How can refractive index be used to manipulate light in photonics?

[sergyegi]

The question can be found here: http://gyazo.com/fc4d26cd35e6ce368ad2a8ed504f1dcc
The refractive index it references can be found here: http://gyazo.com/94fd2f3b5ea7da9226c3acd56b0024c1

I'm not really sure where to get started on the "showing" part of the question. I anticipate that Snell's Law will be used somehow. Can somebody point me in the right direction?

 

[rude man]

This is really an exercise in analytic geometry, not physics.

If you don't have much luck in getting help in the eng. forum, you might go to one of the math forums.

 

[sergyegi]

Thanks, I'll try it out.