I've been entrusted with a small short focal ratio newtonian to "repair" because it can't come into proper focus. On first inspection collimation seemed okay - just looking into the tube, I could see everything properly centered: my eye, the secondary reflected in the primary, the primary reflected in the secondary, the secondary seen directly in the focusing tube...
Taking it out for a star test, I did see a serious problem. I was observing Saturn and could not reach a proper focus. I could reach a partial focus, in that the planet was faintly and clearly visible, but then also surrounded by a large halo of unfocussed light. Taking the scope in and out of focus produced a weird set of patterns. Although weird, all these out of focus images were basically correctly symmetrical (radial symmetry), suggesting again, the collimation was good. Far out of focus, both inside and outside focus, the image was a traditional "donut" - i.e. an image of the primary mirror with the secondary shadow in the center. But nearer to focus, just inside and outside of focus things looked really weird. Also the inside focus image did not match the outside focus image.
Very close to focus, just inside of focus, the image reminded me of what a Maksutov produces: a bright ring, with a series of what looks like interference fringes/rings fading towards the center. Just outside of best focus the view was the opposite: a bright center, with rays and rings "radiating" and fading away from the center. I attach a sketch of what I'm seeing, along with some quite poor image captures that I got with my cell phone.
It seems like there must be something wrong with the primary mirror. Assuming the secondary is a flat, it shouldn't produce any optical effects at all. But what if this newtonian had a spherical primary (say, installed/manufactured by mistake)? What kind of optical figure would produce this kind of out of focus performance?
I have a fancy book, "Telescopes, Eyepieces, Astrographs," which is an amazingly detailed book about all sorts of optical designs, and the kinds of aberrations they produce. But unfortunately it doesn't seem to cover optical performance outside of the focal plane; so this optical behavior remains a mystery to me...