xarqi wrote in post #11386249
I'm not sure if this was covered.
The "aperture" changes when a TC is used because it is not
really aperture at all. It is "F ratio", as I defined earlier. If you change the focal length (with a TC) and keep the entrance pupil the same (since it's the same lens), the F ratio (or "aperture") must necessarily change.
Yep.
When the spec of a lens is given, the aperture is given using an "f/<number>" nomenclature. Ever wonder why that is?
It's because the "f" in that nomenclature stands for the focal length of the lens! The aperture of the lens is being given in terms of the focal length. If you have an f/2.8 lens, the actual diameter of the aperture is the lens' focal length divided by 2.8. If it's a "fixed aperture" zoom lens (which just means the ratio remains constant), then the diameter of the aperture changes as you change the focal length. This is one reason the cheapest zoom lenses tend to have "variable" apertures: the diameter of the aperture doesn't have to be as tightly controlled as a function of focal length.
This is also why when you change the aperture value (the focal length divided by the aperture diameter) to change the light by a stop, which is a factor of two, you don't change the f-stop value by a factor of two, you change it by a factor of the square root of two -- the amount of light being let in by the aperture is directly proportional to its area, not its diameter. It's directly proportional to the square of its diameter. If you were to double the diameter of the aperture, you'd be increasing the amount of light being let in by a factor of four, or two stops. Put another way, the diameter of the aperture is proportional to the square root of the amount of light being let in. Double the amount of light, and you have to increase (multiply) the aperture diameter by a factor of the square root of two. Halve the amount of light, and you have to decrease (divide) the aperture by a factor of the square root of two.
That relationship is why the f-stop numbers change by a square root of two per stop of light controlled.