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

S M Brunnett, M T Munson, D G Kirschen
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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.

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菲涅耳与传统棱镜:它们对视前平行平面光学的影响。
在传统的冠状玻璃或树脂棱镜中发现的固有光学像差是称为非均匀相对放大的特性。根据定义,棱镜使图像偏移一定的量。然而,图像的最终尺寸是不均匀的,朝向顶点的尺寸比朝向棱镜底部的尺寸要大。目前,减少非均匀放大的数量是通过在相对陡峭的基曲线(即+9.00 D)上制造棱柱校正来实现的。本研究涉及使用菲涅耳棱镜来减少非均匀放大的尝试。这样,图像位移仅由小棱镜产生,每个棱镜的功率相等,每个棱镜产生相同的图像位移,导致图像尺寸的不均匀性程度较小。在这个实验中,等量的棱镜被制作在平坦和陡峭的基础曲线上,使用传统或菲涅耳棱镜。每组透镜的非均匀相对放大倍率的精确大小由许多观测者使用视锋平行平面(AFPP)直升机测量。经过方差分析(ANOVA)和配对配对t检验的统计分析,证明使用菲涅耳棱镜代替传统地面棱镜时,不均匀相对放大率的数量没有显着减少。此外,这种像差的最大减少似乎只有通过在陡峭的基曲线上进行这种修正才能实现。相对放大率更多的是基底-顶点子午线的方向和从扩展物体入射光的角度的函数,而不是棱镜类型或厚度的影响。
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