Quote (russian @ Apr 10 2014 11:59am)
Actually, scratch all that. How about this:
http://upload.wikimedia.org/wikipedia/commons/thumb/8/89/Fresnel1.svg/300px-Fresnel1.svg.png
We have the incident I, reflected R and transmitted T. Let's ignore T for now and focus on R. If we shine the exact same ray back along the R vector, wouldn't we get a new ray T2, which would be the transmitted component of reversed R and would be at the same theta T angle to the normal (going towards the upper-right corner of the picture)?
BTW, I'm glad we finally got an interesting topic in here!
Ok here is what I see: The input to your black box is I, the output is R (from your picture). If we then do it the opposite way, input light along R, we get light out at I. But if you use say I as the input and T as the output, to go the opposite way we'll have to feed light in on the T path, and again we'll get light at I.
I'm kind of cheating here because I realized a while ago that what you are trying to construct is a Maxwell demon. The challenging part is to find the problem with each suggestion.