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nikolafmf
#1
Feb10-13, 07:22 PM
P: 94
In textbook on optics by Pedrotti (and I think Fowles does the same) on page 493 it is said that:

kr=krr=ktr

from which follows

(k-kr)r=(k-kt)r=(kr-kt)r=0,

where k, kr and kt are wave vectors of incident, reflected and transmitted wave.

Than Pedrotti concludes that kr and kt must lie in a plane determined by k and r. Must they?

Take, for example this:

k=(-1,0,1), r=(1,0,0), kr=(-1,5,3), kt=(-1,2,1).

If we put this vectors in the equation above, we will get 0, but kr and kt don't lie in the plane determined by k and r, which is y=0 plane.

So I conclude that Pedrotti is wrong. Am I right or wrong to conclude that? If wrong, why?
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