渐进多焦点眼用镜片的平均曲率流优化设计

Optimizing Design for Progressive Addition Lenses by Mean Curvature Flow

阐述平均曲率流原理,提出一种利用平均曲率流对初始设计的渐进多焦点眼用镜片进行局部优化以减小指定区域像散的优化设计方法。采用平均曲率流方法使镜片渐进表面上符合设定条件的区域更加趋近于球面,从而减小镜片表面该区域处的像散。给出具体算法步骤和一个优化设计实例,并进行实际加工制作与检测。对比优化前后的光焦度、像散和通道宽度等参数,结果表明:平均曲率流优化方法能够在保证镜片光焦度不变的情况下,有效减小初始设计渐进多焦点眼用镜片的最大像散并适当增加渐变通道宽度和扩大视远区清晰视觉范围。

The principle of mean curvature flow is illustrated.An optimizing method using mean curvature flow is proposed which can reduce the undesirable astigmatism in some regions of the progressive addition lens surface while retaining desirable optical features of the progressive lenses.It 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 optimizing algorithm and an example are given out.An initial designed progressive addition lens and an optimized lens by this method are manufactured and tested.Compared with the original lens,the optimized lens has smaller maximum astigmatism value and larger clear region on the intermediate zone and the distance-vision zone.