Re: Numbers for Airy pattern graphs?

Posted by mcammer on
URL: http://confocal-microscopy-list.275.s1.nabble.com/Leica-TCS-SP2-LCS-and-Win7-tp7582853p7582930.html

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This sounds like a good exercise for a lab!  

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Michael Cammer, Optical Microscopy Specialist
http://ocs.med.nyu.edu/microscopy
Lab: [phone]  Cell: [phone]

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From: Confocal Microscopy List [[hidden email]] on behalf of Steffen Dietzel [[hidden email]]
Sent: Monday, November 17, 2014 5:40 AM
To: [hidden email]
Subject: Numbers for Airy pattern graphs?

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Dear Confocalists,

for teaching purposes, I would like to have a graph with the following:

1) Intensity profile through the center of the Airy pattern (x,y) of a
fluorescent point for a wavelength of 500 nm (as, say, mean between 488
exc. and 512 em) in widefield, with the distance from the maximum on the
x-axis in nano- or micrometers and the normalized intensity on the
y-axis, say for a NA 1.4 Objective.

2) Same for confocal, closed pinhole.

Bonus:
3) Same for confocal/two photon with 900 nm excitation
4) All of the above along the optical axis instead of the x,y plane.


One purpose of this graph (more precisely: comparison of 1 and 2) would
be to visualize with typical parameters why in the confocal/two-photon
case with the steeper fall in intensity two Airy patterns can be closer
together and still have a 26% dip in intensity between them (called
extended Rayleigh-criterion, I believe?) although the ring with the
first minimum has the same diameter.

I am sure I could find that or a similar version in some book or
article, however I would like to include this in material published on
the web. And to avoid copyright issues the graphs have to be in the
public domain or with a Creative Commons Attribution License (CC-by).
Which probably means that they have to be made new. I would be perfectly
happy to make such graphs myself if I had the respective data (i.e.
columns with numbers for the x- and Y-values) to generate them in Excel,
Calc or Graphpad. However, as a mere biologist I don't know how to
generate such columns.

Therefore I would like to ask if someone would be willing to help out
and generate such columns with numbers. I assume that it is not that
much work for somebody with good insight in Airy pattern formulas and
the right program at hands - and hope I am not wrong with that
assumption. In particular data for graphs 1 and 2 above would be very
helpful.

I am thinking that covering the distance from -5 to +5 µm in 10 nm steps
would probably be more than sufficient.

Cheers

Steffen


--
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Steffen Dietzel, PD Dr. rer. nat
Ludwig-Maximilians-Universität München
Walter-Brendel-Zentrum für experimentelle Medizin (WBex)
Head of light microscopy

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