Problem 3  Due March 26

Consider the following

A monochromatic beam of light, with a wavelength of  400 nm, propagating in a vacuum, is incident at an angle of 30 degrees with a medium (water)  as shown below.

The Stokes parameters, in the linear polarization basis, is given by
s0 = 13, s1 = -5,  s2 = 0,  s3 = 12 (in SI units). 

(a) Find the total incident energy that passes through a square plane area, of side 5 cm, whose normal
vector is aligned with the propagation direction in 1 second.  (5 points)

(b) do the same for the refracted and reflected rays (10 points).

Extra credit

Write a Mathematica code that illustrates (i.e. make an animation) how the electric field vector, for the incident and refracted beams resepectively, evolve in time.