Comparison of design methods for negative lenticular lens

Hua-zhong XIANG; Lu ZHANG; Jian-dong GAO; Nian-ning LI; Gang ZHENG

doi:10.37188/OPE.2020.0500

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Comparison of design methods for negative lenticular lens

Modern Applied Optics | 更新时间：2021-06-21

- Comparison of design methods for negative lenticular lens
- Optics and Precision Engineering Vol. 29, Issue 5, Pages: 967-974(2021)
- 作者机构：
  
  1.上海理工大学医疗器械与食品学院教育部医用光学技术与仪器重点实验室，上海 200093
  2.上海理工大学上海市介入医疗器械工程研究中心，上海 200093
- 作者简介：
- 基金信息：
- DOI：10.37188/OPE.2020.0500
  CLC： TB133
- Received：03 October 2020，
  
  Revised：20 November 2020，
  
  Published：15 May 2021
- 稿件说明：
移动端阅览
项华中,张露,高健东等.负缩镜片设计方法对比[J].光学精密工程,2021,29(05):967-974.

XIANG Hua-zhong,ZHANG Lu,GAO Jian-dong,et al.Comparison of design methods for negative lenticular lens[J].Optics and Precision Engineering,2021,29(05):967-974.
项华中,张露,高健东等.负缩镜片设计方法对比[J].光学精密工程,2021,29(05):967-974. DOI： 10.37188/OPE.2020.0500.

XIANG Hua-zhong,ZHANG Lu,GAO Jian-dong,et al.Comparison of design methods for negative lenticular lens[J].Optics and Precision Engineering,2021,29(05):967-974. DOI： 10.37188/OPE.2020.0500.

摘要

通过对比3种负缩透镜优化设计方法来选择易精密加工、质量减轻和佩戴美观的高度近视镜片。在相同的光学参数下，运用双三次样条插值法、高阶多项式和几何构造法设计了3组

10 m

-1

的负缩镜片，对比了矢高和光焦度的分布，加工了设计的负缩镜片，比较了3种设计镜片的中心定焦区、最大厚度和边缘厚度。几何构造法镜片中心定焦区面积与双三次样条插值法相同，比高阶多项式大20.99%，最大厚度较高阶多项式法薄0.7%，比双三次样条插值法薄13.26%。同时，几何构造法边缘厚度较高阶多项式法薄80.3%，比双三次样条插值法薄92.42%；双三次样条插值法的中心光焦度与仿真结果的差值为0.06 m

-1

，几何构造法的差值为0.11 m

-1

，高阶多项式的差值为0.15 m

-1

。几何构造法设计的镜片能够满足佩戴者的需求，亦适用于其他类型光学元件的设计。

Abstract

The purpose of this study was to compare three different design methods for negative lenticular lenses and identify lenses for high myopia that can be fabricated precisely and easily， are low weight， and are aesthetically pleasing. Three optimized design methods for negative lenticular lenses—the bicubic spline interpolation， high-order polynomial， and geometric construction methods—were proposed. Using identical optical parameters， three groups of

10 m

-1

negative lenticular lenses were designed， and the sagitta and the power distribution map were compared. The designed negative lenticular lenses were then fabricated， and the central optical area， maximum thickness， and edge thickness were compared. The central optical area obtained via the geometric construction method was equal to that obtained via the bicubic spline interpolation method； however， this area was 20.99% greater than that obtained using the high-order polynomial method. Furthermore， the maximum thickness obtained using the geometric construction method is 0.7% less than that obtained via the high-order polynomial method， which， in turn， is 13.26% less than that afforded by the bicubic spline interpolation method. The edge thickness under the geometric construction method is 80.3% less than that under the higher-order polynomial method， which， in turn， is 92.42% less than that obtained via the bicubic spline interpolation method. The differences between the central optical power in the simulation and the central optical power afforded by the bicubic spline interpolation， geometric construction， and high-order polynomial methods are 0.06， 0.11， and 0.15 m

-1

， respectively. Thus， it was concluded that the geometric construction method meets the requirements of the wearers. These methods are also suitable for designing other types of optical components.

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