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Photoreceptor diameter and spacing for highest resolving power

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TLDR
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.
Abstract
The maximum center-to-center angular spacing Δϕ of photoreceptors tolerated for reconstructing the highest spatial frequency passed by a diffraction-limited pupil of diameter D is Δϕ = λ/D √3 when the photoreceptors are packed in a hexagonal array, where λ 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.

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Citations
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Human photoreceptor topography

TL;DR: The total number of foveal cones is similar for eyes with widely varying peak cone density, consistent with the idea that the variability reflects differences in the lateral migration of photoreceptors during development.
Journal Article

Aging of the human photoreceptor mosaic: evidence for selective vulnerability of rods in central retina.

TL;DR: The stability of both rod coverage and rhodopsin content despite decreasing cell number suggests plasticity of the adult rod system and that age-related declines in scotopic sensitivity may be due to postreceptoral factors.
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Amplification and kinetics of the activation steps in phototransduction

TL;DR: The investigation of amplification in the activation steps of vertebrate phototransduction shows that kcat/Km probably exceeds 10(7) M-1 s-1 (and is likely to be higher) in both amphibian and mammalian rods, and two different analyses based upon photocurrents were developed which provide lower bounds for kcat /Km in vivo.
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The ganglion cell and cone distributions in the monkey's retina: Implications for central magnification factors

TL;DR: The distribution of cones and ganglion cells was determined in whole-mounted monkey retinae, revealing that the relative representation of the fovea increases substantially in both thalamus and cortex.
References
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Handbook of Sensory Physiology

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Communication in the presence of noise

TL;DR: A method is developed for representing any communication system geometrically and a number of results in communication theory are deduced concerning expansion and compression of bandwidth and the threshold effect.
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Optical quality of the human eye.

TL;DR: Optical quality of the eye was measured at eight pupil sizes between 1·5 and 6·6 mm diameter by recording the faint light emerging from the eye; this light was reflected from the bright image of a thin line on the fundus.
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XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory

TL;DR: In this article, the authors consider a function of a variable x such that its Taylor expansion in any part of the plane of the complex variable x can be derived from its Taylor's expansion in another part by the process of analytic continuation.