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Prism Tilting Math



k -- vector path of laser light
n -- vector normal to surface of prism
a -- arbitrary vector point on the plane of the prism
b -- critical point that the k vector traverses; is the origin to start, then uses different coordinates each time the k vector traverses a new medium (air vs. prism)

[a - (b + alpha*k)].n = 0
where n is the unit vector for the normal.

Solve for alpha and plug into (b + alpha*k) which gives the new value for b.

Repeat this process over the entire path of k.

Prism Tilting -- See snell's law4.nb