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As consequence of such kind of interactions a photon that interacts with the target is completely removed from the incident beam, in other words a beam of photons that cross a medium is not degraded in energy but only attenuated in intensity.
Any photon that interacts with the target is removed from the beam, so the continuing beam is not influenced by any energy exchange involving the removed photon.
Therefore, the photons in the continuing beam retain their original energy, but there are less of them.
You're thinking of the idea in where there only are transformations, but no 'loss' in a universe Jeffrey? If they are 'excitations in a field' then the number should vary with what interactions presents itself under a arrow of time I think.
Just to muddy the waters a bit... if there are an infinite number of photons in the universe, then this would have to be unchanged by such limited transactions as absorption and emission.
Does the circumference of a circle with infinite radius equal a straight line? If so no part of the circumference would tell you that it forms a circle. Similarly no one photon would tell you it is part of an infinite set.
Depends on the nature of the interaction. At low photon energies the photon generally disappears into heat, a chemical change, or the movement of charge in an electrical circuit, but at energies above the visible spectrum you can get all sorts of secondary emission including photonuclear reactions.
We use all kinds of filters to remove photons of specific energies from a beam to produce a more monoenergetic (monochromatic) beam of lower intensity.
Yes, those concepts are in some ways exceptionally mindnumbing. Symmetries and conservation laws. Remember when JP first explained to me how he looked at a 'photon recoil' as a 'demand' from conservation laws.
Hmm maybe? It's here on TNS, and I miss that guy.