Suppose an average of 300 photons are detected per image from a QD with an emission wavelength of 655 nm. Further suppose that in a second experiment another QD is imaged which has an emission...

Suppose an average of 300 photons are detected per image from a QD with an emission wavelength of 655 nm. Further suppose that in a second experiment another QD is imaged which has an emission wavelength of 525 nm. Assuming that the same objective is used in the two experiments, on average how many photons need to be detected per image in the second experiment in order to obtain the same lower bound δx₀
on the standard deviation for estimating the QD’s x₀
coordinate? Assume that both experiments are carried out under the fundamental data scenario in which the detector has an infinitely large photon detection area. Assume also that the point spread function is given by the Airy image function.