All Problems

Polarization of Light

Problem 5.190

Plane-polarized light of wavelength 0.59 \mum falls on a trihedral quartz prism PP (Fig. 5.34 ) with refracting angle Θ=\Theta= =30=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 Δx\Delta x =15.0 mm=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}