Chromatic dispersions of the ocular media of human eyes
Chromatic dispersions of the ocular media of human eyes
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DOI：
10.1364/josaa.22.000029
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发表时间：
2005-01-01
影响因子：
1.9
通讯作者：
Smith, G
中科院分区：
文献类型：
--
作者：
Atchison, DA;Smith, G
在常用的色散方程中，只有Sellmeier方程和Cauchy方程似乎有理论基础。柯西方程是从Sellmeier方程导出的。更容易实现，并且被发现给出了与已公布的人眼折射率数据的极好拟合。我们使用柯西方程来模拟具有梯度折射率透镜的Gullstrand 1号示意眼的屈光色差。为了估计透镜内不同折射率水平下的色散，对一个标称折射率下的单个色散方程进行线性缩放。在利用Sellmeier方程探索了平均折射率对色散的影响后，发现一个波长的色散方程只是任何其他波长的色散方程的线性缩放版本，从而证明了这种缩放是合理的。由于柯西方程是基于理论的，并且与可见光谱中的数据非常吻合，因此可以将结果可靠地外推到近红外。(C)2005年，美国光学学会。
Of the commonly used chromatic dispersion equations, only the Sellmeier and the Cauchy equations seem to be theoretically based. Cauchy's equation is derived from the Sellmeier equation. is simpler to implement, and was found to give an excellent fit to published refractive-index data of the human eye. We used Cauchy equation to model the chromatic difference in refraction of the Gullstrand number 1 schematic eye with a gradient-index lens. To estimate the dispersion at different refractive-index levels within the lens, a single dispersion equation at one nominal refractive index was linearly scaled. This scaling was justified after exploring the effect of mean refractive index on dispersion by using Sellmeier's equation and finding that a dispersion equation for one wavelength is just a linearly scaled version of the dispersion equation at any other wavlength. Because Cauchy's equation is theoretically based and gives excellent fit to data in the visible spectrum, it can be used to extrapolate results into the near infrared with confidence. (C) 2005 Optical Society of America.