2024-03-29T01:17:37Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/2297502021-02-23T04:54:30Zcom_10261_93com_10261_4col_10261_346
http://hdl.handle.net/10261/229750
10.1364/OL.401927
410948
Admissible surfaces in progressive addition lenses
Optical Society of America
2020
artículo
Barbero, Sergio
González, María del Mar
2020-10-07
4 pags., 4 figs.
Progressive addition lenses (PALs) contain a surface of spatially varying curvature, which supplies variable optical power for different viewing areas over the lens. We derive complete compatibility equations providing the exact magnitude of a cylinder along lines of curvature on any arbitrary PAL smooth surface. These equations reveal that, contrary to current knowledge, the cylinder and its derivative depend not only on the 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 restricted only to be applied along lines of curvature, but excluding umbilical points.
Ministerio de Economía y Competitividad (España)
Optics Letters
2020
45
5656
5659