Re: calculate spacing of airy rings

Posted by Craig Brideau on
URL: http://confocal-microscopy-list.275.s1.nabble.com/calculate-spacing-of-airy-rings-tp7588981p7588985.html

*****
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.
*****

The distribution is a Bessel function I believe. Here is a primer I found
fairly quickly:
www.physics.usyd.edu.au/teach_res/mp/op/doc/op_bessel1.pdf
<https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=7&cad=rja&uact=8&ved=2ahUKEwimgeX9k4zfAhUWJjQIHcKnBm8QFjAGegQIBxAC&url=http%3A%2F%2Fwww.physics.usyd.edu.au%2Fteach_res%2Fmp%2Fop%2Fdoc%2Fop_bessel1.pdf&usg=AOvVaw0eRoNyEXXpS6fO6fHyAPzY>

Also this one which is more general:
web.ipac.caltech.edu/staff/fmasci/home/astro_refs/PSFtheory.pdf
<https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=8&ved=2ahUKEwimgeX9k4zfAhUWJjQIHcKnBm8QFjAHegQICRAC&url=http%3A%2F%2Fweb.ipac.caltech.edu%2Fstaff%2Ffmasci%2Fhome%2Fastro_refs%2FPSFtheory.pdf&usg=AOvVaw3hVr7O1zz2vXL6hwmXEHkF>

Craig

On Thu, Dec 6, 2018 at 12:35 PM S Ram <[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.
> *****
>
> Hi Jens,
> If my memory serves right, the first few radial distance values pertaining
> to the zeros of an Airy profile are listed in the Born and Wolf textbook on
> Optics. The radial distance values will be expressed in a normalized
> coordinate system (scaled by na and lambda) which can be converted back to
> real units. The scaling factor for the conversion should also be in the
> book.
>
> Hope this helps.
> Sripad
>
>
> On Thu, Dec 6, 2018 at 4:22 AM <
> [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 have to pick your brains on a maybe trivial question:
> >
> > How do I calculate the spacing between airy rings for a given objective
> > NA, pinhole size (and shape, we are having hexagonal pinhole) and
> > wavelength.
> > Or is there some (Matlab) code to calculate the whole pattern?
> >
> > Thanks!
> >
> > Jens
>