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Photometry and Geometrical Optics

Problem 5.24

A light ray composed of two monochromatic components passes through a trihedral prism with refracting angle θ=60∘\theta=60^{\circ}. Find the angle Δα\Delta \alpha between the components of the ray after its passage through the prism if their respective indices of refraction are equal to 1.515 and 1.520.1.520 . The prism is oriented to provide the least deflection angle.

Reveal Answer
Δα=2sin⁡(Θ/2)1−n2sin⁡2(Θ/2)Δn=0.44∘\Delta \alpha=\frac{2 \sin (\Theta / 2)}{\sqrt{1-n^{2} \sin ^{2}(\Theta / 2)}} \Delta n=0.44^{\circ}
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