What is the lower bound for converting a classical Cassegrain to a faster f-ratio?

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What is the lowest practical f-ratio for a classical Cassegrain telescope (think conversion project)?
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Doug Summers avatar
A question for the optical experts while monsoon season keeps us from imaging.....  Calling John Hayes....  ;-)

I'm trying to understand the effective lower bound on optical "power" in the secondary of a classical Cassegrain telescope (parabolic primary, hyperbolic secondary).   It seems there might be a crossover at some decreasing f-ratio where aberrations (field curvature, coma) are too much to address by a corrector/flattener.   Or maybe the issue isn't corrector/flattener performance but rather secondary size and separation spacing that affects light path obscuration?

I realize a "classic" Cassegrain configuration intentionally employs high optical power via the convex secondary for magnification (excellent for planets & very small targets).   This question is for non-traditional classical Cass conversion to a fast/wide system.   There are a lot of older but very high quality classical Cassegrain telescopes with good primaries out there.  Other than prime focus conversion using a Wynne corrector (not ideal for filter wheels due to obscuration), we don't seem to hear of Cassegrain focus reconfigs to f/ratios below f/7.   I'm trying to understand why that is.  If anyone can help shed some light on the subject, I'd be interested to hear the comments.

Thanks,  Doug S.
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John Hayes avatar
Doug,
The lower bound on the F/#  for a Cassegrain type system occurs when the size of the secondary equals the size of the primary.  When you tackle this kind of project there a few basic things to remember.  First, everything gets harder as the focal ratio gets smaller.  Aspheric surface shapes become steeper and more difficult to make.  Second, the field correction of a classical Cassegrain is not all that good.  Achieving and F/4 or F/5 speed at the output will indeed provide a wider field but you'll also have a lot more coma and more field curvature than an equivalent Newtonian.  As the optics get faster, it becomes necessary to introduce refractive elements to control the field and to minimize the obscuration ratio.  The other soft underbelly of these fast two-mirror systems is the difficulty of achieving and maintaining the alignment tolerances required to get good field performance.  You can certainly design some field optics to flatten and correct the field but if you are going to do that, it's easier (and more realistic) to start with with an RC or CDK configuration.  The biggest advantage of a Cassegrain type system is that they are compact; but in my opinion, once you get faster than around F/6, the difficulty of achieving good optical performance becomes very challenging.  It's not impossible to go faster but the manufacturing and alignment requirements become VERY challenging.

Another big reason that few Cassegrain type systems aren't much faster than about F/6 is the size of the secondary.  At F/6 (or even F/7) the size of the baffles needed for a large sensor, produce a system with an obscuration ratio between 40% and 50%.  I did a quick F/2 - F/3 first order layout for a classical Cassegrain to illustrate the problem.  Without baffles, the obscuration is 58%.  If you add baffles, the obscuration will almost certainly be well over 60%.




In my view, the primary reason for using a faster system shouldn't be about signal strength; it's mostly about field size -- and 2-mirror Cassegrain type systems are not well suited to that task.  I believe that the modern replacement for the Schmidt camera is either a Hyperstar or a RASA system.  The next best way to achieve a fast, well corrected wide-field  telescope might be a fast Newtonian with a coma corrector such as a Tak 160/180.  After that, refractors do pretty well.  Remember that with a properly matched sensor, the only thing that you get with a larger aperture is fainter stars.  Under sampling a fast system certainly gathers signal faster and that's a valid approach with a wide field system, but you lose a lot of that advantage when you reduce the optical throughput with a huge secondary.

John
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Doug Summers avatar
Hi John,

Thanks for responding!   Seeing the diagram is worth a thousand words   I really appreciate you taking the time for that.   The project is for an existing classical Cassegrain 31.5" f/3.1 primary (the current secondary brings output to f/13.6).   An important factor I neglected is the hole in the primary mirror.   It's 6.3 inches diameter, so that forms an illumination vignetting boundary on the way to focus.

The telescope belongs to an organization closely associated with your alma mater.    At the risk of asking too much, is there any chance you might be willing to alter the above diagram for an f/3.1 primary to show an f/7 and (separately) an f4 output?    If so, send me a PM (dmsummers@arizona.edu) and I'll try and find a way to properly thank you on behalf of the organization.    The telescope was a considerable gift with outreach potential, so retaining the telescope while converting it to a more useful form would be the desired goal.   FWIW, I've worked up a viable f/3 prime focus conversion already, but I'm not completely comfortable with the trades at traditional Cass focus.

Regardless of whether you provide altered diagrams, the one you've already shown (in addition to the writeup) is very helpful to understand the variables in play.   Thanks again for that, and best wishes,

Doug S.
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Doug Summers avatar
Hey John,  I found a couple online Cass design calculators that produce metrics for the secondary size, distances, and final aberrations.   I was able to use those to see the points you made clearly.   If you haven't already read & acted on my 2nd request above, it's unnecessary.   If you have, I'll use to backup/confirm the calculator info I entered.   In any case, thanks for the original feedback.   Doug
John Hayes avatar
Doug,
Glad that was useful.  Good luck with your project!  It sounds very interesting.  Is the scope in Tucson?    If so, I’d be interested in seeing it the next time I’m down there in the Fall.

John
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Doug Summers avatar
Hi John,   The scope was acquired by TAAA, disassembled in Longmont CO, and is currently stored.   It's headed for the Chiricahua Astronomy Complex in AZ early next year.   Once reassembled, it will be checked out at its original f/13.6 config to be sure the move didn't damage anything.   Afterward, it will be assessed for better use potential at another optical speed.  The CAC is 40 miles southeast of Wilcox AZ in a nice Bortle 1-2 sky.  

Hopefully by late 2024, it might be worth a visit.       For grins, here's an image of it up in CO before disassembly.  CS   Doug

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John Hayes avatar
Doug,
Thanks for the photo.  Now that I have a better understanding of what you are trying to do, my feeling is that your best bet might be to reconfigure that scope to operate somewhere in the range of F/6 to F/7.  I'd recommend designing a custom field corrector/flattener at the same time you redo the secondary.  I haven't looked at how the size of the central hole in the primary might affect things but that would need to be done as well.  Is it a monolithic primary mirror or some sort of egg-crate?  If it's monolithic, you could open up the size of the hole if necessary.  

Do you guys know Dick Buchroder in Tucson?  He would be the right guy to design some field optics for you.  He is retired but he's an AMT at heart and if you can get him interested in the project, he might be willing to help you out.  I can help you to contact him if you want to discuss it with him.

Did you guys get the mount with it?

John
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Doug Summers avatar
Hi John,   I don't personally know Dick, but others I'm working with might.    I'll recontact if it looks like we desire a consult but need an introduction.   

The primary is monolithic, and yes, the mount came with the telescope.    The telescope is a bit of a dinosaur at f/13.6, but it's a very good telescope and mount.  With some TLC, it could become something special for that site and group.     In any case, I've got what I need for the moment to explore the trade space(s).   Thanks for the consult.

CS   Doug