Irradiance of light after polarizer

Malus’s law states that the irradiance of linearly polarized light that passes through a polarizer is proportional to its initial intensity, transparency coefficient of the polarizer and square cosine of the angle phi between the light’s initial polarization direction and the axis of the polarizer.

Links:

  1. Wikipedia.

irradiance_after

Light irradiance after passing through the polarizer.

Symbol:

E_e

Latex:

\(E_\text{e}\)

Dimension:

power/area

irradiance_before

Light irradiance befor passing through the polarizer.

Symbol:

E_e0

Latex:

\(E_{\text{e}0}\)

Dimension:

power/area

transparency_coefficient

transparency_coefficient of the polarizer.

Symbol:

k

Latex:

\(k\)

Dimension:

dimensionless

polarization_angle

Polarization angle.

Symbol:

phi

Latex:

\(\varphi\)

Dimension:

angle

law

E_e = E_e0 * k * cos(phi)^2

Latex:
\[E_\text{e} = E_{\text{e}0} k \cos^{2}{\left(\varphi \right)}\]