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My big problem here is with the geometry....

I just took a picture of the problem. It's 15-10.

http://img839.imageshack.us/img839/9712/optics.jpg [Broken]

[tex]n_1sin\theta_1=n_2sin\theta_2[/tex]

[tex]n_{\bot}=1.6584[/tex]

[tex]n_{Parallel}=1.4864[/tex] (I can't find the Parallel sign)

So the prism is a birefringent material. The beam of light which oscillates in and out of the page is perpendicular to the optical axis and is going into a medium in which it will be parallel, so to find the angle of refraction..

[tex]1.6584sin(45°)=1.4864sin\theta_{r1}

This gives an angle of refraction of 52.1°. Doing the opposite with the other beam of light gives an angle of 39.33°.

So for the first part, their angle of deviation is about 13°. The problem is, I cannot determine the angles in which the beams hit the other wall of the prism. Every time I think I get it, the bottom angle has an angle greater than its critical angle so total internal reflection would happen. This isn't the case from the picture so I must be doing something wrong. How would I get the angles in which the light hits the walls?

Thanks!

**1. Homework Statement**I just took a picture of the problem. It's 15-10.

http://img839.imageshack.us/img839/9712/optics.jpg [Broken]

**2. Homework Equations**[tex]n_1sin\theta_1=n_2sin\theta_2[/tex]

[tex]n_{\bot}=1.6584[/tex]

[tex]n_{Parallel}=1.4864[/tex] (I can't find the Parallel sign)

**3. The Attempt at a Solution**So the prism is a birefringent material. The beam of light which oscillates in and out of the page is perpendicular to the optical axis and is going into a medium in which it will be parallel, so to find the angle of refraction..

[tex]1.6584sin(45°)=1.4864sin\theta_{r1}

This gives an angle of refraction of 52.1°. Doing the opposite with the other beam of light gives an angle of 39.33°.

So for the first part, their angle of deviation is about 13°. The problem is, I cannot determine the angles in which the beams hit the other wall of the prism. Every time I think I get it, the bottom angle has an angle greater than its critical angle so total internal reflection would happen. This isn't the case from the picture so I must be doing something wrong. How would I get the angles in which the light hits the walls?

Thanks!

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