In: Physics
Linearly polarized light whose Jones vector is ( 1 0 ) (horizontally polarized) is sent through a
train of two linear polarizers. The first is oriented with its transmission axis at 45 degrees and
the second has its transmission axis vertical. Show that the emerging light is linearly polarized
in the vertical direction. Discuss the intensity change through each polarizer
a) the vector Jones is

The first polarization is defined by the Jones matrix with an axis of transmission at 45 degrees



and the second polarization of the light is defined by the Jones matrix with an axis of transmission vertical



This shows that emerging light is linearly polarized in the vertical direction
b) If the initial intensity is 
the intensity after light passes through first polarizer is



and the intensity after light passes through second polarizer



hence, the change of intensity is



The change of intensity is negative because the intensity of the light decreases after passing the polarizers