Optics and Precision Engineering, Volume. 33, Issue 6, 839(2025)
Optimization of asymmetric progressive addition lens design with cubic spline interpolation
Figures & Tables(15)
Fig. 2. Asymmetrical design of progressive multifocal freeform lenses
Fig. 3. Schematic diagram of the design of the lens after rotation of the translational axis
Table 1. First set of fixed point values on the meridian
View tableView in ArticleTable 1. First set of fixed point values on the meridian
i 0 1 2 3 4 5 6 xi -40 -25 0 12 16 25 40 Δyi -0.25 -0.25 -1 -2 -2.24 -2.44 -2.44
Table 2. Second set of fixed point values on the meridian
View tableView in ArticleTable 2. Second set of fixed point values on the meridian
i 0 1 2 3 4 5 6 xi -40 -25 -4 12 16 25 40 Δyi 0.25 0.25 0.25 -2 -2 -2.2 -2.2
Table 3. Initial design parameters of design 1， 2， and 3
View tableView in ArticleTable 3. Initial design parameters of design 1， 2， and 3
Design CT/mm DSPH/D Add/D DCYL/D Δy（x=40 mm）/mm f h/mm 1 2.3 0 2 0 0 1.556 14 2 2.3 0 2 0 2.44 1.556 14 3 2.3 0 2 0 2.2 1.556 14
Table 4. Parameters comparison of Lens 1，2 and 3
View tableView in ArticleTable 4. Parameters comparison of Lens 1，2 and 3
Lens Style Angle of rotation/（°） Translation （geometry）/mm Interpolated value/mm 1 Symmetrical design - - - 2 Rotational panning offset 30 1.5 - 3 Cubic spline interpolation offset - - 2.2
Table 5. Optical power values and channel width values measured by progressive addition lenses
View tableView in ArticleTable 5. Optical power values and channel width values measured by progressive addition lenses
Parameter DSPH/D NSPH/D DCYL/D Maximum astigmatism/D Center corridor width/mm Lens 1 -0.01 1.96 0.00 1.94 16.38 Lens 2 0.01 1.95 0.01 2.01 15.75 Lens 3 0.01 1.96 0.02 1.75 15.56
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Huazhong XIANG, Keting WU, Lefei MA, Zhixian MEI, Min XIE, Jun FAN, Zexi ZHENG, Dawei ZHANG, Songlin ZHUANG. Optimization of asymmetric progressive addition lens design with cubic spline interpolation[J]. Optics and Precision Engineering, 2025, 33(6): 839
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Received: Nov. 20, 2024
Accepted: --
Published Online: Jun. 16, 2025
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