In the figure below (see image in color), light travels from material 'a', through three layers of other materials with surfaces parallel to one another, and then back in to another layer of material 'a'. The refractions (but not the associated reflections) at the surfaces are shown. Rank the materials according to their indices of refraction, greatest first.
Laws of Refraction:
1. If the ray is bent so that it sits between the normal and incident beam, N2>N1
2. If the ray is bent so that it sits outside the normal and incident beam, N1>N2
The Attempt at a Solution
See image in black & white. Using the relevant equations, I was able to set the following boundaries:
The problem is that I still don't have enough information to order the indices of refraction. For example, the following could be true:
Nd > Nb > Nc > Na
But I really don't have any evidence that supports Na > Nc or that Nd > Nb.
The correct answer is: Nd > Nb > Na > Nc
Am I supposed to estimate the angles and draw the rest of the boundaries from that?
Thanks in advance, MrMoose