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Differentiable design of progressive-addition lens using NURBS surface
Optics Express
|August 13, 2025
Summary
This study introduces an efficient method for designing progressive-addition lenses (PAL) to correct age-related presbyopia. The new approach effectively minimizes astigmatism, improving vision for those with difficulty focusing on near objects.
Area of Science:
- Optometry
- Optical Engineering
- Computational Design
Background:
- Presbyopia is a common age-related condition impairing near vision, affecting over a billion people worldwide.
- Current progressive-addition lenses (PAL) often fail to fully correct astigmatism in peripheral lens areas.
Purpose of the Study:
- To develop an efficient and accurate method for designing PAL.
- To address and mitigate astigmatism in the lateral zones of PALs.
Main Methods:
- Utilized a differentiable optimization approach for PAL design.
- Employed non-uniform rational B-spline (NURBS) surfaces for lens modeling.
- Incorporated a modified variational-difference numerical method for initial estimates.
- Focused on optimizing a nonlinear error function without local approximations.
Main Results:
- Successfully pushed high astigmatism areas away from the intermediate transition zone.
- Demonstrated improved astigmatism control in the lateral lens regions.
- Validated the method's effectiveness through two design examples.
Conclusions:
- The proposed differentiable optimization method offers an effective solution for designing PALs.
- This technique enhances the correction of presbyopia by reducing peripheral astigmatism.
- The findings contribute to improved optical performance in corrective lenses.
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