Optimization and reconstruction of progressive addition free-form surface lens

被引：1

作者：

Zhang Y. ^{[1
]}

Xiang H. ^{[1
]}

Wang Y. ^{[1
]}

Zheng Z. ^{[2
]}

Zhang D. ^{[3
]}

机构：

[1] School of Health Science and Engineering, University of Shanghai for Science and Technology, Shanghai

[2] School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai

[3] School of Optical-Eletrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai

来源：

Guangxue Jingmi Gongcheng/Optics and Precision Engineering | 2023年 / 31卷 / 06期

关键词：

astigmatism; freeform surface; non-uniform rational B-spline; progressive addition; reconstruction;

D O I：

10.37188/OPE.20233106.0813

中图分类号：

学科分类号：

摘要：

The rear surface of a freeform progressive addition lens（PAL）is often fitted using multiple surfaces，and curvature changes at the joints are usually large and discontinuous. Initial freeform PALs frequently required local or global optimization to improve their optical properties and surface smoothness. A global fitting method based on the non-uniform rational B-spline curve and least squares curve is proposed to optimize reconstruction of the rear surface of a lens. The algorithm principle of least squares curve fitting is introduced，and the rear surfaces of two sets of lenses with different powers are reconstructed under the same parameters；moreover，their optical properties are simulated，quantified，and evaluated. Experimental results demonstrate that the maximum astigmatism of both lens groups reduces by 0. 61 D and 0. 45 D，respectively. The astigmatism in the distance area decreases by 0. 15 D and 0. 16 D，respectively，and the middle channel width（Y = 0 mm）increases by over 1. 8 mm. The proposed reconstructed surface improves the rear surface smoothness，gradient channel width，and effectively reduces PAL maximum astigmatism. © 2023 Chinese Academy of Sciences. All rights reserved.

引用

页码：813 / 821

页数：8

共 19 条

[1] GAO J D, XIANG H ZH, LI N N，, Et al., Influence of weight function on progressive addition lens design ［J］, Acta Photonica Sinica, 49, 9, pp. 41-49, (2020)
[2] ZHANG H P, TANG Y H，, ZHANG H X，, Et al., Optimal design of progressive addition lenses based on aspherical formula［J］, Laser & Optoelectronics Progress, 59, 3, pp. 264-270, (2022)
[3] JIANG H L，, Et al., Alignment tolerant dual-surface sphero-cylindrical progressive addition lens［J］, OSA Continuum, 3, 3, pp. 580-593, (2020)
[4] XIANG H ZH, ZHU T F，, WEI Y F，, Et al., Design for multi-optical-axis progressive addition spectacle lenses［J］, Optical Technique, 41, 4, pp. 355-359, (2015)
[5] WANG J，, SANTOSA F., A numerical method for progressive lens design［J］, Mathematical Models and Methods in Applied Sciences, 14, 4, pp. 619-640, (2004)
[6] Weight distributions of spherical and cylindrical power deviations for designing freeform progressive addition lenses［J］, Optics Communications, 484, (2021)
[7] TANG Y H, WU Q Y，, QIAN L, Et al., Optimizing design for progressive addition lenses by mean curvature flow［J］, Acta Optica Sinica, 31, 5, pp. 194-199, (2011)
[8] TANG Y H, WU Q Y，, QIAN L, Et al., Design of personalized progressive addition lenses［J］, Opt. Precision Eng, 20, 12, pp. 2638-2644, (2012)
[9] ZHANG H X, ZHANG H P，, Et al., Optimization design of progressive addition lenses based on the toric equation［J］, Journal of Suzhou University of Science and Technology（Natural Science Edition）, 39, 2, pp. 37-44, (2022)
[10] SEIDEL H P., A variational approach to progressive lens design［J］, Computer-Aided Design, 30, 8, pp. 595-602, (1998)

← 1 2 →