Very cool! That is really going out there. In your last two diagrams, the last diagram using the parabolic mirror- I wonder if putting the light source opposite of the large reflector might be easier and achieve similar results but be easier to focus. I am really enjoying watching your work. Please keep it up!
BTW, there is some information on a post here that might give you some more information that might be helpful. It’s different from what you are doing but the discussion and geometry are very related.