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

IF 3.5 2区 工程技术 Q2 OPTICS Optics and Lasers in Engineering Pub Date : 2024-10-16 DOI:10.1016/j.optlaseng.2024.108643
{"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}
引用次数: 0

摘要

分析非圆波面像差需要使用格拉姆-施密特正交化和非递归矩阵方法重建非圆瞳孔上的正交泽尔奈克多项式。然而,这些方法计算复杂且耗时。我们提出了一种利用 Schwarz-Christoffel 映射和 Zernike 圆多项式重建非圆形瞳孔模态波前的方法。Schwarz-Christoffel 映射用于将非圆形波面保形转换为圆盘形域,使映射后的圆形波面能够用 Zernike 圆多项式拟合。实验结果表明,该方法与商用菲佐干涉仪的测量结果非常吻合。此外,与传统的正交多项式拟合方法相比,我们的方法重建精度高于 90%,耗时减少 2-5 倍。这项研究为非圆形瞳孔提供了一种可靠的模态波前重建技术。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
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.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Optics and Lasers in Engineering
Optics and Lasers in Engineering 工程技术-光学
CiteScore
8.90
自引率
8.70%
发文量
384
审稿时长
42 days
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
期刊最新文献
Light field Laparoscope imaging model and calibration method based on flexible aperture-angular plane Wafer chamfering grinding wheels dressing via dynamic deflection laser beam Full polarimetric evaluation of the anamorphic transfer function for pixelated liquid crystal microdisplays Enhanced light field depth estimation through occlusion refinement and feature fusion Highly-secure scattering-media-based key storage
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1