Effect of Rotating Polarizing Films

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In summary: This is known as Malus's law.Right.In summary, when two polarizing films are rotated with respect to each other, the amount of light that passes through is related to the angle between the two films, with all light passing through when they are parallel, no light passing through when they are at a right angle, and an amount related to the angle between them when at an angle in between. This is known as Malus's law.
  • #1
chef99
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Homework Statement


Imagine that you had two polarizing films and were holding them one on top of the other. What would the effect of rotating the two polarizing films, with respect to one another, be? Explain what would be seen, and why.[/B]

Homework Equations



n/a

The Attempt at a Solution

The first filter would polarize the light along its axis. If the second filter is aligned the same as the first, (both aligned vertically or horizontally) than the light that passed through the first filter would also pass through the second filter. This means the second filter wouldn’t affect the light emitted from the first filter. If the filters were rotated, in relation to each other, only the light parallel to the second filter would pass through. This would result in less light traveling through the second filter, making the light emitted appear dimmer. If the films were rotated perpendicular to each other, no light would be emitted through, therefore no light would be seen.Any thoughts on how this could be improved, or if it is incorrect is greatly appreciated. Thanks
 
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  • #2
Right.

You can also comment on the polarization of the light after the second filter.
 
  • #3
mfb said:
Right.

You can also comment on the polarization of the light after the second filter.

So I should add:

after passing through the second filter, the polarization will be in the direction of the second filter.

Is that what you are talking about?
 
  • #4
chef99 said:
If the filters were rotated, in relation to each other, only the light parallel to the second filter would pass through.
But you wrote:
chef99 said:
The first filter would polarize the light along its axis.
If the filter axes are not parallel, and the first filter has polarized the light parallel to its own axis, then none of it is parallel to the axis of the second filter.

Any ideas on how to modify the first statement above to resolve this?
 
  • #5
haruspex said:
But you wrote:

If the filter axes are not parallel, and the first filter has polarized the light parallel to its own axis, then none of it is parallel to the axis of the second filter.

Any ideas on how to modify the first statement above to resolve this?

Should I say:

when the films are rotated, in relation to each other, only the component of the light that is parallel to the second filter passes through.

Does that make more sense?
 
  • #6
That is better.
chef99 said:
So I should add:

after passing through the second filter, the polarization will be in the direction of the second filter.

Is that what you are talking about?
That is what I meant, yes.
 
  • #7
chef99 said:
when the films are rotated, in relation to each other, only the component of the light that is parallel to the second filter passes through.
That is better, but arguably still not right. That wording suggests that if the angle between the current polarisation of the light and the direction of the filter is θ then the fraction that gets through is ##\cos(\theta)##. In fact, it is ##\cos^2(\theta)##.
Maybe just say that the fraction that gets through is related to the angle between the two in such a way that when parallel all gets through and when at right angles... etc.
 
  • #8
haruspex said:
That is better, but arguably still not right. That wording suggests that if the angle between the current polarisation of the light and the direction of the filter is θ then the fraction that gets through is ##\cos(\theta)##. In fact, it is ##\cos^2(\theta)##.
Maybe just say that the fraction that gets through is related to the angle between the two in such a way that when parallel all gets through and when at right angles... etc.
Ok, that makes sense. So when they are rotated, the amount that gets through is related to the degree of the angle between the two films? If they are parallel then all light gets through, if they are at a right angle no light gets through, and if they are at an angle in between then the amount of light that gets through is related to the angle.
 
  • #9
chef99 said:
Ok, that makes sense. So when they are rotated, the amount that gets through is related to the degree of the angle between the two films? If they are parallel then all light gets through, if they are at a right angle no light gets through, and if they are at an angle in between then the amount of light that gets through is related to the angle.
Yes.
 
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1. What is the effect of rotating polarizing films on light?

The effect of rotating polarizing films on light is that it changes the polarization state of the light. Polarizing films act as filters, allowing only light waves that vibrate in a certain direction to pass through. When the film is rotated, the direction of the allowed light waves also changes, affecting the intensity and color of the transmitted light.

2. How does the angle of rotation affect the polarization of light?

The angle of rotation of polarizing films determines the amount of polarization that occurs. At certain angles, the film will completely block out all light waves except for those vibrating in a specific direction. Other angles will allow more light to pass through, resulting in less polarization.

3. What is the principle behind the effect of rotating polarizing films?

The principle behind rotating polarizing films is based on the behavior of light waves. Light is an electromagnetic wave, and it has a property called polarization, which refers to the direction in which the electric and magnetic fields of the wave vibrate. Polarizing films are able to filter out light waves with certain polarization orientations, resulting in changes in the transmitted light.

4. How does the thickness of polarizing films affect their effectiveness?

The thickness of polarizing films can affect their effectiveness in blocking or transmitting light waves. Thicker films may absorb more light, resulting in a darker transmitted light. Additionally, the thickness can also affect the angle at which the film needs to be rotated to achieve maximum polarization.

5. What are some real-life applications of the effect of rotating polarizing films?

Rotating polarizing films have many practical applications, such as in sunglasses, camera lenses, LCD screens, and 3D glasses. They are also used in scientific instruments, such as polarimeters, to measure the polarization of light. Additionally, they are used in the study of crystal structures and materials, as the polarization of light can reveal information about their internal structure.

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