I don't understand is why we haven't seen mirror lenses using the kind of offset mirrors you see in binoculars…
You mean taking a mirror lens, stopping it down with an off-axis circular aperture between the edge of the primary and the edge of the secondary, and then “throwing away” all of the optics that are not illuminated?
Don't want to speak for Hank, but I think he meant using prisms, like binoculars do. With porro prisms, you could even have a straight-looking lens, rather than the lumpy look that roof prism binoculars have.
Prisms are just mirrors. So it would be a refractor with a folded light path, and you wouldn't get "free" low CA like you do with true focused-mirror lenses.
Thank you both for these questions!
I don’t think standard porro prisms would do much to shorten a long focal-length refractor.
However, let’s see what we can do:
First, let’s consider a simple 300 mm doublet (so no aperture control or higher-order correction) and fold the 300 mm into 3 x 100 mm by using prisms/mirrors or whatever. The two folding surfaces would be separated by about 100 mm, so would have to be two separate elements for cost and weight reasons. And, roughly, we would need to 45+ mm diameter prisms/mirrors with good optical quality; they won’t be cheap. That said, for a simple doublet there are no alignment issues, so this would work, but it comes at the cost of the two folding elements.
Second, let’s improve this by adding a field-flatter, an element close to the detector that acts to correct the field curvature of the doublet. The alignment tolerances on a field flattener are typically very generous, so there is no issue here. Again, this would work, but at the cost of the two folding elements.
Third, let’s suppose we want to correct higher-order aberrations and form an image of the pupil, so we have somewhere to place the pupil stop. This requires more optics, probably after the second mirror. And now we have to maintain good alignment between the fore optics and the pupil/corrective optics. And maintaining good alignment of two prisms/mirrors that are 100 mm apart is not trivial. Can it be done? Certainly. Does it have a cost in terms of engineering complexity? Certainly.
So, in summary:
- One can fold a simple doublet or a field-flattened doublet for the cost of two mirrors/prisms. However, simple doublets are the cheapest telephotos, so probably the additional cost of the folding elements makes this unattractive.
- For more complex designs, in addition one needs to design optomechanics to maintain alignment of the elements in the different sections of the folded path,. I strongly suspect that this additional complication makes such designs uncompetitive with conventional telephoto designs.
Let me give you an example from my field. When my engineers can place optics in a cylindrical barrel, they can achieve 10-15 micron alignment between the elements. When they cannot, they typically achieve 50-100 micron alignment. And our optomechanics are hand-built, we do metrology and iterate the pieces bases on that metrology, and they are then coddled and (hopefully!) not subjected to the rough treatment served to photographic lenses.
Regards,
Alan