melauer wrote in post #16167173
People keep saying this. Does anyone have a good explanation of the actual physics involved?
I ask because it seems to me that there are lots of ways to get more light at the sensor which do not involve changing the size of the front element. Changing the curvature of the front element is one. Reducing losses due to internal reflection (better coatings, fewer elements) is another. Having a slightly shorter zoom range than advertised (which most lenses do to some degree) would be yet another. Of course front element size < filter size and if you narrow the gap there you can get away with making the lens (apparently) less large. Finally, you can accept a bit more vignetting.
Likewise, the actual size of the aperture itself seems to be only indirectly related to the size of the front element, though I'm less clear on the details there. It does not however seem that increasing the size of the front element necessarily requires a larger aperture. If for example the internal elements are of higher quality (less distortion around the edges, less light loss) then the aperture can be a bit larger without the elements being a bit larger.
Does anyone have a good reference on lens design which explains this?
The f-numbers that we all know and love is calculated by dividing the focal length of the lens over the width of the entrance pupil
of a lens. The entrance pupil is the optical image of the physical aperture stop as viewed from the front of the lens, and is limited in part by how big the front element is.
For instance, if the front element is 100mm in diameter, then when you look into the front of the lens at the aperture, the apparent size of the aperture (i.e. size of the entrance pupil) can only be at most 100mm. Hence, in most normal to telephoto designs, the size of the front element is directly related to the aperture (and focal length) of the lens.
This is true in practice - a theoretical 85mm f/1.2 should have an entrance pupil of 70.8mm, and the actual front element of the actual 85LII is approximately that wide (72mm front filter size). A theoretical 400mm f/2.8 should have a entrance pupil size of 143mm and the actual EF 400mm f/2.8L IS II has a lens hood diameter of 155mm (ET-155), which means that the front element should be about 145-150mm, again falling in line with our calculations. This breaks down somewhat when we talk about retrofocus designs (wide zooms like the 16-35 or 17-40, etc...), but that is another story for another time.
Having better coatings and such will improve the ultimate light transmission of a certain lens but has no effect on the the f-number. (If you are interested in the light transmission, then the T-number is what you should be looking up and what most cine lens manufacturers report).
A good reference on optical design is Hecht's Optics if you want to know more about this.