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Three problems
- aperture is too small,
- the focal ratio far too slow,
- the first stage detector must be cryogenically cooled .
By way of example there's a small parabolic dish outside the Australia Telescope maybe 1 metre across, with a focal ratio of f/0.5 with an antenna feed hooked up to an amp. Swishing it across the sky you get an audible hish from the sun and I suspect at night it might just detect Jupiter. Not a whle lot else.
BTW to do much good the mirror aperture must be many times the wavelength of the radiation. This is why serious radioastronomy dishes are huuuge.
So don't bother with a scope mirror... it won't work.
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