Hi Bob,
Long time no see
.
Canon Bob wrote in post #9019548
At the risk of hijacking the thread, it's a good time to ask a question that's been niggling for a while.
Given the impressive MFD of the 300/4 IS, I'd expect the native magnification at this distance to be much higher...why isn't it?
Bob
This is because of the lens formulae, which depend on FL.
a) 1/f = 1/(image distance) + 1/(object distance)
and
b) M = (image size) / (object size) = (image distance) / (object distance)
where f equals FL, and M equals magnification, and object distance and image distance are both calculated or measured from their relative focal or nodal points, IOW,
c) (total distance from image plane to object plane) = (image distance) + (object distance)
At 1:1, image distance equals object distance, otherwise it wouldn't be 1:1 after all, so when you substitute, you get
1/f = 1/(object distance) + 1(object distance) = 2/(object distance)
Work this out and you get object distance equals 2X FL, and similarly image distance also equals 2X FL. Substitute in c) and you find that at 1:1 the distance from image plane to object plane equals 4X FL, or 1200 mm. However, the back focal or nodal point needs to be 600 mm away from the image plane or sensor, and the front focal or nodal point also needs to be 600 mm away from the object plane.
In short, in order to achieve such magnifications with a 300 mm lens, you need it fitted in a tube that allows for roughly 300 mm of extension, making it quite a contraption.
This, BTW, is the reason why it is advisable to use a close-up lens with a long lens for macro type work. A close-up lens maintains the same light level as a lens without one, unlike a lens tube extension, it also gives you an additional benefit: the longer the lens, the more additional magnification you get.
The additional magnification with a close-up lens equals (FL main lens) / (FL close-up lens).
Using a 500D, achromat close-up lens (very good close-up lens), which has an FL of 500 mm (2 dioptres), you will get an additional 300/500 = 0.6X magnification above and beyond what the 300 is already capable of. The disadvantage being of course that with the lens at infinity you already get 0.6X magnification extra as a minimum too, hence no infinity focus possible when mounted.
However, this is a very compact and high quality option for chasing butterflies, photographing flowers, shooting small lizards, dragonflies, scorpions etc, without cramping their space, or when you don't want to come too close
. This is done a lot mostly with the 300 F/4L IS and the 100-400L IS, where the 100-400 obviously is more flexible (0.2X to 0.8X additional magnification just by zooming).
Kind regards, Wim