Bob Carnie said:
Hi Ed
would this acceptable area on both sides as you suggest be called the *circle of confusion*.
being the small area of depth of focus that the human eye will accept as sharp.
I suggest we are both talking about the same thing here, My only concern is too not confuse the issue by considering * depth of field * as an applicable method of setting up an enlarger because the 1/3-2/3 idea is unrealistic when focusing on a flat playing field.
We are not talking about the same thing.
A circle of confusion has been defined as: "When we try to focus all the rays of light from a lens into one point, we cannot. The best we can do is to form a circle of light. That circle's deviation from an infinite point - is the "Circle of Confusion". It can be reduced by eliminating some of the rays toward the outside extremities of the lens - restricting the image to the central rays... in other words, using a smaller f/stop."
Formula for determining Depth of Focus / Field:
First calculate the "Hyperfocal Distance - the distance where the lens, when focused at infinity, will produce an acceptably sharp image of the nearest object.
Hyperfocal Distance = ((FxF)/f) x (1/C)
Where:
F= Focal length of the lens
C= Circle of confusion
f = f/stop = diameter of aperture / Focal length of lens
An example = A 50mm lens at f/8, with a Circle of Confusion of 1/100mm:
H= ((50 x 50) / 8) x (1 / (1/100))
H= 312.5 x 100
H= 31250mm; 31.25 meters
Everything from 31.25 meters to infinity will lie within a Circle of Confusion (acceptably sharp) of 1/100 mm.
It is obvious that reducing the f/stop (increasing numerically) will decrease the Hyperfocal distance.
Now, Depth of Field:
For the nearest sharp plane:
(H x D) / (H + ( D - F))
Where:
D = Distance focused upon
H = Hyperfocal distance
F= Focal length of lens
and the farthest sharp plane:
(H x D) / (H - ( D - F))
Working the same lens, same aperture and and the same circle of confusion; focused at 25 meters:
Np = (31.25 x 25.0) / ((31.25 - (25 - .05))
Np = 12.4 meters
The Farthest plane:
Fp = (31.25 x 25.0) / ((31.25 - (25.0 - .05))
Fp = 124.0 meters.
Someone check my math!!!
I haven't cracked those books for one hell of a long time!!! I just realized HOW long!!