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Any imaging device such as a microscope or telescope has a resolution limit, a minimum separation it can resolve between two objects or sources; this limit is typically defined by "Rayleigh's criterion", although in recent years there have been a number of high-profile techniques demonstrating that Rayleigh's limit can be surpassed under particular sets of conditions.
Quantum detection and estimation theory
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XXXI. Investigations in optics, with special reference to the spectroscope
Lord Rayleigh
Cited in the paper.
For circular apertures, the point spread functions are Airy rings. In practice, these are often well-approximated by Gaussians. Within this approximation, two overlapped point-sources map simply to a single Gaussian
Cited in the paper.
Supplementary material and extended data are available online
Cited in the paper.
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