Polarization of light
As we've seen in the previous section an EM wave consists
of oscillating electric and magnetic fields.
In an EM wave these fields
oscillate in a plane (plane of polarization)
which is perpendicular to the plane in which
the wave propagates (plane of propagation).

Electromagnetic wave propagating in space.
The blue curve is meant to represent the
oscillations of the Electric field while the yellow
curve represents the Magnectic field. Polarization and propagation
planes are indicated
An EM wave is said to be polarized
if the oscillating Electric field
"draws" a constant path on the plane of polarization
while the wave is traveling.
The particular shape of this path identify the type
polarization status. We can distinguish three
major types
1) Elliptical polarization
2) Circular polarization
3) Linear Polarization
In the first case the figure that the Electric field
"draws" in the plane of vibration is an ellipse.
Circular polarization is just a particular case of elliptical
polarization in which the major and the minor axes are equal.
In the last case the electric field oscillates along a single
line in the plane of polarization.


Linear and Circular polarization are
represented in the above animated images. In the first
case the electric field just propagates keeping a fixed
direction and drawing a line on the Polarization plane.
In the second case the wave also spins
around itself drawing a circle on its polarization plane.
Natural light is unpolarized. Sources of EM waves
like the sun or the common lamps give off light
based on atomic excitation processes each one of them
independent from the others. Because of this randomness,
the resultant EM waves, which are going to be composed by the
overlap of many of such elementary processes, will have
a randomly oriented plane of vibration.
Nevertheless it is always possible to get polarized light
from unpolarized natural light.
Certain materials have the ability to filter out
the unwanted oscillating directions of the electric field
in an EM wave. Such a materials are called Polarizers.
The effect of a polarizer is garantee from its particular
microscopic structure.
Roughly speaking it is possible to imagine a polarizer as
a material in which long chains of molecules
have been aligned parallel to some particular
direction using some manufacturing process.
Such a material will absorb all the electric field components
oscillating parallel to that direction and will
transmit only the one which are perpendicular to it
(axis of transmission of the polarizer).

Unpolarized light coming from the right hand side
passes through a polarizer. Only the components of the field
which oscillate along the polarizer transmission axis
(the black line on the polarizer in the picture) will
pass through it. Light coming out will be linearly polarized
along that specific direction.
Let's suppose that we send a beam of unpolarized light
through a pair of crossed polarizers
(the transmission axis of the first polarizers
is perpendicular to the transmission axis of the second).
Light coming out from the first polarizer will be linearly
polarized in a given direction. The beam then meets
the second polarizer whose polarization axis is perpendicular
to the one of the beam. The EM wave will be completely absorbed
by the second polarizer and no light will make it through it.
If the two polarizers were aligned in the same direction
then all light coming out from the first polarizer
would have passed the second polarizer untouched.

Unpolarized light coming from the right hand side
gets stopped when passing through a pair
of crossed polarizers.