Contact lens design to third order to compensate the spherical aberration of the eye from Zernike polynomials

O. garcia-lievanos, E. Terán-Bobadilla, Luis A Hernandez-Flores, Leticia Sanchez-Gonzalez
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Abstract

To compensate the spherical aberration of the eye using the conic constant of the first surface of a contact lens for different refractive errors. Refractive errors were simulated by modifying only the first curvature of the cornea. For every refractive error was calculating Zernike polynomials using Optics Software for Layout and Optimization (OSLO) EDU edition with and without contact lens. To calculate the conic constant of the contact lens we use the Seidel sums for thin lenses from the longitudinal spherical aberration as it proposes V. Mahajan. The value of Zernike spherical aberration coefficient for the eye with farsightedness (+ 5.00 D) + spherical contact lens was 0.142691 μm. The conic constant value to compensate the spherical aberration was -0.222995 and the value of Zernike spherical aberration coefficient of the eye + aspherical contact lens was 0.004354 μm. The value of Zernike spherical aberration coefficient for the eye with myopia (- 5.00 D) + spherical contact lens was 0.144505 μm. The conic constant value to compensate the spherical aberration was -0.101424 and the value of Zernike spherical aberration coefficient of the eye + aspherical contact lens was 0.072820 μm. The proposed method allows us to design contact lenses that compensate for the spherical aberration of the eye from the Zernike polynomials. Although the design of contact lenses is to third order, we obtain a smaller spherical aberration than the chromatic aberration on the axis without use optimization routine.
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从泽尼克多项式出发,将隐形眼镜设计为三阶来补偿眼睛的球差
针对不同的屈光不正,利用隐形眼镜第一表面的圆锥常数来补偿眼睛的球差。仅通过改变角膜的第一曲率来模拟屈光不正。对于每一个屈光不正计算泽尼克多项式使用光学软件布局和优化(奥斯陆)EDU版有和没有隐形眼镜。为了计算隐形眼镜的圆锥常数,我们从纵向球差出发,使用薄透镜的赛德尔和,它提出了V. Mahajan。远视(+ 5.00 D) +球面接触镜眼的泽尼克球差系数为0.142691 μm。补偿球差的圆锥常数为-0.222995,眼+非球面接触镜的泽尼克球差系数为0.004354 μm。近视(- 5.00 D)眼+球面接触镜的泽尼克球差系数为0.144505 μm。补偿球差的圆锥常数为-0.101424,眼+非球面接触镜的泽尼克球差系数为0.072820 μm。提出的方法使我们能够设计出从泽尼克多项式中补偿眼球球差的隐形眼镜。虽然隐形眼镜的设计是三阶的,但在不使用优化程序的情况下,得到的球面像差小于轴上的色差。
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