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  • 4 weeks later...

The key to the kingdom is getting the exposure correct and repeatable and transferable. If we can do this, another photographer with a completely different lash-up , can duplicate your exposure results. Further we can write exposure directions that will operate universally.

 

The problem is: The amount of light passes by an optical system is a variable based on focal length and the working diameter of the lens. Consider that there is a hodgepodge of different focal lengths and apertures, how could we tell some a photographer how to set their camera and yield a fateful image?

 

Ratio to rescue: We use what we call a “focal ratio”, that’s an f-number for short. A ratio is dimensionless. This means we can set any lens set to the same f-number as any other lens as this method will deliver the same exposing energy regardless of the size of the lenses involved. Suppose a giant telescopic camera has a focal length of 1000 inches and an aperture diameter of 125 inches. We obtain the f-number by division. Thus 1000 ÷125 = 8. We say the f-number is f/8. Another photographer using a 100mm lens sets his aperture diameter to 12.5mm. The focal ratio of this lash-up is 100 ÷ 12.5 = 8. In other words f/8. This works so well we can ignore the dimensions involved and just say f/8. No need to know the aperture diameter to work the problem. All is figured out for you when you set your camera to f/8. The good news is: The f-number system takes the muddle away.

 

Since the camera lens is a circular opening, the amount of light passed by the lens is created on the geometry of circles. Truism: If you multiply the diameter of any circle by 1.4 you calculate a revised circle that is twice as big in surface area. We use this scheme to calculate a series of circles, each with either twice or half the area.

 

Since we are dealing we lenses we use this scheme to calculating a set of f-numbers that deliver twice or half the amount of light passed to film or digital chip. The series is: 1 – 1.4 – 2 – 2.8 – 4 – 5.6 – 8 -11 – 16 – 22 -32. Note: each number going right is its neighbor on the left multiplied by 1.4. Each number going left is its neighbor on the right divided by 1.4. Such a ratio set allows adjustment of a lens system that will yield a change in exposure based on 2x increments. Further the f-number system is universal, any lens set to the same f-number, passes about the same amount of light. This permits exposure settings that are unvarying between different all cameras.

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