• Chinese Optics Letters
  • Vol. 16, Issue 7, 072201 (2018)
Wei Lou1, Dewen Cheng1、*, Luo Gu1, Weihong Hou2, and Yongtian Wang1
Author Affiliations
  • 1School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China
  • 2Beijing NED+ Ltd., Beijing 100081, China
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    DOI: 10.3788/COL201816.072201 Cite this Article Set citation alerts
    Wei Lou, Dewen Cheng, Luo Gu, Weihong Hou, Yongtian Wang. Optical design and evaluation of Alvarez-type vision-training system[J]. Chinese Optics Letters, 2018, 16(7): 072201 Copy Citation Text show less

    Abstract

    Myopia has become a noteworthy issue due to the increasing use of our eyes. We propose a continuous power variation vision-training device based on Alvarez lenses with the power ranging from 10 D to +2 D. First, we introduce the principle of Alvarez lenses and the evaluation method of dioptric power and astigmatism. Then, we optimize the optical system described by Zernike polynomials. Finally, we analyze the distributions of dioptric power and astigmatism with the overall surface analysis and fields of view (FOVs) analysis. The results show that the optical performance of an optimized system can meet the requirement within a 40° FOV.
    {S1(x,y)=a(xy2+x3/3)+bx+t0S2(x,y)=a(xy2+x3/3)bx+t0,(1)

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    {S1(xΔd,y)=a(xΔd)y2+1/3a(xΔd)3+b(xΔd)+t0S2(x+Δd,y)=a(x+Δd)y21/3a(x+Δd)3b(x+Δd)+t0.(2)

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    Sc=S1(xΔd,y)+S2(x+Δd,y)=2aΔd(x2+y2)2/3aΔd32bΔd+2t0.(3)

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    P=n12(2Sx2+2Sy2).(4)

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    a=ΔP4(n1)ΔX.(5)

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    Pi=12(n1)(k1+k2),(6)

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    Ai=(n1)(k1k2),(7)

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    S1(x,y)=c2x+c7(x33xy2)+c8(3x3+3xy22x)=(c22c8)x+(3c8+c7)x3+(3c83c7)xy2.(8)

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    c7=c8=ΔPR324ΔX(n1).(9)

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    Wei Lou, Dewen Cheng, Luo Gu, Weihong Hou, Yongtian Wang. Optical design and evaluation of Alvarez-type vision-training system[J]. Chinese Optics Letters, 2018, 16(7): 072201
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