Fundamental data model example. (a) The photon distribution profile
fθ for an in-focus and stationary
molecule whose image is modeled with the Airy pattern. This profile assumes that
the molecule is located at (x0,
y0) = (0 nm, 0 nm) in the object space,
and that photons of wavelength λ = 520 nm are
collected using an objective lens with a numerical aperture of
na = 1.4 and a magnification of
M = 100. While the profile is defined over the
detector plane ℝ2, the plot shows its values over the 150
μm × 150 μm region
over which it is centered. (b) A fundamental image simulated according to the
profile in (a), with each dot representing the location at which a photon is
detected. The simulation assumes a constant photon detection rate of
Λ0 = 10000 photons/s and an acquisition time of
t − t0 = 0.05
s, such that the mean photon count in an image is Λ0
· (t − t0)
= 500. In this particular realization, N0
= 516 photons are detected, of which 492 fall within the 150
μm × 150 μm region
shown, over which the image is centered.