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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 \(\theta=60^{\circ}\). Find the angle \(\Delta \alpha\) between the components of the ray after its passage through the prism if their respective indices of refraction are equal to 1.515 and \(1.520 .\) 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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