权重函数对渐进镜片设计的影响

Influence of Weight Function on Progressive Addition Lens Design

为了研究权重分布函数对镜片设计的影响,在构建最小化模型的基础上,使用样条插值方法对过渡区域权重函数进行处理,设计了三组连接高权重区域和低权重区域的过渡区域变化快慢不同的权重分布函数.根据不同的权重分布函数设计了相应的渐进多焦点自由曲面镜片,并进行了仿真、加工及评价.实验结果表明权重分布矩阵对镜片光学性能有影响,曲面的平均曲率和主曲率差的过渡区域权重变化越快,镜片的光学性能越优.因此,使用过渡区域较快变化的权重函数有利于降低镜片周边像散、优化镜片光焦度和散光分布.

In order to study the influence of the weight distribution function on lens design,on the basis of constructing the minimization model,the spline interpolation method was used to process the weight function of the transition region,and three groups of weight distribution functions were designed to connect the high weight region and the low weight region.According to different weight distribution functions,the corresponding progressive addition lens was designed,and the simulation,machining and evaluation were carried out.The experimental results showed that the weight distribution matrix has an impact on the optical performance of the lens.The faster the weight changes in the transition region of the average curvature and the difference between the principal curvature of the surface,the better the optical performance of the lens.Therefore,using the weight function with fast change of transition region is beneficial to reduce the astigmatism around the lens and optimize the lens power and astigmatism distribution.