> I think we agree to disagree, because this is off topic here. I'll
leave
> it up to anyone interested to do the test or the math and draw their
own
> conclusions. Formulae for DOF can be found at
>
> http://www.photo.net/photo/optics/lensFAQ


OK

derivative time ... showdown

Using the exact formulae shows you to be correct after all (but IMO to
a small extent and nothing like the magnitude of the popular
statement).
Even at 1:20 magnification the  20mm lens only give 1.5 times the DOF
of a 500mm ... and those are extremes of F for most people.

These formulae are in Langford's Advanced Photography but they are
straightforward to derive by geometry.


Near focus:  F.u.(F + ç.N)/(F^2 + u.ç.N)
Far focus:  F.u.(F - ç.N)/(F^2 - u.ç.N)
DOF = Far - Near


Where F = focal length
u = object distance from front node
ç = diameter of circle of confusion (here taken as 0.025 micron)
N = Aperture (f-number)          (below taken as f22)


Anyway: for various example magnifications at f22 with object distance
adjusted for equal magnification ... compare the differences in DOF
for a 500mm and 20 mm lens ...

M           500mm         20mm
5:1         0.2640         0.2643
1:1         2.200            2.207
1:5       33.001           33.924
1:20    462.247         693.180


I guess I get too bogged down with macro where F has a vanishingly
small effect on DOF and where indeed the increased field of view is
the overwhelming consideration.   But 99% of the time this statement
is made people are referring, mentally, to orders of magnitude
difference not the small percentages calculated above.


I admit it ... I wuz wrong (ish  ;o)


Bob









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