Problems on Polarization
Problem 3.1:
A polaroid sheet and an analyzer are placed such that their transmission axes are co-linear. The
analyzer is then rotated by 22.5
o. What is the irradiance of the transmitted light as a fraction
of its previous value?
[Solution]
Problem 3.2:
You have three ideal linear polarizers. Light of irradiance 1000 W/m
2 is shone through two of the
polarizers, with their transmission axes placed at a relative angle of 40
o. What is the intensity
of the transmitted light? Now place the third polarizer at an angle of 20
o between the other two.
What is the irradiance?
[Solution]
Problem 3.3:
What is Brewster's angle for reflection from air off a glass (
n = 1.52) surface?
[Solution]
Problem 3.4:
Consider the following waves:
| Ex |
|
= Excos(kz - ωt) |
|
| Ey |
|
= Eysin(kz - ωt + 2π) |
|
If these waves overlap at a particular point, what is the polarization of the resulting wave (assume
Ex = Ey)?
[Solution]
Problem 3.5:
Write the equation for the linearly polarized light wave of angular frequency
ω and amplitude
E0 propagating along the x-axis with its plane of vibration at
30o to the
xy-plane (assume
that
E = 0 when
x = 0 and
t = 0).
[Solution]
