Optimum gap size for diffraction

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SUMMARY

Diffraction is most pronounced when the width of the slit is on the same order of magnitude as the wavelength of light (W ≈ λ). This relationship indicates that maximum diffraction occurs when the slit width is comparable to the wavelength, while significantly larger slit widths result in reduced diffraction effects. The discussion emphasizes the conceptual understanding of diffraction patterns, particularly in single-slit scenarios, and the importance of quantifying diffraction to determine its extent.

PREREQUISITES
  • Understanding of single-slit diffraction principles
  • Familiarity with the relationship between wavelength and slit width
  • Basic knowledge of diffraction patterns and their visual representation
  • Conceptual grasp of wave behavior in physics
NEXT STEPS
  • Study the mathematical derivation of single-slit diffraction patterns
  • Learn about the impact of varying slit widths on diffraction intensity
  • Explore visual resources illustrating diffraction patterns
  • Investigate the principles of multi-slit diffraction and its applications
USEFUL FOR

High school physics students, educators teaching wave optics, and anyone interested in the fundamental concepts of light behavior and diffraction phenomena.

The_Nster
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Homework Statement



Is diffraction at a maximum when the width of the gap is similar in length to the wavelength of the light? (ie. W ≈ λ, where w=width)

Or is it a maximum when the width is smaller than the wavelength? (i.e W < λ)Thanks for the help!

Homework Equations



n/a (this is a homework problem, but it is more theory based, so I have no work or equations)

The Attempt at a Solution


n/a
 
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What do you mean by "diffraction at a maximum"? How would you quantify the amount of diffraction?
By width, do you mean the separation of the slits or the width of the slits?
What level is this question posed at?

Usually students are taught an approximation of the diffraction maths which works well when the gap (multi-slit) is of the order of the wavelength of the light.
 
Simon Bridge said:
What do you mean by "diffraction at a maximum"? How would you quantify the amount of diffraction?
By width, do you mean the separation of the slits or the width of the slits?
What level is this question posed at?

Usually students are taught an approximation of the diffraction maths which works well when the gap (multi-slit) is of the order of the wavelength of the light.

Hi Simon, thanks for the reply!

By width, I mean the width of the slit opening (I am referring to single slit diffraction).

As for maximum diffraction, I see how that is not a great way to phrase it. Ignore 'maximum', so instead of "which would cause maximum diffraction", substitute "which would cause the most diffraction".

So you are saying that the most diffraction would occur when the width of the slit is in the same order of magnitude as the wavelength?, so would it then be right to say that less diffraction would occur if the wavelength is multiple orders of magnitude larger than the slit?

thanks for the help again!
 
In that case, same question with the new words.
How do you quantify the amount of diffraction soas to determine what is the most?

If the slit was almost zero width, what would the diffraction pattern look like?
What sort of diffraction work have you done so far? Any math? Any practical?
 
Simon Bridge said:
In that case, same question with the new words.
How do you quantify the amount of diffraction soas to determine what is the most?

If the slit was almost zero width, what would the diffraction pattern look like?
What sort of diffraction work have you done so far? Any math? Any practical?

Hi Simon, thanks for replying again, I really appreciate your help!

I am doing high school level physics (so it should be pretty basic - no complicated math, or experimentation, it is just purely conceptual), and as for 'most' diffraction, look at the image here http://www.imagen-estilo.com/images/Newsimages/diffract.jpg ,where the image in the top left corner represents a 'small amount' of diffraction, and the image in the top right hand corner represents 'larger' diffraction (ignore the bottom image).

I have not done any diffraction work so far, just miscellaneous questions from my textbook (but none of them specifically address this issue)

Hopefully that makes it clearer.

Thanks again for your time and help!
 
So what is itvabout the pics that tells you there is "more diffraction" in one than in the other?
Im not asking for my benifit, but to get you to think more scientifically.
 

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