基于多焦点自由曲面菲涅耳人工晶状体设计
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摘要
为了实现人工晶状体植入人眼后在远、中、近三个视距范围内均清晰成像,帮助白内障患者获得更好的视觉体验,设计了多焦点菲涅耳透镜,其环带面采用自由曲面的形式。通过每个环带交替控制焦距的方法,避免了随着瞳孔收缩而出现的焦点丢失的问题。基于折射定律的矢量形式,采取迭代计算的方法,设计了自由曲面形式的菲涅耳透镜,并模拟了不同焦点处的能量分布。基于ISO 11979-2标准眼模型模拟了自由曲面菲涅耳三焦点人工晶状体植入眼成像系统,附加光焦度分别为+1.66D和+3.32D。通过光线追迹计算了不同光焦度下的调制传递函数;计算结果表明:在空间频率为50lp/mm时,远焦点、中焦点及近焦点处调制传递函数均在0.2以上,满足患者的使用需求。
In order to help cataract patients obtain a better visual experience with the intraocular lens implantation,which form a clear image on the retina in the far,intermediate and near vision synchronously,we design a trifocal intraocular lens with freeform-Fresnel surface.Each individual focal length is controlled by several different Fresnel zones,which can avoid the focal point disappearing with pupil contraction.Based on the vector form of refraction law,the Fresnel lens with freeform surface is designed by iterative computation,and the energy distribution at different focal points is simulated.Afterwards,we construct the trifocal intraocular lens with freeform-Fresnel surface in the eye model of ISO 11979-2,of which the additional power of the focal length is +1.66 D and+3.32 D,respectively.By ray tracing,the modulation transfer function of the system at different focal point is obtained.It is clear that the modulation transfer function is greater than 0.2 at the spatial frequency of 50 lp/mm for all focal points,which meets the daily vision demand of cataract patients.
In order to help cataract patients obtain a better visual experience with the intraocular lens implantation,which form a clear image on the retina in the far,intermediate and near vision synchronously,we design a trifocal intraocular lens with freeform-Fresnel surface.Each individual focal length is controlled by several different Fresnel zones,which can avoid the focal point disappearing with pupil contraction.Based on the vector form of refraction law,the Fresnel lens with freeform surface is designed by iterative computation,and the energy distribution at different focal points is simulated.Afterwards,we construct the trifocal intraocular lens with freeform-Fresnel surface in the eye model of ISO 11979-2,of which the additional power of the focal length is +1.66 D and+3.32 D,respectively.By ray tracing,the modulation transfer function of the system at different focal point is obtained.It is clear that the modulation transfer function is greater than 0.2 at the spatial frequency of 50 lp/mm for all focal points,which meets the daily vision demand of cataract patients.
引文
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[15]Liang W Y,Li Y X,Long Y B,et al.Design of freeform surface lens with chip on board LED sources for uniform illumination[J].Laser&Optoelectronics Progress,2017,54(1):012202.梁文跃,李远兴,龙拥兵,等.板上芯片型LED光源均匀照明自由曲面透镜设计[J].激光与光电子学进展,2017,54(1):012202.
[16]Zhao H,Li C G,Chen Z T,et al.Design of collimating lens with uniform illumination for LEDbased on double freeform surface[J].Acta Optica Sinica,2017,37(4):0422001.赵欢,李长庚,陈志涛,等.基于双自由曲面的LED均匀照明准直透镜设计[J].光学学报,2017,37(4):0422001.
[17]Technical Committee ISO/TC 172/SC 7 Ophthalmic Optics and Instruments.Ophthalmic implantsintraocular lenses-part 2:optical properties and test methods:ISO11979-2[S].2014.
[2]Apple D J,Ram J,Foster A,et al.Elimination of cataract blindness:aglobal perspective entering the new millenium[J].Survey of Ophthalmology,2000,45(s1):1-196.
[3]Zelichowska B,Rekas M,Stankiewicz A,et al.Apodized diffractive versus refractive multifocal intraocular lenses:optical and visual evaluation[J].Journal of Cataract&Refractive Surgery,2008,34(12):2036-2042.
[4]Voldemar K,Lenkova G A.Diffractive-refractive intraocular lens[C].Diffractive Optics and MicroOptics,2000:214-215.
[5]Klein S A.Understanding the diffractive bifocal contact lens[J].Optometry and Vision Science,1993,70(6):439-460.
[6]Simpson M J.Diffractive multifocal intraocular lens image quality[J].Applied Optics,1992,31(19):3621-3626.
[7]Schwiegerling J,Dehoog F.Problems testing diffractive intraocular lenses with Shack-Hartmann sensors[J].Applied Optics,2010,49(16):62-68.
[8]Hayashi K,Yoshida M,Hayashi H.Postoperative corneal shape changes:microincision versus smallincision coaxial cataract surgery[J].Journal of Cataract&Refractive Surgery,2008,35(2):233-239.
[9]Liu F,Shao Y.Dialectical analysis on microincision cataract surgery development[J].Medicine and Philosophy,2015,36(14):89-91.刘菲,邵彦.微切口白内障手术发展中的利弊分析[J].医学与哲学,2015,36(14):89-91.
[10]Zhang Y J,Zhao Z L,Wu D M,et al.The simulation analysis of focusing performance based on PMMA of Fresnel lens[J].Plastics,2016,45(5):1-4.张燕军,赵中里,吴大鸣,等.基于PMMA的菲涅尔透镜聚光性能的模拟分析[J].塑料,2016,45(5):1-4.
[11]Wu H L.The research of Fresnel concentrator for HCPV[D].Wuhan:Wuhan University of Technology,2010.吴贺利.菲涅尔太阳能聚光器研究[D].武汉:武汉理工大学,2010.
[12]He Z H,Cao J,Song J.Design method of multisection freeform surface lens[J].China Light&Lighting,2017(1):1-5.何志宏,曹婧,宋杰.多段自由曲面透镜的设计方法[J].中国照明电器,2017(1):1-5.
[13]Zhu Z M,Luo H.Design method of diffuse reflection freeform surface[J].Laser&Optoelectronics Progress,2017,54(5):052201.祝振敏,罗慧.漫反射自由曲面的设计方法[J].激光与光电子学进展,2017,54(5):052201.
[14]Peng Y M,Su Z P.Design of freeform surface lens for shaping divergent laser beam[J].Acta Optica Sinica,2016,36(5):0522003.彭亚蒙,苏宙平.用于发散激光光束整形的自由曲面透镜设计[J].光学学报,2016,36(5):0522003.
[15]Liang W Y,Li Y X,Long Y B,et al.Design of freeform surface lens with chip on board LED sources for uniform illumination[J].Laser&Optoelectronics Progress,2017,54(1):012202.梁文跃,李远兴,龙拥兵,等.板上芯片型LED光源均匀照明自由曲面透镜设计[J].激光与光电子学进展,2017,54(1):012202.
[16]Zhao H,Li C G,Chen Z T,et al.Design of collimating lens with uniform illumination for LEDbased on double freeform surface[J].Acta Optica Sinica,2017,37(4):0422001.赵欢,李长庚,陈志涛,等.基于双自由曲面的LED均匀照明准直透镜设计[J].光学学报,2017,37(4):0422001.
[17]Technical Committee ISO/TC 172/SC 7 Ophthalmic Optics and Instruments.Ophthalmic implantsintraocular lenses-part 2:optical properties and test methods:ISO11979-2[S].2014.