Explain rayleigh criterion for resolution?

Question: Explain rayleigh criterion for resolution?

The Rayleigh criterion is the minimum separation of two point sources or structures in an optical system that allows the structures to be distinguished from one another. It states that the minimum resolvable distance between two points is equal to the radius of Airy disc of the point spread function, or the ability of the system to form a clear distinction between two points. In other words, the Rayleigh criterion allows us to quantify how close two points can be while still remaining distinguishable. Specifically, the Rayleigh criterion says that two points can be seen as distinct if the peak of one Airy disc is separated by at least the width of the next point's Airy disc. The Rayleigh criterion is an important consideration in fields of optics, imaging systems, and astronomy, where image resolution is an important factor.

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