In search of old article

[Sergey Tauger]

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Dear list,

I'm looking for an article that was the first explicitly saying that objective works as cookie cutter, i.e has a known cut-off frequency. The things I remember about it
1. Published between 1940 and 1980
2. Not by Born&Wolf, Goodman or Sheppard. It can be McCutchen or Hopkins, but I'm not sure
3. There was a beautiful Taylor series expansion
4. Available in Internet. I downloaded it several years ago and finally forgot the title.

Thanks in advance!

[Marc Reinig]

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"The Numerical Evaluation of the Frequency Response of Optical
Systems", 1957,Proceedings of the Physical Society. Section B, Vol 70,
Issue 10?
Marco

Marc R. Reinig
W. M. Keck Center for Adaptive Optical Microscopy
University of California Santa Cruz



On Sun, Jul 31, 2016 at 3:27 PM, Sergey Tauger <[hidden email]> wrote:

> *****
> To join, leave or search the confocal microscopy listserv, go to:
> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
> Post images on http://www.imgur.com and include the link in your posting.
> *****
>
> Dear list,
>
> I'm looking for an article that was the first explicitly saying that objective works as cookie cutter, i.e has a known cut-off frequency. The things I remember about it
> 1. Published between 1940 and 1980
> 2. Not by Born&Wolf, Goodman or Sheppard. It can be McCutchen or Hopkins, but I'm not sure
> 3. There was a beautiful Taylor series expansion
> 4. Available in Internet. I downloaded it several years ago and finally forgot the title.
>
> Thanks in advance!

[Marc Reinig]

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Sorry, fast fingers

Hopkins, "The Numerical Evaluation of the Frequency Response of Optical
Systems", 1957,Proceedings of the Physical Society. Section B, Vol 70,
Issue 10?

http://stacks.iop.org/0370-1301/70/i=10/a=410?key=crossref.cad67f6b2e3849bb4dee4aef478820bd

Marco

Marc R. Reinig
W. M. Keck Center for Adaptive Optical Microscopy
University of California Santa Cruz



On Mon, Aug 1, 2016 at 7:03 PM, Marc Reinig <[hidden email]> wrote:

> "The Numerical Evaluation of the Frequency Response of Optical
> Systems", 1957,Proceedings of the Physical Society. Section B, Vol 70,
> Issue 10?
> Marco
>
> Marc R. Reinig
> W. M. Keck Center for Adaptive Optical Microscopy
> University of California Santa Cruz
>
>
>
> On Sun, Jul 31, 2016 at 3:27 PM, Sergey Tauger <[hidden email]> wrote:
>> *****
>> To join, leave or search the confocal microscopy listserv, go to:
>> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
>> Post images on http://www.imgur.com and include the link in your posting.
>> *****
>>
>> Dear list,
>>
>> I'm looking for an article that was the first explicitly saying that objective works as cookie cutter, i.e has a known cut-off frequency. The things I remember about it
>> 1. Published between 1940 and 1980
>> 2. Not by Born&Wolf, Goodman or Sheppard. It can be McCutchen or Hopkins, but I'm not sure
>> 3. There was a beautiful Taylor series expansion
>> 4. Available in Internet. I downloaded it several years ago and finally forgot the title.
>>
>> Thanks in advance!

[Sergey Tauger]

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Thank you, Marco

It seems that is not the article.
Could you please tell me, who was the first who proved that objective frequency response is bandlimited to a know frequency? I browsed through articles cited by Hopkins in 50s and Sheppard in 60s, but I still cannot get who was the first.

Best,
Sergey

[Mark Cannell-2]

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Abbe ?

Cheers
On 2/08/2016, at 10:03 pm, Sergey Tauger <[hidden email]> wrote:

> *****
> To join, leave or search the confocal microscopy listserv, go to:
> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
> Post images on http://www.imgur.com and include the link in your posting.
> *****
>
> Thank you, Marco
>
> It seems that is not the article.
> Could you please tell me, who was the first who proved that objective frequency response is bandlimited to a know frequency? I browsed through articles cited by Hopkins in 50s and Sheppard in 60s, but I still cannot get who was the first.
>
> Best,
> Sergey

Mark  B. Cannell Ph.D. FRSNZ FISHR
Professor of Cardiac Cell Biology
School of Physiology &  Pharmacology
Faculty of Biomedical Sciences
University of Bristol
Bristol
BS8 1TD UK

[hidden email]

[Marc Reinig]

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Hopkins, H. H., On the Diffraction Theory of Optical Images,
Proceedings of the Royal Society of London. Series A, Mathematical and
Physical Sciences (1934-1990), 1953, vol 217, Issue 217

see page 425, it's explicit there, though I didn't see a Taylor
expansion, only Fourier.  Haven't found an earlier treatment by
anyone.
Marco

Marc R. Reinig
W. M. Keck Center for Adaptive Optical Microscopy
University of California Santa Cruz



On Tue, Aug 2, 2016 at 4:17 PM, Marc Reinig <[hidden email]> wrote:

> I've always assumed it was implicitly Rayleigh or Abbe, since they
> established the limit of resolution each from a different side of the
> lens.  But that's not dealing specifically with the limits of spatial
> frequency with aperature.  Now I'm curious.  I'll track it down.
>
> Marco
>
> Marc R. Reinig
> W. M. Keck Center for Adaptive Optical Microscopy
> University of California Santa Cruz
>
>
>
> On Tue, Aug 2, 2016 at 2:03 PM, Sergey Tauger <[hidden email]> wrote:
>> *****
>> To join, leave or search the confocal microscopy listserv, go to:
>> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
>> Post images on http://www.imgur.com and include the link in your posting.
>> *****
>>
>> Thank you, Marco
>>
>> It seems that is not the article.
>> Could you please tell me, who was the first who proved that objective frequency response is bandlimited to a know frequency? I browsed through articles cited by Hopkins in 50s and Sheppard in 60s, but I still cannot get who was the first.
>>
>> Best,
>> Sergey

[Sathya Srinivasan]

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Hi Sergey,

I should first agree that I am not a person who is into formulas or
numbers, but a curious microscopist who likes to follow the developments
and learn a few things from experts on the listserv. Your question made me
curious to test my Google searching skills. I found this article:



Generalized Aperture and the Three-Dimensional Diffraction Image



by C. W. McCutchen

Journal of the optical society of America, Volume 54, number 2, February
1964



I am seeing the term "cookie cutter" (one of my search terms!) on the last
line of page one of the article under General proposition. I am not sure if
the article can be attached while posting to the listserv and it bounces
back the mail. I have the article and if you need it, send me a mail.



Hope this is the one and it helps. Good luck.



Sathya Srinivasan

ONPRC

On Wed, Aug 3, 2016 at 2:18 PM, Sathya Srinivasan <[hidden email]>
wrote:

> Hi Sergey,
>
> I should first agree that I am not a person who is into formulas or
> numbers, but a curious microscopist who likes to follow the developments
> and learn a few things from experts on the listserv. Your question made me
> curious to test my Google searching skills. I found this article:
>
>
>
> Generalized Aperture and the Three-Dimensional Diffraction Image
>
>
>
> by C. W. McCutchen
>
> Journal of the optical society of America, Volume 54, number 2, February
> 1964
>
>
>
> I am seeing the term "cookie cutter" (one of my search terms!) on the last
> line of page one of the article under General proposition. I am not sure if
> the article can be attached while posting to the listserv. I have the
> article and if you need it, send me a mail.
>
>
>
> Hope this is the one and it helps. Good luck.
>
>
>
> Sathya Srinivasan
>
> ONPRC
>
> On Sun, Jul 31, 2016 at 3:27 PM, Sergey Tauger <[hidden email]> wrote:
>
>> *****
>> To join, leave or search the confocal microscopy listserv, go to:
>> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
>> Post images on http://www.imgur.com and include the link in your posting.
>> *****
>>
>> Dear list,
>>
>> I'm looking for an article that was the first explicitly saying that
>> objective works as cookie cutter, i.e has a known cut-off frequency. The
>> things I remember about it
>> 1. Published between 1940 and 1980
>> 2. Not by Born&Wolf, Goodman or Sheppard. It can be McCutchen or Hopkins,
>> but I'm not sure
>> 3. There was a beautiful Taylor series expansion
>> 4. Available in Internet. I downloaded it several years ago and finally
>> forgot the title.
>>
>> Thanks in advance!
>>
>
>

[Michael Giacomelli]

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Abbe and Porter in the 1890s-1900s demonstrated that an imaging system
is an optical (low pass) filter.  Explicit Fourier analysis for image
processing came later (1940s), which may be what you are thinking of.

Goodman's Fourier Optics book has a detailed history if you are curious.

Mike


On Sun, Jul 31, 2016 at 6:27 PM, Sergey Tauger <[hidden email]> wrote:

> *****
> To join, leave or search the confocal microscopy listserv, go to:
> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
> Post images on http://www.imgur.com and include the link in your posting.
> *****
>
> Dear list,
>
> I'm looking for an article that was the first explicitly saying that objective works as cookie cutter, i.e has a known cut-off frequency. The things I remember about it
> 1. Published between 1940 and 1980
> 2. Not by Born&Wolf, Goodman or Sheppard. It can be McCutchen or Hopkins, but I'm not sure
> 3. There was a beautiful Taylor series expansion
> 4. Available in Internet. I downloaded it several years ago and finally forgot the title.
>
> Thanks in advance!

[Sergey Tauger]

*****
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http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
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*****

I'd like to thank everyone in this thread.

It seems that HH Hopkins was the first to perform explicit analysis (1943, 1953), and the history of scientific search is perfectly told in Goodman's "Fourier optics". The same story is told in Born&Wolf, but that book makes me sick.

I like Abbe's description, since it has no weird math beneath and can be easily illustrated. The easiest way to understand concept of resolution is given: grating lines seen -> phase reversal -> lines blurred and unseen.

Thanks again!
Sergey