泽尼克多项式与圆形贝塞尔函数表示像差波前

Cristian M. Medina Coca, Brandon D. Sánchez Valencia, Emerson A. González Díaz, José L. Magaña-Chávez, Joel Cervantes Lozano, S. Balderas-Mata
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引用次数: 0

摘要

本文提出了一种基于圆形贝塞尔函数表示像差波前的替代方法。这些波前是通过Shack-Hartmann波前传感器原型获得的,该原型先前根据墨西哥官方标准进行了统计验证。我们展示了由两个眼科试验透镜畸变的两个波前得到的实验结果;其中一个球面像差为-1.0屈光度,另一个离焦像差为+1.0屈光度。两种波前都用圆形贝塞尔函数表示,并与它们在泽尼克多项式中的对应表示进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Zernike polynomials vs circular Bessel functions to represent aberrated wavefronts
This research presents an alternative method to represent aberrated wavefronts based on circular Bessel functions. These wavefronts are obtained by means of a Shack-Hartmann wavefront sensor prototype, which was previously statistical validated according to the official Mexican standard. We show experimental results obtained from two wavefronts aberrated by two ophthalmic trial lenses; one of them has a spherical aberration of -1.0 diopter and the other one has a defocus aberration of +1.0 diopter. Both wavefronts are shown in terms of circular Bessel functions and compared with their corresponding representation in Zernike polynomials.
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