSCS), from the spot array formed by the microlens array of SHS. The focal length is estimated by measuring radii of curvatures of two spherical waves. Each spherical wave is caused by the distance between the focal point of the lens and the determined reference. Secondly, the radius of curvature is the difference between two coordinate locations of the lens. Each location, corresponding to a collimated beam reflected from the lens, is determined by the figure-of-merit function LSSCS. Thirdly, the refractive index can be further estimated by lens maker's equation through the measured focal length and radius of curvature. A positive and a negative lens are both tested by the proposed method. Experimental results show that the lens parameters measured by the proposed method are in good agreement with the nominal values. The proposed method does not require wavefront reconstruction, and is simple, accurate and noise-resistant.</div></div>\",\"PeriodicalId\":49719,\"journal\":{\"name\":\"Optics and Lasers in Engineering\",\"volume\":\"184 \",\"pages\":\"Article 108666\"},\"PeriodicalIF\":3.5000,\"publicationDate\":\"2024-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optics and Lasers in Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0143816624006444\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics and Lasers in Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0143816624006444","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
Measurement of lens parameters based on Shack-Hartmann wavefront sensor
The focal length, radius of curvature, and refractive index are key parameters of a spherical lens. Here, an approach for measuring lens parameters based on the Shack-Hartmann wavefront sensor (SHS) is proposed. Firstly, the position of the reference point for measuring focal length is determined by the figure-of-merit function, called the least square sum of centroids shifts (LSSCS), from the spot array formed by the microlens array of SHS. The focal length is estimated by measuring radii of curvatures of two spherical waves. Each spherical wave is caused by the distance between the focal point of the lens and the determined reference. Secondly, the radius of curvature is the difference between two coordinate locations of the lens. Each location, corresponding to a collimated beam reflected from the lens, is determined by the figure-of-merit function LSSCS. Thirdly, the refractive index can be further estimated by lens maker's equation through the measured focal length and radius of curvature. A positive and a negative lens are both tested by the proposed method. Experimental results show that the lens parameters measured by the proposed method are in good agreement with the nominal values. The proposed method does not require wavefront reconstruction, and is simple, accurate and noise-resistant.
期刊介绍:
Optics and Lasers in Engineering aims at providing an international forum for the interchange of information on the development of optical techniques and laser technology in engineering. Emphasis is placed on contributions targeted at the practical use of methods and devices, the development and enhancement of solutions and new theoretical concepts for experimental methods.
Optics and Lasers in Engineering reflects the main areas in which optical methods are being used and developed for an engineering environment. Manuscripts should offer clear evidence of novelty and significance. Papers focusing on parameter optimization or computational issues are not suitable. Similarly, papers focussed on an application rather than the optical method fall outside the journal''s scope. The scope of the journal is defined to include the following:
-Optical Metrology-
Optical Methods for 3D visualization and virtual engineering-
Optical Techniques for Microsystems-
Imaging, Microscopy and Adaptive Optics-
Computational Imaging-
Laser methods in manufacturing-
Integrated optical and photonic sensors-
Optics and Photonics in Life Science-
Hyperspectral and spectroscopic methods-
Infrared and Terahertz techniques