All Problems

Polarization of Light

Problem 5.190

Plane-polarized light of wavelength 0.59 \mum falls on a trihedral quartz prism \(P\) (Fig. 5.34 ) with refracting angle \(\Theta=\) \(=30^{\circ}\). Inside the prism light propagates along the optical axis whose direction is shown by hatching. Behind the Polaroid Pol an interference pattern of bright and dark fringes of width \(\Delta x\) \(=15.0 \mathrm{~mm}\) is observed. Find the specific rotation constant of quartz and the distribution of intensity of light behind the Polaroid.

Reveal Answer
α=π/ΔxtanΘ=21 ang. deg./mm,I(x)cos2(πx/Δx)where x is the distance from the maximum\alpha=\pi / \Delta x \tan \Theta=21 \text { ang. } \operatorname{deg} . / \mathrm{mm}, I(x) \sim \cos ^{2}(\pi x / \Delta x) \text {where x is the distance from the maximum}