Here is what I do not understand. (I might have misinterpreted your
reasoning). I thought DOF is an optical phenomenon and should have
nothing to do with the size of the print (post-processing).
This is a COMMON misconception. The DoF tables most 35mm SLR users see are based on the assumption that the whole FoV from a 35mm frame will be blown up to about 8x12 and viewed closely by a critical sharp eyed person (they run studies to “create” this mythical person).
First DoF is NOT the range of being “in focus” as there is only exactly one distance (with a simple lens) that is in focus. DoF is really the RANGE of ACCEPTABLE focus.
IF you go back to the DoF equation (and not a simplified table), you will see a parameter called the Circle of Confusion or CoC. The other factors are the Focal Length, F-number, and Focus (often called Subject) distance which are all optical FACTS and are totally objective. But the CoC is a SUBJECTIVE number based on a lot of factors. Simply put, the CoC is based on how much the image will get magnified and how a viewer will perceive the sharpness. The CoC sort of “summarizes” several physical and human perception effects into a single number. If you change the CoC, the DoF will change but nothing changed about the Facts of the lens or the physical image generated by the lens.
The following site has a brief explanation of DoF and the equation.
http://www.dof.pcraft.com/dof-frames.cgi
Better yet the, site below as a DoF calculator that you can download for free, and has a help file with more detailed explainations.
http://www.tangentsoft.net/
The equation starts with something called hyperfocal distance “h.” The hyper focal distance is the nearest point you set the focus at were, everything beyond that will be in-focus (and everything half way to the camera will also be in focus).
h=f*
2 / a*c
were f 2 is the focal length square, a is the F-number, and c is the CoC
near acceptable focus = Dn = h*s / (h + (s-f))
far acceptable focus = Df = h*s / (h – (s-f))
DoF = Df - Dn
where s = focus distance
Now here is where “lying” about a smaller imager “changing” the focal length of a lens catches up somebody. You have 4 numbers to feed into the equation, Focal Length (f), F-number (a), Focus distance (s), and CoC (c). Which number do you change from using a 35mm film camera? A clue, it is NOT the focal length. The answer is ONLY the CoC. The CoC is the only thing that changes when you change the size of the original image.
Actually the CoC should be changed if the OUTPUT size is not 8x12 and viewed critically as well. A 4x6 print does not have to be as sharp on the image plane to be viewed as sharp as an 8x12 output. This is commonly ignored to keep things simple.
Now in the end you don’t want to be pulling out a calculator every time you take a photograph. But unless you have great eyesight, and bright subject and a magnifier on your viewfinder, you can’t really tell the DoF even with a DoF preview button. Thus it is good to develop a basic understanding if you want to keep everything you want in focus.
Karl
--Karl