Diffraction - Why must slit width be comparable to the wavelength of light?

Click For Summary
SUMMARY

Diffraction of light occurs when the slit width is comparable to the wavelength of the light. As the wavelength increases, the slit must decrease in size to observe noticeable diffraction effects. This phenomenon arises because the electromagnetic fields must satisfy the wave equation, and the material of the slit attenuates these fields. When the slit width exceeds the wavelength significantly, the wave behaves more like a planar wave, resulting in minimal diffraction.

PREREQUISITES
  • Understanding of electromagnetic wave theory
  • Familiarity with the wave equation
  • Knowledge of diffraction principles
  • Basic concepts of wave-particle duality
NEXT STEPS
  • Research the relationship between wavelength and slit width in diffraction experiments
  • Explore the mathematical formulation of the wave equation
  • Learn about boundary conditions in wave mechanics
  • Investigate applications of diffraction in optical devices
USEFUL FOR

Physics students, optical engineers, and researchers interested in wave phenomena and diffraction effects in light.

nousername
Messages
31
Reaction score
1
Hey guys,

In diffraction of light, why must the slit width be of comparable size to the wavelength of the light being shone on it for diffraction to be noticed most?

Thanks
 
Science news on Phys.org
The longer the wavelength, the closer the slit has to be away and vice-verca. As it has more energy it just makes it easier to notice the difractiong
 
Diffraction happens because the electromagnetic fields must satisfy the wave equation.
The electromagnetic field is attenuated by the material of the slit, therefore the electromagnetic field cannot be represented as a perfect plane wave when it goes through the slit. (A perfect plane wave requires a large amount of free space).
If the slit width is much larger than the light's wavelength, the amplitude of the field drops off after many wavelengths to the side, so in the middle of the slit, the wave is mostly planar. (I.e. diffraction doesn't happen much).
If the slit is comparable to the wavelength, the wave cannot be planar within the slit, because the amplitude must drop off only a wavelength to the side, so the planar quality of the wave is messed up.
So basically, it is because of constricting boundary conditions that the wave inside the slit can't be planar (if the slit size is comparable to the wavelength), which causes diffraction.
 
  • Like
Likes   Reactions: DoobleD

Similar threads

  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K