Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 14.5 units (arbitrary). Calculate the transmitted intensity If when ?1 = 18.0°, ?2 = 46.0°, and ?3 = 66.0°. Hint: Make repeated use of Malus's law.
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 14.5 units (arbitrary). Calculate the transmitted intensity If when ?1 = 18.0°, ?2 = 46.0°, and ?3 = 66.0°. Hint: Make repeated use of Malus's law.
Related questions
Question
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 14.5 units (arbitrary). Calculate the transmitted intensity If when ?1 = 18.0°, ?2 = 46.0°, and ?3 = 66.0°. Hint: Make repeated use of Malus's law.
An arrow passes through three disks arranged in a row, with the faces of the disks perpendicular to the arrow. Before the arrow reaches the disks, it is labeled Ii. Each disk is labeled with an angle measured clockwise from the vertical. The first disk that the arrow passes through has angle ?1, the second disk has angle ?2, and the third disk has angle ?3. After the arrow exits the three disks, it is labeled If.
Step 1
When linearly polarized light of incident intensity I0 passes through an analyzer whose transmission axis is rotated at angle ? to the plane of polarization of the incident light, the emerging light is linearly polarized in a direction parallel to the transmission axis of the analyzer. The intensity of the emerging light is given by Malus's law.
The first analyzer in the figure has light of intensity Ii incident on it. This light is polarized in the vertical plane. The light emerging from the first analyzer has intensity given by Malus's law as
The transmission axis of the second analyzer in the figure is at angle ? = ?2 − ?1 from the plane of polarization of the light incident on it (the second analyzer). The intensity of light emerging from the second analyzer is
The third analyzer has its transmission axis at angle ? = ?3 − ?2 from the plane of polarization of the light incident on it (the third analyzer). The intensity of the light emerging from the third analyzer is
If Ii = 14.5 units, ?1 = 18.0°, ?2 = 46.0°, and ?3 = 66.0°, the final emergent intensity of the light is given by the following.
| I | = | I0 cos2? |
| I1 | = | Ii cos2?1. |
| I2 | = | I1 cos2(?2 − ?1) | = | Ii cos2?1 cos2(?2 − ?1). |
| If | = | I2 cos2(?3 − ?2) | = | Ii cos2?1 cos2(?2 − ?1) cos2(?3 − ?2). |
| If | = | Ii cos2?1 cos2(?2 − ?1) cos2(?3 − ?2) | ||||
|
|
||||||
| = |
Your response differs from the correct answer by more than 10%. Double check your calculations. units Your response differs from the correct answer by more than 10%. Double check your calculations.° |
|||||
|
|
||||||
| = | units |
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
