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Minimum Deviation Angle 
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#1
Nov311, 07:31 PM

P: 92

1. The problem statement, all variables and given/known data
The apex angle of a prism is [itex]50.0^\circ[/itex] and the index of refraction of the prism material is [itex]1.66[/itex]. What is the minimum deviation angle? 2. Relevant equations Snell's Law: [itex]n_1\sin(\theta_1)=n_2\sin(\theta_2)[/itex] 3. The attempt at a solution How would you approach this? I get a deviation angle of [itex]50+\arcsin(1.66\sin(\theta))+\arcsin\left(\frac{ \sin(501.66 \sin(\theta))}{1.66}\right)[/itex] using Snell's Law and angle chasing but I don't know how to minimize that. [itex]\theta[/itex] is the initial angle of incidence. For some reason I think the solution should be much simpler than that. Can someone help me? 


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