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Natural Science Forum / Physics / Optics / May 2005



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What is a diffraction order?

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Peter Jay Salzman - 30 May 2005 22:50 GMT
But I came across the term "diffraction order" in literature, and I don't
know what it means.

Does it refer to the areas of diffraction maxima (as in the sin(x)/x
Fraunhoffer pattern)?  As in the large central maxima would be zeroth order,
the two on either side would be 1st order, then 2nd order, etc.

Or does it refer to the higher order terms in the expansion of Kirchhoff's
diffraction integral?

What is a diffraction order?

Thanks!
Pete
redbelly - 30 May 2005 23:35 GMT
"Diffraction order" refers to diffraction gratings, and the angles of
the beams that are either reflected from or transmitted through them.

A diagram would illustrate the concept better than I could describe
with text alone.  It might help for you to Google "diffraction grating"
and look for a figure that explains the concept.

At any rate, here is my text description of diffraction orders.  Again,
a diagram is really required to understand it:

The (reflected or transmitted) beams from a grating have the following
property: the optical path difference for adjacent rulings on the
grating must be an integer multiple of the wavelength.  This integer
gives the order for that particular beam.

So:
The zero-th order beam has an optical path difference of zero between
rulings,
The first order beam has an optical path difference equal to one
wavelength,
The second order beam has ... two wavelengths,
etc. etc.

Mark
Peter Jay Salzman - 30 May 2005 23:50 GMT
> "Diffraction order" refers to diffraction gratings, and the angles of
> the beams that are either reflected from or transmitted through them.
[quoted text clipped - 20 lines]
>
> Mark


Hi Mark,

I believe I know which diagram you're talking about -- the one used to
describe (for example) wave interference for Young's double slit, where you
show that d \sin(\theta) = n \lambda.

If so, then I totally understand your explanation.  Thank you!

Pete
redbelly - 31 May 2005 23:30 GMT
Yep, that's the diagram.  Applies to diffraction gratings as well as to
the double slit.  For the diffraction grating, d is the spacing between
adjacent slits or rulings.

Mark

p.s. You're equation confused me for a moment, as I interpreted the
backslash as a "divided by" symbol.  Many (most?) people using these
usenet groups are in a text-only mode of viewing.

> Hi Mark,
>
[quoted text clipped - 5 lines]
>
> Pete
 
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