Surlethe wrote:Drachefly, please correct me if I'm wrong, but here's what I get in my head from your post:
You're missing the mirror that would re-integrate the photon stream. Note that I have no clue how THAT optical element works.
Surlethe wrote:IF there is nothing in the box, on the other side, the reflected will reintegrate into the light wave -- but in doing so, it will slightly affect the wavelength of the light.
it will affect the phase of the light, not the wavelength.
Aside from that, yeah.
After a bit more thought, we have two eigenstates,
|+> and |->
where |-> has not gone through the box and |+> is the orthonormal eigenstate such that after going through the box, the state is
|b> = |->cos a + |+> sin a
with a small.
For photon interception, the probability is
(sin a)^2 ~= aa
but for looking at the phase shift, we have interference effects that vary as the cross-term,
(cos a) (sin a) ~= a
and these disappear much more slowly as you reduce a.
That, I think, is the crux.