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## Homework Statement

A uniaxial crystal of indices n

_{0}and n

_{e}is cut so that the optic axis is

perpendicular to the surface. Show that for light from the outside at

an angle of incidence θ

_{i}, the angle of refraction of the e-ray is

## Homework Equations

## The Attempt at a Solution

I solved for n

_{e}by dividing both sides of the third equation by what appears to be an ellipse equation and taking the square root of both sides, then plugging it in into Snell's law (the second equation). It's become ugly and confusing, though. Help is appreciated.