Originally posted by rhodopsin FF sensor is approximately 1.5 times larger than APS-C sensor. To cover a larger area with the same light intensity, i.e. the same light intensity per unit area, the lens covering FF must let in more light than the lens covering only APS-C.
I wonder does Sigma 10-20mm covers FF above 13mm with the same light intensity across the entire frame? I think there is light intensity drop-off beginning outside the APC-C frame.
My Sigma 1.4/30 (APS-C lens) did not cover FF, not even close, was heavily vignetted.
I think you are missing something here, F stop is the ratio of diameter to focal length and is independent of projection circle.
The image magnification, is a function of focal length and subject distance only,
Considering these two points, and ONLY these two points, assuming there is no difference in transmission through any two lenses at one specific focal length, the average illumination is the same regardless of the image circle they are designed to project onto.
Now, when you consider a lens designed for a cropped sensor, there are several areas where the light outside of the projection circle goes, compared to a full frame lens. First and foremost is the lens hood, which for ASP-C sensors will lead to vignetting. It is designed for ht efield of view of the ASP-C sensor not full frame, remove this.
Second, the internal design of the lens may have things that restrict the light that is outside the image circle, and lastly, the lens may actually, as with my sigma 10-20, cover the full frame under most circulstances., in which case the light is absorbed by the black surfaces of the mirror box.
the simple fact that a lens projects an image onto a smaller sensor does not alter at any aperture how bright the image is. Brightness is determined by magnification ratio and aperture only. Magnification ration because the bigger an image is (i.e.the more spread out it is) the lower the light per square area, and aperture because the smaller the diameter the less light entering the lens. That is all.
The bigger issue with full frame lenses, especially related to pentax lenses or older film lenses is the lack of rear element coatings that can assist in reducing reflection off the sensor, but that is another issue all together.
The bottom line here is that prividing the lens and camera body are properly designed and manufactured, and there are no shiny reflective parts in the mirror box or on the rear of the lens to reflect any stray light, it does not matter.
As I pointed out above, just look at any telephoto lens, the diameter of the front element in a digital lens is the same diameter as a film lens, it has to be, that is what deternines maximum aperture.