Modal wavefront reconstruction by Schwarz-Christoffel mapping and Zernike circle polynomials for noncircular pupils

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

Dong Yang , Zhongming Yang , Yanfeng Zhang

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引用次数: 0

Abstract

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.

查看原文本刊更多论文

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

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。

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来源期刊

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