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Space Forum / Astronomy / January 2007



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Diffraction though an aperture with a rounded edge.

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rgregoryclark@yahoo.com - 29 Jan 2007 20:44 GMT
For many applications you want to limit or remove the *diffracted*
light though an aperture, so that the light arriving at the imaging
plane is more closely described by the geometrical optics
approximation.
Intuitively, it would seem if the edge of the opening were rounded
rather than sharp, less diffracted light would be able to bend around
to enter the aperture. This would be particularly true if the radius of
curvature of the edge was large with respect to the wavelength.
Anyone know of references that address diffraction through apertures
with a rounded edge?

      Bob Clark
dlzc - 29 Jan 2007 21:10 GMT
Dear rgregoryclark:

On Jan 29, 1:44 pm, rgregorycl...@yahoo.com wrote:
>  For many applications you want to limit or remove the *diffracted*
> light though an aperture, so that the light arriving at the imaging
[quoted text clipped - 6 lines]
>  Anyone know of references that address diffraction through apertures
> with a rounded edge?

http://www.smeter.net/propagation/diffrac1.php
... "least diffraction loss occurs [with a] knife edge"

I think you end up simply "feathering" the edges, rather than making
some sort of discrete "ghost edge".

David A. Smith
Old Man - 30 Jan 2007 01:14 GMT
> For many applications you want to limit or remove the *diffracted*
> light though an aperture, so that the light arriving at the imaging
[quoted text clipped - 3 lines]
> rather than sharp, less diffracted light would be able to bend around
> to enter the aperture   .....

Bent intuition. Crooked physics.

For a unidirectional incident wave, binary valued opacity,
complete absorption vs. complete transparency, black
vs. white, over  two dimensions is the intuitive quantum
rule.  A "Cloudy Crystal Ball" smoothes fringes out.

Same post, submitted two days in a row, Clark is a bear
for punishment.

[Old Man]

>       Bob Clark
Helmut Wabnig - 30 Jan 2007 07:40 GMT
>> For many applications you want to limit or remove the *diffracted*
>> light though an aperture, so that the light arriving at the imaging
[quoted text clipped - 17 lines]
>
>>       Bob Clark

yes, and because he's so nasty, we don't tell him that he can
improve the diffraction image  by using a phase shifting mask.
w.
Robert Clark - 30 Jan 2007 13:47 GMT
On Jan 30, 2:40 am, Helmut Wabnig <....  .--  .-   -...  -.  ..  --.
@ .-  ---  -. DOT .-  -> wrote:

> ><rgregorycl...@yahoo.com> wrote in message
> >news:1169829418.545614.276260@a75g2000cwd.googlegroups.com...
[quoted text clipped - 20 lines]
>
> >>       Bob Clark

yes, and because he's so nasty, we don't tell him that he can
improve the diffraction image  by using a phase shifting mask.
w.-

Nasty?

  -  Bob
jmfbahciv@aol.com - 30 Jan 2007 13:18 GMT
Yay!  I was wondering Saturday if you were still induling in newsgroups :-).

<snip>

/BAH
Old Man - 30 Jan 2007 23:22 GMT
> Yay!  I was wondering Saturday if you were still induling in newsgroups
> :-).

Just sci.physics, after a long absence.  Resolved not to
titillate the crackpots, it's worse than ever, but there're a
few worthwhile posts.

[Old Man]

> /BAH
jmfbahciv@aol.com - 31 Jan 2007 12:15 GMT
>> Yay!  I was wondering Saturday if you were still induling in newsgroups
>> :-).
>
>Just sci.physics, after a long absence.  Resolved not to
>titillate the crackpots, it's worse than ever, but there're a
>few worthwhile posts.

There have been a lot more than usual.  /erg is busy again.
And there has been about one curious "kid" each month trying
to puzzle out a mystery.

/BAH
Robert Clark - 31 Jan 2007 02:00 GMT
> <rgregorycl...@yahoo.com> wrote in message
>
[quoted text clipped - 23 lines]
>
> - Show quoted text -

Sorry about the double post.
You can disregard this one and only respond to the first one.

  - Bob Clark
Jonathan Thornburg -- remove -animal to reply - 30 Jan 2007 19:57 GMT
In sci.physics.research rgregoryclark@yahoo.com wrote:
> For many applications you want to limit or remove the *diffracted*
> light though an aperture, so that the light arriving at the imaging
[quoted text clipped - 6 lines]
> Anyone know of references that address diffraction through apertures
> with a rounded edge?

The usual term for this sort of thing is "apodization".  There's a very
brief discussion at
 http://en.wikipedia.org/wiki/Apodization

A Scholar.google.com query for "apodization" finds about 11,000
references, of which (for example)
 http://arxiv.org/abs/astro-ph/0301190
 http://arxiv.org/abs/astro-ph/0512421
look like reasonable starting points, including assorted references to
past work.

Finally, note that further discussion of the astronomical uses of this
might usefully be cross-posted to sci.astro.research.  [Conflict-of-interest
disclosure: I am deputy moderator of s.a.r.]

ciao,

Signature

-- "Jonathan Thornburg -- remove -animal to reply" <jthorn@aei.mpg-zebra.de>
  Max-Planck-Institut fuer Gravitationsphysik (Albert-Einstein-Institut),
  Golm, Germany, "Old Europe"     http://www.aei.mpg.de/~jthorn/home.html     
  "Washing one's hands of the conflict between the powerful and the
   powerless means to side with the powerful, not to be neutral."
                                     -- quote by Freire / poster by Oxfam

 
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