# 3 Photons going through 3 Polarizers

• JoshWard
In summary, the conversation discusses setting up a sequence of three polarizers at angles of 45 degrees, 75 degrees, and 45 degrees relative to the vertical direction. The question at hand is the probability of 0, 1, 2, or 3 vertically polarized photons passing through all three polarizers. The homework equations involve Dirac notation and the probability is equal to cos^2(θ). The difficulty lies in understanding what θ represents and how to deal with the second polarizer.
JoshWard

## Homework Statement

Suppose we set up a sequence of three polarizers with orientations 45 degrees, 75 degrees and 45 degrees, where the angles refer to how much each polarizer is rotated relative to the vertical direction.

If we send three vertically (i.e. 0 degrees) polarized photons in either 0, 1, 2, or 3 photons might pass through all the polarizers. What is the probability for each of these possibilities?

## Homework Equations

lθ> = cos(θ)l0 degrees> + sin(θ)l90 degrees> (Dirac Notation)
Probability = cos^2(θ)

## The Attempt at a Solution

Well what I have is that when the photons go through the first polarizer, the probability of 1 getting through is 50%, 25% for 2 and so on. Then the photons become polarized at 45 degrees. I'm just having a hard time figuring out how to continue through the 75 degrees polarizer and the last 45 degree polarizer. All I want to know is how to set up the photons going through the 75 degree polarizer, from there I can get the rest.

When you say the probability is equal to ##\cos^2 \theta##, what exactly does ##\theta## represent? If you understand that, how to deal with the second polarizer is straightforward.

## What is the phenomenon of 3 photons going through 3 polarizers?

The phenomenon of 3 photons going through 3 polarizers refers to the process of three individual particles of light, or photons, interacting with three polarizing filters, also known as polarizers. This interaction results in changes in the polarization state of the photons.

## How do polarizers affect the polarization state of photons?

Polarizers are optical filters that allow only light waves with a specific polarization direction to pass through. When a photon passes through a polarizer, its polarization state can either remain unchanged, be partially polarized, or be completely polarized, depending on the angle between the photon's polarization direction and the polarizer's axis.

## What happens when a photon goes through multiple polarizers?

When a photon goes through multiple polarizers, its polarization state can change. If the polarizers are aligned in the same direction, the photon's polarization state will remain unchanged. If the polarizers are perpendicular to each other, the photon's polarization state will be completely blocked. If the polarizers are at different angles, the photon's polarization state will be partially changed.

## What is the relationship between the angle of the polarizers and the change in polarization state of photons?

The relationship between the angle of the polarizers and the change in polarization state of photons follows Malus' law. This law states that the intensity of light passing through a polarizer is proportional to the cosine squared of the angle between the polarization direction of the light and the polarizer's axis. This means that the greater the angle between the polarizers, the more significant the change in polarization state of the photons passing through.

## What is the significance of studying 3 photons going through 3 polarizers?

Studying 3 photons going through 3 polarizers is significant because it allows us to better understand the behavior of light and its interaction with polarizing filters. This knowledge has various applications in fields such as optics, telecommunications, and quantum mechanics. It also helps us to develop new technologies and improve existing ones that rely on polarizers, such as sunglasses, LCD screens, and optical instruments.

Replies
1
Views
1K
Replies
1
Views
911
Replies
11
Views
590
Replies
41
Views
4K
Replies
20
Views
2K
Replies
7
Views
1K
Replies
1
Views
1K
Replies
15
Views
2K
Replies
61
Views
1K
Replies
1
Views
1K