Gene51 wrote:
Focus breathing. In an effort to keep the lens fro... (
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I think i may have managed it for a lot less with an enlarger lens it is very much external focusing only f4.5 - f16 though.
http://www.uglyhedgehog.com/t-431652-1.html#7333145So for an 80mm lens infinity focus is at 80mm
a near object at 800mm (10x focal length) the lens must move out to 88.8 mm
for 400mm object distance (5x focal length)it would be 100mm 1.25 (80mm x 1.25)
and 160mm object distance (2x focal length) it would be 160mm 2 (80mm x 2) which pretty much explains why extension tubes are used for macro
Lens equation
1/ object distance + 1 / image distance = 1/focal length
Distance of the object in front of the lens Position of the image behind the lens
in units of the focal length in units of the focal length
10 1.11
100 1.01
1,000 1.001
10,000 1.0001
This table pretty much explains why there is such a difference between near focusing and far focusing
if we use a 100mm lens for easy math we can convert to actual mm
10x 1.11 1meter 111mm from the sensor
100x 1.01 10meters 101mm from the sensor
1000x 1.001 100meters 100.1 mm from the sensor
10,000x 1.0001 1000m 100.01mm from the sensor
At 10meters the lens barely needs to move 1 mm is about the width of the 1 in this post
dof and hyperfocal distance tables and calculatorHyper focal distance for nikon dx body 100mm lens
f4 125.1 meters
f5.6 88.5 meters
f8 62.6 meters
f11 44.3 meters
f16 31.4meters
using the lens equation
1/ object distance + 1 / image distance = 1/focal length
or
1/focal length - 1/object distance = 1/ image distance.
f4 1/0.1 -1/125.1 = 9.9992 =0.10008 meters or 100.08mm
f5.6 9.9988 0.100113m 100.11mm
--
f16 9.9681 0.100319m 100.32mm
So aperture and sensor size makes a difference to where infinity effectively begins but still a tiny difference in where the lens needs to be in front of the focal plain.
TL:DR
For focusing nearer than infinity the lens needs to move further away from the sensor the nearer you focus. Around 10x the focal length is relatively easy to achieve, the distance the lenses have to move is 10% of the focal length, although that can be significant and hard to engineer on a long focal length lens. At infinity focus the lens will be within a fraction of a mm of its actual focal length (which is measured at infinity anyway) So you see very little change in magnification at infinity but a lot more at close focus distances. It also makes sense that you will see this more on a long focal length lens than a short focal length lens. Making a Zoom lens is much much harder than making a Prime.
It pretty much explains why a nifty 50mm is so much cheaper than a long telephoto, it is a lot easier to make :)