An un-polarised beam of light consists of EM waves of many different randomly or

Question

An un-polarised beam of light consists of EM waves of many different randomly oriented polarizations as per the figure below. It passes through the 1st polarizer shown below.

3.What fraction of the initial (randomly polarized) intensity passes through the 1st polarizer? (i.e., what is the transmission of polarizer 1 to the incoming un-polarised light).

The angle q between the 1st and 2nd polarizer is 23 degrees.

4.What fraction of the initial (randomly polarized) intensity passes through both the 1st and 2nd polarizers? (i.e., what is the transmission of the pair of polarizers to the incoming un-polarised light)

Explanation / Answer

3)

1/2 of the intensity comes out of initial polarizer( since initial light is unpolarised)

4 )

Total light passes from first polarizer

Fraction from second polarizer is cos^223 = 0.9206

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