All Problems

Dispersion and Absorption of Light

Problem 5.212

A beam of natural light of intensity I0I_{0} falls on a system of two crossed Nicol prisms between which a tube filled with certain solution is placed in a longitudinal magnetic field of strength HH. The length of the tube is l,l, the coefficient of linear absorption of solution is x,x, and the Verdet constant is V.V . Find the intensity of light transmitted through that system.

Reveal Answer
I=1/2I0exlsin2φ, where φ=VlHI=1 / 2 I_{0} \mathrm{e}^{-x l} \sin ^{2} \varphi, \text { where } \varphi=V l H_{\bullet}