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菲涅耳棱镜与传统棱镜:它们对额状面平行平面双眼单视界的影响。

Fresnel vs. conventional prisms: their effects on the apparent fronto-parallel plane horopter.

作者信息

Brunnett S M, Munson M T, Kirschen D G

机构信息

Southern California College of Optometry, Fullerton, California.

出版信息

Am J Optom Physiol Opt. 1988 Jul;65(7):519-26.

PMID:3207155
Abstract

Among the inherent optical aberrations found in conventional crown glass or resin prisms is the property known as nonuniform relative magnification. Prisms, by definition, displace an image by a given amount. However, the final size of the image is nonuniform, being relatively larger toward the apex than toward the base of the prism. At present, reduction of the amount of nonuniform magnification is achieved by fabricating the prismatic correction on relatively steeper base curves (i.e., +9.00 D). This research deals with an attempt to reduce nonuniform magnification using Fresnel prisms. In this way, image displacement is created only by small prism apices, each of equal power and each producing identical image displacement resulting in a smaller degree of nonuniformity of image size. In this experiment, equal amounts of prism were fabricated on flat and steep base curves, using either conventional or Fresnel prism. The precise magnitude of the nonuniform relative magnification for each set of lenses was measured by a number of observers using the Apparent Fronto-Parallel Plane (AFPP) horopter apparatus. After statistical analysis using both an analysis of variance (ANOVA) and a matched pair t-test, there proved to be no significant reduction in the amount of nonuniform relative magnification when Fresnel prisms were used in place of conventional ground prisms. Furthermore, maximal reduction of this aberration appears to be effected only by fabricating such corrections on steep base curves. Relative magnification is more a function of the orientation of the base-apex meridian and the angle of incident light from an extended object than of effects of prism type or thickness.

摘要

在传统冕牌玻璃或树脂棱镜中发现的固有光学像差中,有一种特性被称为相对放大率不均匀。根据定义,棱镜会将图像位移一定量。然而,图像的最终尺寸是不均匀的,朝着棱镜的顶角方向比朝着棱镜的底边方向相对更大。目前,通过在相对更陡的基底曲线上(即+9.00 D)制造棱镜矫正来减少相对放大率不均匀的量。本研究尝试使用菲涅耳棱镜来减少相对放大率不均匀。通过这种方式,图像位移仅由小的棱镜顶角产生,每个棱镜顶角具有相等的屈光力且产生相同的图像位移,从而导致图像尺寸的不均匀程度较小。在本实验中,使用传统棱镜或菲涅耳棱镜在平坦和陡峭的基底曲线上制造等量的棱镜。每组镜片的相对放大率不均匀的精确大小由多名观察者使用表观额状平行平面(AFPP)双眼单视界仪进行测量。在使用方差分析(ANOVA)和配对t检验进行统计分析后,结果表明当使用菲涅耳棱镜代替传统研磨棱镜时,相对放大率不均匀的量没有显著减少。此外,似乎只有在陡峭的基底曲线上制造这种矫正才能最大程度地减少这种像差。相对放大率更多地取决于基底 - 顶角子午线的方向以及来自扩展物体的入射光角度,而不是棱镜类型或厚度的影响。

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