论文标题
渐进式添加镜片中可接受的表面
Admissible surfaces in progressive addition lenses
论文作者
论文摘要
进行性添加镜头包含空间变化的曲率表面，该表面为镜头上不同观看区域提供了可变的光学功率。我们得出完整的兼容性方程，这些方程提供了沿任何任意PAL平滑表面上的曲线线的圆柱线的精确幅度。这些方程式表明，与当前的知识，气缸及其衍生物相反，不仅取决于主曲率及其沿主要线的衍生物，而且还取决于沿着原理线正交的沿线曲率及其衍生物。我们通过数值计算量化了大地曲率的相关性。我们还得出了仅限于沿曲线线应用的扩展和精确的Minkwitz定理，但不包括脐带。
Progressive addition lenses contain a surface of spatially-varying curvature, which provides variable optical power for different viewing areas over the lens. We derive complete compatibility equations that provide the exact magnitude of cylinder along lines of curvatures on any arbitrary PAL smooth surface. These equations reveal that, contrary to current knowledge, cylinder, and its derivative, does not only depend on principal curvature and its derivatives along the principal line but also on the geodesic curvature and its derivatives along the line orthogonal to the principal line. We quantify the relevance of the geodesic curvature through numerical computations. We also derive an extended and exact Minkwitz theorem only restricted to be applied along lines of curvatures, but excluding umbilical points.
