
That image actually makes sense, perhaps. The diffraction of light around the edge of a disk results in what is known as a “Poisson spot” – a bright spot forms in the centre of the shadow made by a disk. Naming it after Poisson is wrong, because Poisson derived it as a trivial consequence of Fresnel’s Equations as an unsuccessful attempt to discredit Fresnel. When the spot was actually found it confirmed Fresnel and disproved Poisson. Calling it the Arago spot makes more sense.
The images show diffraction from a series of concentric ring slits. The focussing ability of this could be calculated from Fresnel’s equations.
A DIY science experiment to test this telescope using a laser pointer and round-headed pin is http://physicsed.buffalostate.edu/pubs/StudentIndepStudy/EURP09/Spot/spot.html
To use this to test the focal length and focussing ability of the space telescope replace the pinhead with a black disk surrounded by black concentric circles printed on a transparent film (i.e. a mask). Try out several different combinations of dimensions of radii for the concentric circles.
To work out the best mathematical spacing of concentric circles for the mask, and assuming that you don’t want to solve the full Fresnel equations, use Huygens principle of treating each unmasked ring of light from the mask as a light source.
What you want is the exact opposite of what is known in astronomy as an “Apodizing”. Apodizing is the process of setting up a mask to minimise the effects of diffraction.