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Hi Michael,
Actually the Rayleigh criterion of 0.61*lambda/NA is not no-dip,
but with a ~0.8 dip. There does exist other criteria, not as well
known but may be visibly more accurate for "resolution limit", such as
Sparrow's and Dawn's.
http://www.licha.de/astro_article_mtf_telescope_resolution.php
A wild idea that, given the fact that super-resolution can be
surpassed by localization of blinking items (such as quantum dots),
and stars are blinking because of turbulance of the air, can the
telescope's resolution be surpassed by such method?
Reference: Fast, background-free, 3D super-resolution optical
fluctuation imaging (SOFI)
T. Dertingera,1, R. Colyera, G. Iyera, S. Weissa,b,c,1 and J. Enderleind,1
http://www.pnas.org/content/106/52/22287.long
Sincerely,
Peng Xi
Ph. D. Associate Professor
Dept. of Biomedical Engineering, College of Engineering
Peking University, Beijing, China
Tel: +86 10-6276 7155
Email: [log in to unmask]
http://bme.pku.edu.cn/~xipeng
On Thu, Oct 27, 2011 at 2:44 AM, MODEL, MICHAEL <[log in to unmask]> wrote:
> *****
> To join, leave or search the confocal microscopy listserv, go to:
> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
> *****
>
> I think the reason for using 0.61 is that this definition will give the smallest separation between two points that will produce no dip of intensity between them... Unless it's something else :(
> Mike
>
> -----Original Message-----
> From: Confocal Microscopy List [mailto:[log in to unmask]] On Behalf Of Craig Brideau
> Sent: Wednesday, October 26, 2011 2:25 PM
> To: [log in to unmask]
> Subject: Re: Airy Units -
>
> *****
> To join, leave or search the confocal microscopy listserv, go to:
> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
> *****
>
> There are two brightness criteria for measuring width. There's FWHM as
> mentioned by Christophe, but there is also 1/e (where e is euler's number).
> Basically when the power level drops to 1/e on both sides of the curve is
> the point where the width measurement is taken. This is also frequently
> used to describe beam diameters in lasers. For example a laser described as
> having a 2mm beam means that the points on opposite sides of the beam at
> which intensity drops to 1/e of the maximum is 2mm apart.
>
> Craig
>
>
> On Wed, Oct 26, 2011 at 9:43 AM, Christophe Leterrier <
> [log in to unmask]> wrote:
>
>> *****
>> To join, leave or search the confocal microscopy listserv, go to:
>> http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
>> *****
>>
>> I think the formula with 0.51 is the full width at half maximum (FWHM),
>> i.e.
>> the distance between the two points where the intensity is half the
>> maximum,
>> whereas the one with 0.61 is the radius of the Airy disk, i.e. the distance
>> between the maximum and the first minimum.
>>
>> Christophe
>>
>> On Wed, Oct 26, 2011 at 17:25, Armstrong, Brian <[log in to unmask]>
>> wrote:
>>
>> > *****
>> > To join, leave or search the confocal microscopy listserv, go to:
>> > http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
>> > *****
>> >
>> > Guy (and list), in a couple of super-resolution talks I've attended they
>> > were using 0.51 instead of 0.61 for the constant. Do you know the
>> rationale
>> > behind this?
>> > Thanks, Brian
>> >
>> > Brian Armstrong PhD
>> > Light Microscopy Core
>> > Beckman Research Institute
>> > 1450 East Duarte Rd
>> > Duarte, CA 91010
>> > 626-256-4673 x62872
>> >
>> >
>> http://www.cityofhope.org/SharedResources/LightMicroscopy/LightMicroHome.htm
>> >
>> >
>> > -----Original Message-----
>> > From: Confocal Microscopy List [mailto:[log in to unmask]]
>> > On Behalf Of Guy Cox
>> > Sent: Wednesday, October 26, 2011 2:46 AM
>> > To: [log in to unmask]
>> > Subject: Airy Units - was: RE: "Out of Office autoreply" courtesy
>> >
>> > *****
>> > To join, leave or search the confocal microscopy listserv, go to:
>> > http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
>> > *****
>> >
>> > You are right, it has been totally drowned out!
>> >
>> > The Airy unit is defined by the size of the Airy disk, that is the size
>> > of the disk representing the image of a point object. Airy was an
>> > astronomer and thus derived it by reference to stars (which, though
>> > huge, are so far away that they appear as point objects). John Strutt,
>> > Lord Rayleigh, proposed a general resolution criterion that two objects
>> > can be considered resolved if the maximum of one Airy disk lies on the
>> > first minimum of the other. This criterion, the radius of the central
>> > disk (ignoring surrounding haloes) is given by r = 0.61 lambda /
>> > NA, where lambda is the wavelength of the light being used.
>> >
>> > Guy
>> >
>> >
>> > Optical Imaging Techniques in Cell Biology
>> > by Guy Cox CRC Press / Taylor & Francis
>> > http://www.guycox.com/optical.htm
>> > ______________________________________________
>> > Associate Professor Guy Cox, MA, DPhil(Oxon)
>> > Australian Centre for Microscopy & Microanalysis,
>> > Madsen Building F09, University of Sydney, NSW 2006
>> >
>> > Phone +61 2 9351 3176 Fax +61 2 9351 7682
>> > Mobile 0413 281 861
>> > ______________________________________________
>> > http://www.guycox.net
>> >
>> >
>> >
>> > -----Original Message-----
>> > From: Confocal Microscopy List [mailto:[log in to unmask]]
>> > On Behalf Of Peter G. Werner
>> > Sent: Sunday, 23 October 2011 4:55 AM
>> > To: [log in to unmask]
>> > Subject: Re: "Out of Office autoreply" courtesy
>> >
>> > *****
>> > To join, leave or search the confocal microscopy listserv, go to:
>> > http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
>> > *****
>> >
>> > And I hate to point this out, but the question I originally asked
>> > (concerning the definition of Airy Units) has been drowned out by all
>> > the
>> > commentary about the "Out of Office autoreply" that my initial email
>> > generated.
>> >
>> > If nobody has an answer to the question, no worries, but I'd hate to see
>> > the
>> > topic get lost under the weight of discussion of listserv function.
>> >
>> > -----
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