Double-Slit Experiment:Bright Fringe #s Practical & Theoretical

Click For Summary
SUMMARY

The discussion centers on the practical and theoretical number of bright fringes in the double-slit experiment, particularly with an infinitely thin slit. Theoretically, the diffraction pattern follows a cosine squared function, indicating no upper limit on the number of maxima. However, practical limitations arise due to the infinitesimal light transmission through an infinitely thin slit and the infinite power required for ideal illumination. The observable maxima are ultimately constrained by the product of transmitted power and wavelength, which influences the minimum aperture size necessary for achieving a desired number of maxima.

PREREQUISITES
  • Understanding of the double-slit experiment
  • Knowledge of diffraction patterns and cosine squared functions
  • Familiarity with light transmission principles
  • Basic skills in optics calculations
NEXT STEPS
  • Research the mathematical derivation of the cosine squared diffraction pattern
  • Explore the relationship between aperture size and observable maxima in diffraction
  • Investigate the effects of power and wavelength on light transmission
  • Learn about practical implementations of the double-slit experiment in modern physics
USEFUL FOR

Physicists, optics researchers, and students studying wave phenomena in light, particularly those interested in the principles of diffraction and the double-slit experiment.

nitishexclusive
Messages
1
Reaction score
0
what are the practical and theoretical no. of bright fringes that can be formed in the double slit experiment?
 
Physics news on Phys.org
Consider the case of an infinitely thin slit. The resulting diffraction pattern is a cosine squared pattern, thus there is no theoretical limit on the number of maxima you have, it is just a matter of making your aperture/wavelength ratio small enough to achieve a desired number of maxima.

There are, however practical limits. To illuminate the ideal cosine squared diffraction pattern for an infinitely thin slit, you have to contend with the fact that a) The slit is infinitely thin and thus only an infintesimal amount of light will pass through, and b) It would take an infinite amount of power to properly illuminate the pattern anyway.

In practise, the number of maxima you can observe depends on the upper limit of (transmitted power)*(wavelength), this will inturn determine the minimum aperture size and thus the maximum number of maxima you can observe. Obtaining actual figures will require a bit of research and a few elemantary calculations obviously.

Claude.
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
55
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 3 ·
Replies
3
Views
6K