Three polarizers, centered on a common axis and with their planes parallel to ea

Question

Three polarizers, centered on a common axis and with their planes parallel to each other, have transmission axes oriented at angles of ?1, ?2, and ?3 from the vertical, as shown in the figure below. Light of intensity Ii, polarized with its plane of polarization oriented vertically, is incident from the left onto the first polarizer.

Three polarizers, centered on a common axis and with their planes parallel to each other, have transmission axes oriented at angles of ?1, ?2, and ?3 from the vertical, as shown in the figure below. Light of intensity Ii, polarized with its plane of polarization oriented vertically, is incident from the left onto the first polarizer. What is the ratio If / Ii of the final transmitted intensity to the incident intensity for the following configurations? 1 = 45degree, ?2 = 90degree, and ?3 = 0degree ?1 = 0degree, ?2 = 45degree, and ?3 = 90degree

Explanation / Answer

(a) ratio = cos^2 (45) * cos^2 (45) * cos^2 (90)

= 0

(b) ratio = cos^2 (0) * cos^2 (45) * cos^2 (45)

= 1/4

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