{"title":"利用施瓦茨-克里斯托弗映射和 Zernike 圆多项式重建非圆形瞳孔的模态波面","authors":"","doi":"10.1016/j.optlaseng.2024.108643","DOIUrl":null,"url":null,"abstract":"<div><div>Analyzing noncircular wavefront aberration require reconstructing orthonormal Zernike polynomials over noncircular pupils using Gram-Schmidt orthogonalization and nonrecursive matrix approach. However, these methods are computationally complex and time-consuming. We proposed a modal wavefront reconstruction method for noncircular pupils by Schwarz-Christoffel mapping and Zernike circle polynomials. Schwarz-Christoffel mapping is used to conformally transform the noncircular wavefront into a disk-shaped domain, enabling the mapped circular wavefronts to be fitted by Zernike circle polynomials. Experimental results demonstrate excellent agreement with measurements obtained from a commercial Fizeau interferometer. Furthermore, compared to the traditional orthonormal polynomials fitting method, the reconstruction accuracy of our method is higher than 90 %, and the time consuming is reduced by 2–5 times. This study presents a reliable modal wavefront reconstruction technique for noncircular pupils.</div></div>","PeriodicalId":49719,"journal":{"name":"Optics and Lasers in Engineering","volume":null,"pages":null},"PeriodicalIF":3.5000,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modal wavefront reconstruction by Schwarz-Christoffel mapping and Zernike circle polynomials for noncircular pupils\",\"authors\":\"\",\"doi\":\"10.1016/j.optlaseng.2024.108643\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Analyzing noncircular wavefront aberration require reconstructing orthonormal Zernike polynomials over noncircular pupils using Gram-Schmidt orthogonalization and nonrecursive matrix approach. However, these methods are computationally complex and time-consuming. We proposed a modal wavefront reconstruction method for noncircular pupils by Schwarz-Christoffel mapping and Zernike circle polynomials. Schwarz-Christoffel mapping is used to conformally transform the noncircular wavefront into a disk-shaped domain, enabling the mapped circular wavefronts to be fitted by Zernike circle polynomials. Experimental results demonstrate excellent agreement with measurements obtained from a commercial Fizeau interferometer. Furthermore, compared to the traditional orthonormal polynomials fitting method, the reconstruction accuracy of our method is higher than 90 %, and the time consuming is reduced by 2–5 times. This study presents a reliable modal wavefront reconstruction technique for noncircular pupils.</div></div>\",\"PeriodicalId\":49719,\"journal\":{\"name\":\"Optics and Lasers in Engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.5000,\"publicationDate\":\"2024-10-16\",\"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/S0143816624006213\",\"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/S0143816624006213","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
Modal wavefront reconstruction by Schwarz-Christoffel mapping and Zernike circle polynomials for noncircular pupils
Analyzing noncircular wavefront aberration require reconstructing orthonormal Zernike polynomials over noncircular pupils using Gram-Schmidt orthogonalization and nonrecursive matrix approach. However, these methods are computationally complex and time-consuming. We proposed a modal wavefront reconstruction method for noncircular pupils by Schwarz-Christoffel mapping and Zernike circle polynomials. Schwarz-Christoffel mapping is used to conformally transform the noncircular wavefront into a disk-shaped domain, enabling the mapped circular wavefronts to be fitted by Zernike circle polynomials. Experimental results demonstrate excellent agreement with measurements obtained from a commercial Fizeau interferometer. Furthermore, compared to the traditional orthonormal polynomials fitting method, the reconstruction accuracy of our method is higher than 90 %, and the time consuming is reduced by 2–5 times. This study presents a reliable modal wavefront reconstruction technique for noncircular pupils.
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