All Problems

Polarization of Light

Problem 5.172

A narrow beam of natural light falls on a set of NN thick plane-parallel glass plates at the Brewster angle. Find: (a) the degree PP of polarization of the transmitted beam; (b) what PP is equal to when N=1,2,5,N=1,2,5, and 10.10 .

Reveal Answer
5.172. (a) P=(1α4N)/(1+α4N),P=\left(1-\alpha^{4 N}\right) /\left(1+\alpha^{4 N}\right), where α=2n/(1+n2),\alpha=2 n /\left(1+n^{2}\right), nn is the refractive index of glass; (b) 0.16,0.31,0.67,0.16,0.31,0.67, and 0.92 respectively.