mapgraphs wrote:

bobn2 wrote:

mapgraphs wrote:

bobn2 wrote:

If you say 'the aperture of the lens is f/2' what you are saying is 'the aperture of the lens is f divided by two', so then you ask, what is 'f' - of course it's the focal length, so 'the aperture' is 'the focal length divided by two'

So, if someone tells you that the aperture of a 50mm f/2 lens and a 25mm f/2 lens is the same, they are wrong. in the case of the 50mm lens it is 50/2 mm, = 25mm and in the case of the 25mm lens it is 25/2 mm = 12.5mm.

Um, no Bob.

The f/ number is the focal length divided by the diameter of the entrance pupil.

The aperture diameter is the diameter of the entrance pupil. Let's call it A and the f-number N.

You tell me that N = f/A

I say that A = f/N. Can you not see these are the same thing? Lets do it one step at a time.

N = f/A

multiply both sides by A gives A*N = f

divide both sides by N gives A = f/N

Which means in your example above, if the element entrance diameter of the 50mm lens results in an f/2 maximum aperture and the element entrance diameter of the 25mm lens results in a f/2 maximum aperture, both lenses are in fact f/2.

I'm not sure what you mean by 'element entrance diameter' - let's stick to 'entrance pupil'. The entrance pupil (aperture) diameter of a f/2 50mm lens is 50/2 = 25mm. The entrance pupil (aperture) diameter of a f/2 25mm lens is 25/2 - 12.5mm. The two lenses have different entrance pupil sizes (as the must, since they have different focal lengths)

It's Elementary.

I'd have thought so, but you got it wrong nonetheless.

Sorry.

You don't have to be, we all make mistakes sometimes.

I'll try and make it more understandable,

I understand it already, thanks - it's you that's having the difficulty, I think.

The f/ number is the Focal Length (FL) divided by the Diameter (D) of the entrance pupil.

so the equation is f/ = FL/D

You're defining f as focal length one moment and then defining f as aperture the next. It just doesn't work that way. So no they aren't the same.

Sorry.

That's a not helpful notation. You're using '/' in two different senses. Allow me to replace it with '#' which is a notation some use:

f# = FL/D

D*f# = FL

D = FL/f#

same result, just different symbols. Whatever, the aperture diameter is given by the focal length divided by the f-number.

You're defining f as focal length one moment and then defining f as aperture the next.

No, I'm not, my usage of 'f' for the focal length is consistent.

It just doesn't work that way. So no they aren't the same.

'f' always stands for 'focal length', yielding a formula which gives the 'aperture'. Aperture in optics is a distance, the diameter of the entrance pupil, consistently for telescopes, binoculars and so on. In photography we use the 'relative aperture' or 'f-number', and the derivation is as the formula I give.

Sorry.

No need to be sorry, unless you're intentionally being obtuse for effect.