Optimum gap size for diffraction

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Homework Help Overview

The discussion revolves around the concept of diffraction, specifically regarding the relationship between the width of a slit and the wavelength of light. The original poster questions whether maximum diffraction occurs when the slit width is comparable to the wavelength or when it is smaller.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of "maximum diffraction" and how to quantify diffraction. There are inquiries about the specific meaning of "width" in the context of the problem and the level of physics being discussed. The original poster clarifies that they are referring to single slit diffraction and seeks to understand the implications of varying slit widths on diffraction patterns.

Discussion Status

Participants are actively questioning the original poster's phrasing and assumptions. Some guidance has been offered regarding the relationship between slit width and wavelength, but there is no explicit consensus on the definitions or quantification of diffraction. The discussion remains open with multiple interpretations being explored.

Contextual Notes

The original poster indicates that they are working at a high school level and are focused on conceptual understanding rather than complex mathematics or experimentation. There is a reference to visual aids that illustrate different levels of diffraction, but no specific diffraction work has been conducted by the original poster.

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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