Double-slit problem with incident and refracted angles

In summary, the double-slit problem with incident and refracted angles is a phenomenon where a single beam of light passing through two parallel slits produces an interference pattern on a screen. This is related to the concept of wave-particle duality and can be affected by factors such as distance and obstacles. The experiment can also be performed with other types of waves and has many applications in modern science.
  • #1
Taulant Sholla
96
5

Homework Statement


For the given configuration, the path difference between the 2 rays is given as δ=dsinθ1 - dsinθ2

Capture.JPG


Homework Equations


Small angle approximation?

The Attempt at a Solution


I'm used to seeing a double-slit situation where only the exit angle is specified, and thus path difference is simply δ=dsinθ. Here, though, we have an incident and refracted θ1 and θ2. Any hints at deriving the following will be appreciated:

δ=dsinθ1 - dsinθ2
 
Physics news on Phys.org
  • #2
Here's a question for you, why do you think one term is positive while the other is negative (i.e. what does it mean physically)?
 

Related to Double-slit problem with incident and refracted angles

1. What is the double-slit problem with incident and refracted angles?

The double-slit problem with incident and refracted angles is a phenomenon in which a single beam of light passing through two parallel slits produces an interference pattern on a screen behind the slits. This effect is due to the wave-like nature of light and can be explained by the superposition of waves coming from each slit.

2. How is the double-slit problem with incident and refracted angles related to wave-particle duality?

The double-slit problem with incident and refracted angles is closely related to the concept of wave-particle duality, which states that particles, such as photons of light, can exhibit both wave-like and particle-like behaviors. In the double-slit experiment, light behaves as a wave when passing through the slits, but as individual particles when observed on the screen.

3. What factors can affect the interference pattern in the double-slit experiment?

The interference pattern in the double-slit experiment can be affected by several factors, such as the distance between the slits, the wavelength of the light, and the distance between the slits and the screen. Additionally, the pattern can be altered by introducing obstacles or polarizers in the path of the light.

4. Can the double-slit experiment be performed with other types of waves besides light?

Yes, the double-slit experiment can be performed with other types of waves, such as sound waves or water waves. In fact, the experiment was first conducted using water waves by Thomas Young in 1801, several years before it was performed with light.

5. What applications does the double-slit experiment have in modern science?

The double-slit experiment has many applications in modern science, particularly in the fields of optics and quantum mechanics. It has been used to study the properties of light and to demonstrate the wave-like behavior of particles at the quantum level. It is also used in various technologies, such as diffraction gratings and optical filters.

Similar threads

  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
7K
  • Introductory Physics Homework Help
Replies
14
Views
976
  • Introductory Physics Homework Help
Replies
14
Views
4K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
5K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
4K
Back
Top