Optimize progressive addition lens by Zernike polynomials

Previous research indicates that modeling progressive addition lens (PAL) surfaces with high precision requires 231 Zernike polynomials, presenting substantial optimization challenges. This study introduces an innovative method for optimizing PALs by utilizing Zernike polynomial coefficients within commercial optical design software, thereby significantly enhancing computational efficiency. The Analytic Hierarchy Process (AHP) is employed to allocate weights within the merit function. Furthermore, a novel technique is introduced to minimize the number of optimization variables, thereby boosting optimization efficiency. In comparison to traditional methods, our approach achieves a 79.6% reduction in computation time. Tests conducted on manufactured lens samples revealed a 17.2% increase in the width of the distance zone and a 15.9% increase in the width of the near zone. Our method offers an effective strategy for optimizing PALs.