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Archive 2008 · extension tube formulas

  
 
rdjphoto
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p.1 #1 · extension tube formulas


I know I read this somewhere here before, but I was wanting to know the formulas regarding using extension tubes.

For example for a given lens adding an extension tube of 25mm how do you calculate how much closer can you focus.

Also how would you calculate your magnification factor eg. how close do we get to true macro 1:1

Thanks



Mar 27, 2008 at 01:36 PM
Rampai65
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p.1 #2 · extension tube formulas


For a lens set at infinity you would need focal length equivalent of extension to make it give you 1:1. That means a 50mm Lens would need 50mm of extension at Infinity focus to achieve 1:1 magnification. This formula also comes with some other caveats, like the lens has to be symmetric and all that I believe.

Best thing is to shoot a scale at the MFD and see whats the max magnification you can get.




Mar 27, 2008 at 01:52 PM
Rainer
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p.1 #3 · extension tube formulas


You will need the thin lens formula, which is

1/o + 1/i = 1/f

where o and i are object and image distance, respectively, and f is the focal length. As an example, let's look at the 50 f/1.8. The closest focusing distance of this lens is 0.45 m = 450mm. We now get the image distance from

1/450mm + 1/i = 1/50mm,

i = 56.25mm. The magnification factor is i / o = 56.25mm / 450mm = 0.125. Now add the extension tube. i' = i + 25mm = 81.25mm. We find o' from

1/o' + 1/81.25mm = 1/50mm,

o' = 130mm, the new closest focusing distance. And the new magnification factor is i'/o' = 81.25mm / 130mm = 0.625.

The slight differences from the magnification factors given in Canon's Lens Works are due to these lenses being not exactly "thin" lenses.

Rainer



Mar 27, 2008 at 01:59 PM
rdjphoto
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p.1 #4 · extension tube formulas


My math fails me

How did you arrive at i=56.25 ?



Mar 27, 2008 at 03:27 PM
Rainer
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p.1 #5 · extension tube formulas


rdjphoto wrote:
My math fails me

How did you arrive at i=56.25 ?


Let's do it step by step (ignoring the "mm"):

1/450 + 1/i = 1/50

0.002222 + 1/i = 0.02

1/i = 0.02 - 0.002222 = 0.017778

i = 1 / 0.017778 = 56.25

I hope this helps,

Rainer



Mar 27, 2008 at 03:37 PM
rdjphoto
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p.1 #6 · extension tube formulas


Thanks,

Right after I posted the message I figured it out



Mar 27, 2008 at 04:51 PM
Pixel Perfect
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p.1 #7 · extension tube formulas


If you don't need to know the new MFD, then the extra magnifcation m' the tubes gives is simply

m' = ext/FL = 25/50 = 0.5

which is added to the inherent magnification of the 50mm, so

m" = m' + 0.125 = 0.625.



Mar 27, 2008 at 06:57 PM
Dan Lai
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p.1 #8 · extension tube formulas


What is MFD?


Mar 27, 2008 at 07:09 PM
Rainer
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p.1 #9 · extension tube formulas


Dan Lai wrote:
What is MFD?


MFD = minimal focus distance



Mar 27, 2008 at 07:17 PM
Duncan Gibson
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p.1 #10 · extension tube formulas


Minimum Focusing Distance


Mar 27, 2008 at 07:19 PM
Dan Lai
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p.1 #11 · extension tube formulas


Thanks Rainer and Duncan


Mar 27, 2008 at 07:31 PM





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