While both an Astigmatic
telescope and a telescope that is not properly collimated will produce
elliptical Airy disks, the cause for elliptical Airy disks can be determined
by the test. The uncollimated telescope's ellipses remain the same on both
sides of the best focus. The Astigmatic telescope's Airy disks will shift
their major axis of symmetry by 90° on either side of the best focus.
Note that the Airy disks formed when the star
is slightly out-of-focus are dramatically larger than the Airy disk formed when
the star is in focus. We owe our knowledge of the properties of these disks
to one of Britain's Royal Astronomers, Sir George Airy, who first studied them,
and for whom they are named.