Snyder A W, Miller W H
J Opt Soc Am. 1977 May;67(5):696-8. doi: 10.1364/josa.67.000696.
The maximum center-to-center angular spacing delta phi of photoreceptors tolerated for reconstructing the highest spatial frequency passed by a diffraction-limited pupil of diameter D is delta phi - lambda/D square root 3 when the photoreceptors are packed in a hexagonal array, where lambda is the wavelength in vacuum. This spacing gives the maximum signal-to-photon noise ratio when the inner segments touch. The mean luminance required for an eye to achieve its highest resolving power is independent of eye size, provided the retina is designed to sample the highest spatial frequency passed by the diffraction-limited optics.
对于由直径为D的衍射极限瞳孔所通过的最高空间频率进行重构时,当光感受器排列成六边形阵列时,可容忍的光感受器中心到中心的最大角间距δφ为δφ = λ / (D√3),其中λ是真空中的波长。当内节相接触时,这种间距给出了最大的信号与光子噪声比。如果视网膜被设计用于对衍射极限光学系统所通过的最高空间频率进行采样,那么眼睛实现其最高分辨能力所需的平均亮度与眼睛大小无关。