介绍了渐变焦眼镜的基本结构,阐述了镜片的设计思想,论述了其由上而下光焦度分布与整体面型设计的基本原理。构建了子午线上光焦度分布的多项表达式,运用欧拉公式和拉普拉斯方程的变分法知识给出渐变焦眼镜屈光度等高线为圆形的面型设计,并给出了这种渐变焦镜片表面矢高的表达式。比较了选取不同参数的3种子午线设计的渐变焦镜片的各自特点,分析了适合不同个性化需求的渐变焦镜片子午线屈光度分布。并在最后给出了其中一种方法的设计实例。

The construction of progressive power spectacles and the designing idea of lenses are introduced, the distribution of optical power and surface is also illustrated. The multinomial of optical power on the meridian of progressive power spectacles is described and the design of its surface based on Euler-Lagrange equation and Laplace equation when the contours of optical power of the lenses are circular is also presented. Three kinds of progressive power spectacles which are designed based on different meridional power distribution are compared and the characters are given. The rule of meridional power laws is given to satisfy individual demands according to the practical design and the testing results of progressive power spectacles. In the end, a kind of progressive power spectacles was designed.