2020
DOI: 10.48550/arxiv.2007.02710
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Admissible surfaces in progressive addition lenses

Sergio Barbero,
María del Mar González

Abstract: 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 c… Show more

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