Three polarizing disks whose planes are parallel are centered on a common axis.

Question

Three polarizing disks whose planes are parallel are centered on a common axis. The direction of the transmission axis in each case is shown in Figure P38.42 relative to the common vertical direction. A plane-polarized beam of light with ED parallel to the vertical reference direction is incident from the left on the first disk with intensity = 12.0 units (arbitrary). Figure P38.42 Calculate the transmitted intensity If for the following cases. (a) ?? = 17.00, ?2-39.0°, and e-60.0° units (b) 01-0. 02-30.0°, and 03-60.0? units

Explanation / Answer

Part A)

Given

Ii = 12 units,

angle A1 = 17.0°, A2 = 39.0°, A3 = 60.0°.

after 1st plate, intensity = Ii* [cos(A1)]^2

after 2nd plate, intensity = Ii * [cos(A1)]^2 * [cos(A2 - A1)]^2

after 3rd plate, intensity lf = Ii * [cos(A1)]^2 * [cos(A2 - A1)]^2 * [cos(A3 - A2)]^2

= 8.22 units

Part B)

Ii = 12.0 units, angle A1 = 0°, A2 = 30.0°, A3 = 60.0°
after 1st plate, intensity = Ii* [cos(A1)]^2
after 2nd plate, intensity = Ii * [cos(A1)]^2 * [cos(A2 - A1)]^2
after 3rd plate, intensity lf = Ii * [cos(A1)]^2 * [cos(A2 - A1)]^2 * [cos(A3 - A2)]^2
= 6.75 units

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