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691.


Problem 48.5 (RHK)


Three polarizing sheets are stacked. The first and third are crossed; the one between has its axis at to the axes of the other two. We have to find the fraction of intensity of an unpolarized beam that will be transmitted by the stack.


Solution:           Click For PDF Version

When the incident unpolarized beam passes through the first polarizing sheet its intensity will be halved. Therefore, after the unpolarized beam of intensity has passed through the first polarizing sheet, the intensity of the beam will become

As the second polarizing sheet has its axis at to the axis of the first polarizing sheet, by the law of Malus, we find that intensity of the beam after it has passed through the second sheet will change to

As the axis of the third polarizing sheet is at to the axis of the second polarizing sheet, the intensity of the beam after it has passed through the third sheet will change to