Diffraction and interference patterns

In summary, the interference pattern in Young's double slit experiment does take into account single slit diffraction, but the slit separation plays a dominant role. However, a more precise calculation can be done to account for both effects. This is due to the assumption that the slits are infinitesimals in the double slit pattern, while the width of the slit is considered in single slit diffraction.
  • #1
nokia8650
219
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In Young's double slit experiment, how come the interefernece pattern produced does not take into account single slit diffraction?

Thanks
 
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  • #2
It does. It is just that since (if) the slit separation is substantially greater than the slit widths this factor dominates. You can however do a more precise calculation which takes both effects into account.

[edit: PS] My reasoning may not quite be right w.r.t. relative widths but the rest is correct.[ end edit]
 
  • #3
I agree with jambaugh. Another way of saying it is that, for a single slit difraction patern, you assume that the width of the slit is nonnegligible, whereas, for a double slit pattern, you assume that the slits are infinitesimals, like ideal line sources with zero width.
 
  • #4
That makes sense, thanks!
 

1. What is the difference between diffraction and interference patterns?

Diffraction is the bending of waves around obstacles or through small openings, while interference is the interaction of waves when they overlap or intersect.

2. How do diffraction and interference patterns form?

Diffraction and interference patterns form when waves interact with each other or with obstacles in their path. This causes the waves to interfere constructively or destructively, resulting in a pattern of light and dark areas.

3. What is the importance of diffraction and interference patterns?

Diffraction and interference patterns are important in understanding the nature of light and other types of waves. They also have practical applications in fields such as optics, acoustics, and radio communication.

4. What factors affect the formation of diffraction and interference patterns?

The wavelength of the wave, the size of the obstacle or opening, and the distance between the source of the wave and the obstacle all affect the formation of diffraction and interference patterns. Additionally, the medium through which the wave travels can also play a role.

5. How are diffraction and interference patterns used in research and technology?

Diffraction and interference patterns are used in various research fields, such as astronomy and particle physics, to study the properties of waves and particles. They are also utilized in technologies such as diffraction gratings for spectrometry and holography for imaging.

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