# Photon Reflection & Transmission: Calculating Probabilities

• kingyof2thejring
In summary, photon reflection and transmission refer to the behavior of light particles when they encounter a surface. The probability of reflection and transmission is calculated using the Fresnel equations, which consider factors such as surface properties, angle of incidence, and wavelength of light. These probabilities can be affected by factors such as surface roughness, index of refraction, and angle of incidence. The law of reflection states that as the angle of incidence increases, the probability of reflection also increases, while the probability of transmission decreases. These probabilities can also be manipulated by altering surface properties or changing the angle of incidence.
kingyof2thejring
qw: A photon is incident on a beam-splitter. At high light intensities, the beam-splitter is known to transmit 30% of the incident light, and reflects 70% of the incident light. Calculate the probability that the photon is refected, and the probability that the photon is transmitted.
how do i answer this question? What do i need to know?

I want to say the answer is given in the problem, so I'm guessing I'm reading it wrong when I conclude the probability it's reflected is 70%

To answer this question, you will need to have a basic understanding of probability and the properties of photons. A photon is a fundamental unit of light and behaves like a particle, meaning it can be reflected or transmitted when it interacts with a surface.

To calculate the probability of reflection and transmission, we can use the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the favorable outcome for reflection is 70% of the incident light, and the favorable outcome for transmission is 30% of the incident light. The total number of possible outcomes is 100% of the incident light.

Therefore, the probability of reflection is 70% / 100% = 0.7 or 70%.

And the probability of transmission is 30% / 100% = 0.3 or 30%.

This means that for every 10 photons incident on the beam-splitter, 7 will be reflected and 3 will be transmitted.

It's important to note that these probabilities are based on the assumption of high light intensities. At lower intensities, the behavior of photons may differ and the probabilities may change. Additionally, other factors such as the angle of incidence and the properties of the beam-splitter may also affect the probabilities.

## 1. What is photon reflection and transmission?

Photon reflection and transmission refer to the behavior of photons, which are particles of light, when they encounter a surface. Reflection occurs when a photon bounces off the surface, while transmission occurs when a photon passes through the surface.

## 2. How is the probability of reflection and transmission calculated?

The probability of reflection and transmission is calculated using the Fresnel equations, which take into account the properties of the surface, such as its index of refraction and the angle of incidence of the photon.

## 3. What factors affect the probability of reflection and transmission?

The probability of reflection and transmission is affected by the properties of the surface, including its index of refraction and surface roughness. The angle of incidence of the photon and the wavelength of the light also play a role in determining the probabilities.

## 4. How does the angle of incidence affect the probabilities of reflection and transmission?

The angle of incidence has a significant impact on the probabilities of reflection and transmission. As the angle of incidence increases, the probability of reflection also increases. This is known as the law of reflection. The probability of transmission, on the other hand, decreases as the angle of incidence increases.

## 5. Can the probabilities of reflection and transmission be manipulated?

Yes, the probabilities of reflection and transmission can be manipulated by altering the properties of the surface or changing the angle of incidence. For example, using a material with a lower index of refraction can increase the probability of transmission, while increasing the angle of incidence can decrease the probability of transmission.

• Introductory Physics Homework Help
Replies
1
Views
175
• Introductory Physics Homework Help
Replies
8
Views
1K
• Introductory Physics Homework Help
Replies
17
Views
427
• Introductory Physics Homework Help
Replies
1
Views
861
• Introductory Physics Homework Help
Replies
17
Views
2K
• Introductory Physics Homework Help
Replies
6
Views
3K
• Introductory Physics Homework Help
Replies
12
Views
997
• Introductory Physics Homework Help
Replies
2
Views
673
• Quantum Interpretations and Foundations
Replies
15
Views
379
• Introductory Physics Homework Help
Replies
1
Views
907