Design of Progressive Addition Lenses Based on Conic Parametric Equations

Xiaodie Zhan; Huazhong Xiang; Yaqiong Wang; Yunjin Zhang; Xin Zhang; Qihui Ding; Zexi Zheng; Cheng Wang; Dawei Zhang; Jiabi Chen; Songlin Zhuang

doi:10.3788/AOS221726

Acta Optica Sinica, Volume. 43, Issue 7, 0722001(2023)

Design of Progressive Addition Lenses Based on Conic Parametric Equations

Xiaodie Zhan¹, Huazhong Xiang^1、*, Yaqiong Wang¹, Yunjin Zhang¹, Xin Zhang¹, Qihui Ding¹, Zexi Zheng², Cheng Wang^1,3, Dawei Zhang^4,5, Jiabi Chen⁵, and Songlin Zhuang^4,5

Author Affiliations

¹Institute of Biomedical Optics and Optometry, School of Health Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

²School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

³Shanghai Engineering Research Center of Interventional Medical Device, University of Shanghai for Science and Technology, Shanghai 200093, China

⁴Engineering Research Center of Optical Instruments and Systems, Ministry of Education, University of Shanghai for Science and Technology, Shanghai 200093, China

⁵School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

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Figures & Tables(12)

Fig. 1. Construction diagram of curved surface for the lenses

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Fig. 2. Average curvature curve of the lenses on meridian

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Fig. 3. Cross section diagram of conic surface

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Fig. 4. Plane distribution of different conic equations. (a) Hyperbola; (b) parabola; (c) ellipse; (d) circle

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Fig. 5. Contour distribution of u(x,y) at circular distribution

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Fig. 6. u(x,y) contour maps obtained by solving different conic curve equations. (a) Hyperbola; (b) parabola; (c) ellipse; (d) circle

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Fig. 7. FFV software simulation results of four focal power distributions. (a) Hyperbola; (b) parabola; (c) ellipse; (d) circle

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Fig. 8. FFV software simulation results of four different astigmatism distributions. (a) Hyperbola; (b) parabola; (c) ellipse; (d) circle

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Fig. 9. Actual measurement results of four focal power distributions. (a) Hyperbola; (b) parabola; (c) ellipse; (d) circle

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Fig. 10. Actual measurement results of four optical astigmatism distributions. (a) Hyperbola; (b) parabola; (c) ellipse; (d) circle

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Table 1. Design parameters of four sets of progressive addition lenses
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Table 1. Design parameters of four sets of progressive addition lenses
Parameter Distance of SPH /D A_DD /D Distance of CYL /D Refractiveindex CT /mm W_N /mm W_D /mm h /mm L /mm p /mm
Value 0 2.0 0 1.556 2.3 12 36 14 2 4

Table 2. Actual measurement results of four progressive addition lenses

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Table 2. Actual measurement results of four progressive addition lenses

Lens	Distance of SPH /D	A_DD /D	Maximum astigmatism /A_DD	Angle of distance zone /（°）	Angle of near zone /（°）	Actual W_D /mm	Actual W_N /mm
Hyperbola	0.08	1.93	1.36	164	113	29.66	9.32
Parabola	0.07	1.98	0.90	164	100	29.66	9.87
Ellipse	0.05	1.94	0.94	164	89	31.06	9.89
Circle	0.06	1.95	0.98	159	83	28.13	11.23

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Xiaodie Zhan, Huazhong Xiang, Yaqiong Wang, Yunjin Zhang, Xin Zhang, Qihui Ding, Zexi Zheng, Cheng Wang, Dawei Zhang, Jiabi Chen, Songlin Zhuang. Design of Progressive Addition Lenses Based on Conic Parametric Equations[J]. Acta Optica Sinica, 2023, 43(7): 0722001

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