SkipD wrote in post #14485485
I have no idea what you're trying to say with the term "ratio".
Any lens set at a particular f-stop will illuminate the film plane or sensor surface with the same intensity of light. That's not saying that there are the same total number of photons going through the lens, as the field (angle) of view changes with different focal lengths. However with the same ISO value (or film speed), shutter speed, and f-stop setting the exposure will be the same (within manufacturing tolerances of the lens' f-stop settings).
In simplistic terms, the brightness of the image on the film will be the same for any focal length lens which has its aperture control set to the same f-stop value. If this were not true, light meters and the exposure settings we use would be useless.
Because aperature is indeed a ratio. While the number we talk about is found with a mathmatical calculation including the lenth and width of the lens. In actual use, we are dealing with the ammount of available light (flash and ambient) vs how much makes it through the aperature. Remember 1 stop is half/double the light. You cant make a half with out a ratio of some kind.
I admit I was not complete in my reply. I was trying to clear it up without calling anybody out.
But....
The aperture value of 2.8 means that they do in fact allow the same amount of light at 2.8 and any other aperture for that matter.
And
Furthermore, it doesn't matter the focal length. At a given f-stop, say 2.8 a 35mm and a 400mm will both allow in the same amount of light, even though the 400mm aperture diameter will be much larger. The equalizing factor is the field of view is much wider for the 35mm, so the cumulative amount of light is equal for both lenses at 2.8 (or any other f-stop).
The concept is fairly good. But when the wrong words are used it becomes wrong. It in fact is not the same amount as was stated. Aproximately the same intensity as you have stated is correct. (Differences is glass light transmition effeciency will come into play if you want to get technical. But in the real world it is close enough.) Small difference. But big enough to make it wrong.