For different choices of numerical aperture and wavelength, calculate δx 0 , the square root of the Cram´er-Rao lower bound on the variance with which the x 0 coordinate of an in-focus point source...

For different choices of numerical aperture and wavelength, calculate δx₀
, the square root of the Cram´er-Rao lower bound on the variance with which the x₀
coordinate of an in-focus point source can be estimated from an image acquired under the fundamental data scenario in which the detector has an infinitely large photon detection area. Assume that on average 100 photons are detected in an image, and that the image of the point source is given by the Airy image function.