A narrow beam of natural light falls on a set of \(N\) thick plane-parallel glass plates at the Brewster angle. Find:
(a) the degree \(P\) of polarization of the transmitted beam;
(b) what \(P\) is equal to when \(N=1,2,5,\) and \(10 .\)
5.172. (a) \(P=\left(1-\alpha^{4 N}\right) /\left(1+\alpha^{4 N}\right),\) where \(\alpha=2 n /\left(1+n^{2}\right),\) \(n\) is the refractive index of glass; (b) \(0.16,0.31,0.67,\) and 0.92 respectively.