Optics Problems - Numerical 30

30.

The critical angle of incidence of water for total internal reflection is 48⁰ for a certain wavelength. What is the polarizing angle and the angle of refraction for light on water at this angle?

Suggested solution:

Let m be the refractive index of water with respect to air and i_o the critical angle. Then,

Let i_p be the polarizing angle of incidence. From Brewster's law,

tan i_p = = 1.345

or

i_p = tan^-1 (1.345) = 53⁰22'

At polarizing angle of incidence, if r is the angle of refraction,