• Chinese Optics Letters
  • Vol. 16, Issue 11, 113302 (2018)
Yiyu Li1、2、*, Wei Huang1, Haihua Feng1、2, and Jiaojie Chen1、2
Author Affiliations
  • 1School of Optometry and Ophthalmology, Wenzhou Medical University, Wenzhou 325027, China
  • 2The Eye Hospital of Wenzhou Medical University, Wenzhou 325027, China
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    DOI: 10.3788/COL201816.113302 Cite this Article Set citation alerts
    Yiyu Li, Wei Huang, Haihua Feng, Jiaojie Chen. Customized design and efficient machining of astigmatism-minimized progressive addition lens[J]. Chinese Optics Letters, 2018, 16(11): 113302 Copy Citation Text show less

    Abstract

    Astigmatism is inevitable and inherent to progressive addition lenses (PALs), which are typically distributed in the lateral areas on both sides of the progressive corridor. In this study, we took into account the spectacle frame for the customized freeform PAL design with the variational-difference numerical approach. The PAL surface with minimized astigmatism, approximately equal to 84% of the added power, was numerically resolved without expending the zone for clear vision. We validated our approach by experimentally demonstrating the procedure from tool path generation to surface power measurement, thus providing an efficient solution to the personalization of astigmatism-minimized PAL design and manufacture.
    H(x,y)=[κ1(x,y)+κ2(x,y)]/2.(1)

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    P(x,y)=(1n)H(x,y),(2)

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    A(x,y)=(1n)|κ1(x,y)κ2(x,y)|.(3)

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    DOF=Ω{α(x,y)|κ1(x,y)κ2(x,y)|+β(x,y)[H(x,y)Hr(x,y)]2}dxdy,(4)

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    F(x,y)={1for(x,y)insideframezone<0.05for(x,y)outsideframezone.(5)

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    S(x,y)=n,mCnmZnm(x,y),(6)

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    Yiyu Li, Wei Huang, Haihua Feng, Jiaojie Chen. Customized design and efficient machining of astigmatism-minimized progressive addition lens[J]. Chinese Optics Letters, 2018, 16(11): 113302
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