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Hi Ben,
Yes, you will need one for a 50mm diag sensor.
The radius of curvature of a RC at the focal plane is approx 12% of the focal length.
Starizona gives an example of a 12.5" F9 RC across a 35mm diag full frame sensor.
It states the radius of curvature at the focal plane is 360mm, the required depth of focus to cover a 35mm diag sensor is 613 microns but the actual depth of focus is only 257 microns.
The link to Starizona does not work anymore so I have attached a saved Word document that I created a few years ago for you to read.
Cheers
Bill
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