Single Slit Interference Pattern: Increased Distance

Click For Summary
SUMMARY

The discussion focuses on the effects of increasing the distance between a single slit and a screen on the interference pattern produced by light. As the distance increases, the bright fringes become wider, resulting in a decrease in light intensity and a perception that the bright fringes are closer together. The dark fringes become harder to distinguish due to the spreading of light, raising questions about their actual size versus perceived size. Key expressions and relevant quantities related to fringe positioning are also explored.

PREREQUISITES
  • Understanding of single-slit diffraction principles
  • Familiarity with interference patterns in wave optics
  • Knowledge of light intensity and its relation to fringe visibility
  • Basic grasp of mathematical expressions for fringe spacing
NEXT STEPS
  • Research the mathematical derivation of single-slit diffraction patterns
  • Explore the impact of slit width on interference patterns
  • Learn about the relationship between distance and fringe visibility in wave optics
  • Investigate experimental setups for observing single-slit interference
USEFUL FOR

Students and educators in physics, optical engineers, and anyone interested in the principles of wave optics and interference phenomena.

belbin09
Messages
1
Reaction score
0
Homework Statement
A laser emitting light with a wavelength of 560 nm is directed at a single slit, producing an interference pattern on a screen that is 3.0 m away. The central maximum is 5.0 cm wide.

What would the effect on this pattern be, if the screen was moved further away?
Relevant Equations
Δy = λL/w
ATTEMPT AT SOLUTION

The effect on the pattern when the screen is moved further away is the bright fringes would become wider, the light intensity of the bright fringes would decrease, and the bright fringes will appear closer together.

REASONING

I answered this question based on how light works against a screen in general. The part I get stuck on is how the dark fringes would appear. I state that the bright fringes "appear" closer together because as the distance between the slit and the screen increases the bright fringes would become wider, spreading the light outwards making the dark fringes harder to distinguish. Would the dark fringes actually get smaller or is it just a perception?
 

Attachments

  • Screen Shot 2022-06-03 at 7.57.50 PM.png
    Screen Shot 2022-06-03 at 7.57.50 PM.png
    10 KB · Views: 148
Physics news on Phys.org
What expressions do you know about where the bright and dark fringes appear? What quantities are relevant? Start from there.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
6
Views
3K
Replies
3
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 15 ·
Replies
15
Views
1K