What is the relationship between the Faraday Effect and polarization in light?

[JasonGodbout]

Homework Statement

I ave a research to do on Faraday effect.
I found an explanation were they said that a linearly-polarized beam of light may be considered as the superposition of equal amounts of right- and left-circularly polarized beams. The right- and left-circularly polarized beams or pi/2 and -pi/2 right?
If I'm right they are at 180 degree of each other and it give 0 as along the axes not a linear polarized wave.

I used Matlab:
t = 0:pi/50:4*pi;
X1 = cos(t-pi/2)
Y1 = sin(t-pi/2)
X2 = cos(t+pi/2)
Y2 = sin(t+pi/2)
X3 = X1+X2
Y3 = Y1+Y2
plot3(t,X1,Y1,t,X2,Y2,t,X3,Y3)
grid on
axis square

Homework Equations

Is it the explanation or my interpretation and if its me what is the correct way?

 

[astrosona]

It looks fine to me! ;)

 

[JasonGodbout]

I solve the problem with my teacher and its working.

Thanks