> > 1. In every description of Braggs' law I've seen, the in-coming waves
> > have to be in phase. Why is that? Given that the sources used for
> > diffraction studies are mostly non-coherent.
> 
> Think of Bragg's Law as explaining what happens to a single photon
> that is probabilistically scattered by every atom in the lattice.
> It's perfectly coherent with itself.
Why does the photon not diffract at all angles then, since one 'part' of
the photon will never have a different phase from another 'part'? If you
are correct that it is a single photon diffracting, it would suggest
that at some point the photon is in-coherent with itself thus the need
to have a diffraction condition for specific angles.

It would make more sense to me in such a case, if we interpreted Braggs'
law as the condition under which the photon keeps it's 'internal
coherence but instead we talk of constructive and destructive
interference! 

> This idea should be no stranger than textbook illustrations of the
> result of sending a single particle through a narrow slit or pinhole.
> The interference effects follow the expected predictions even for
> illumination by one particle at a time.

The mathematics works but doesn't necessarily mean the current
interpretation of the mathematics has any resemblance to what actually
happens in reality. 

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