眼用镜片论文：渐进多焦点眼镜片的优化设计

眼用镜片论文：渐进多焦点眼镜片的优化设计 眼用镜片论文:渐进多焦点眼镜片的优化设计 【中文摘要】渐进多焦点眼用镜片(简称渐变镜片)与各类矫正近视或老视镜片相比具有许多优点。渐进多焦点眼用镜片能同时满足视远与视近的需求,又避免了双光镜的视远与视近转换时视觉断裂等缺陷,目前渐进多焦点眼用镜片的应用日渐广泛。在设计过程中,初始设计的渐变镜片往往在某些方面存在不足,如视远区不够开阔,通道过窄,像散过大等,本文提出两种对初步设计的渐变镜片的面形数据优化设计。(一)解偏微分方程反演优化渐进多焦点眼用镜片的优化设计。根据初始设计的渐变镜片面形数据反演得到镜片的光焦度分布,通过优化因子法和光焦度平移法得到优化后的光焦度分布,然后解偏微分方程得到优化后的镜片面形。针对两种光焦度优化方法给出两个优化步骤和优化实例,结果表明:优化因子法主要能有效增加渐变通道的宽度。光焦度平移优化法能明显扩展视远区的视觉清晰范围。(二)平均曲率流优化渐进多焦点眼用镜片的优化设计。提出了一种减小渐进多焦点眼用镜片像散的优化设计思想,即渐进镜片的渐变表面越接近球面,则渐进表面的像散越小。阐述了平均曲率流原理并用平均曲率流使渐变表面的优化区域更加趋近球面。给出了具体的优化算法、优化步骤和一个优化实例,结果表明:平均曲率流优化方法能够有效减少渐变表面的最大像散。提出的优化设计方法既保留初始镜片中重要区域的光学性质不变又能减小镜片像散。这些优化设计方法适于用任何设计方法设计的渐进多焦点眼镜片面形数据的优化。 【英文摘要】Since the progressive addition lens (PAL) has some advantages over bifocal and trifocal lens in correcting myopia and presbyopia in particular, it is more accepted by consumers. The PAL provides a continuous range of accommodative powers, and avoids having a visible dividing line or image jump like bifocal lens. The PAL has become a popular approach to the management of myopia and presbyopia in resent years. In the design process, the initial designed PAL often has some shortcomings, such as the clear region on distance-vision is not broader, the intermediate zone is narrower and the astigmatism is larger. Two optimizing design methods are proposed to optimize the preliminary designed surface shape data of the PAL.1. Optimizing the PAL by solving the partial differential equationThe power plot is obtained base on the inversion of the preliminary designed surface shape data. The power plot is changed by adjusting the optimizing factor of an optimization function. Otherwise, the optimized plot of the mean power can also be derived by shifting the mean power of one selected region to another and then by interpolating and smoothing. A partial differential equation of the elliptic type is founded based on the changed mean power. The optimized vector heights of the surface are solved out. Compared with the original lens, the clear region on the intermediate zone become wider by the optimization factor method and the clear region on distance-vision is broaden by the shifting power method.2. Optimizing the PAL by mean curvature flowAn optimizing design concept is presented that the more the surface of the progressive lens becomes closer to spherical by the process of mean curvature flow, the more the astigmatism is smaller. The principle of mean curvature flow operator and the optimizing algorithm are illustrated. An initial designed progressive lens and an optimized lens by this method are manufactured and tested. Compared with the original lens, the optimized lens has smaller maximum astigmatism and larger clear region on the distance-vision zone.All the optimizing methods presented in this paper can reduce the undesirable astigmatism in some regions of the progressive lens surface while retaining desirable optical features of the progressive lens. And the optimizing approaches can optimize the progressive lens given by any design method. 【关键词】眼用镜片 渐进多焦点 优化 像散 【备注】索购全文在线加好友:1.3.9.9.3.8848 同时提供论文写作一对一指导和论文发表委托服务 【英文关键词】lenses progressive addition optimization astigmatism 【目录】渐进多焦点眼镜片的优化设计 中文提要 4-5 Abstract 5-6 第一章 引言 9-20 1.1 人眼的结构和功能 9-11 1.1.1 人眼的结构 9-10 1.1.2 人眼的功能 10-11 1.2 人眼屈光不正的类型及矫正原理 11-17 1.2.1 远视及其矫正原理 12-13 1.2.2 近视及其矫正原理 13-14 1.2.3 散光及其矫正原理 14-15 1.2.4 老视及其矫正原理 15-17 1.3 视力矫正的一般方法 17-18 1.4 课题研究的意义 18-20 第二章 渐进多焦点眼镜片的基本理论 20-26 2.1 渐进多焦点眼镜片的基本结构和功能 20-22 2.2 渐进多焦点眼镜片的性能评价方法 22-23 2.3 渐进多焦点眼用镜片设计要求和设计原则 23 2.4 渐进多焦点眼镜片的主要设计方法概述 23-25 2.4.1 渐进多焦点眼镜片的设计分类 23-24 2.4.2 当前渐进多焦点眼镜片的一些主要设计方法 24-25 2.5 渐进多焦点眼镜片设计存在的问题 25-26 第三章 解偏微分方程反演优化渐进多焦点眼镜片 26-40 3.1 反演优化法的基本原理 26-27 3.2 优化因子法 27-34 3.2.1 优化因子函数 27-28 3.2.2 优化因子法优化实例及结果 28-34 3.3 光焦度平移法 34-39 3.3.1 光焦度平移法的理论基础 34-36 3.3.2 光焦度平移法优化实例及结果分析 36-39 3.5 本章小结 39-40 第四章 平均曲率流优化渐进多焦点眼镜片 40-52 4.1 平均曲率流原理 40-43 4.2 平均曲率流优化渐进多焦点眼镜片的方法设计 43-46 4.3 优化实例及结果分析 46-50 4.3.1 优化前后镜片面形数据光焦度和像散分析 46-49 4.3.2 优化前和优化后镜片加工样品光学参数测量结果分析 49-50 4.4 本章小结 50-52 第五章 与展望 52-54 5.1 总结 52 5.2 创新点 52-53 5.3 展望 53-54 参考文献 54-56 攻读学位期间公开发表的论文及科研成果 56-57 致谢 57-58