I’ll stick with my story that the Luminous Landscape article (‘LL’ hereafter) is misleading with respect to Catch 1 (it ignores Catch 2, but it is a beginner-level article).
For the same object magnification (ie the same magnification of the object the lens is focused on) a lens that is focused near to its hyperfocal distance will have greater depth of field than a longer lens (ie there will be a greater distance between the nearest point that appears to be in focus and the farthest point that appears to be in focus). Fortunately for me, this is easy to demonstrate.
As I mentioned in my previous post, the LL illustrations are of an object that is significantly closer than the hyperfocal distance. In that case my Catch 1 does not apply. The dog is three feet from the gremlin. He states that the camera was between the dog and the gremlin when the 28 mm lens was in use – ie closer than 3 ft. If he used a full-frame DSLR the hyperfocal distance for a 28 mm lens at f/5.6 is about 15 ft.
Supposing that the 28 mm lens is 3 ft from the gremlin, and a full frame DSLR was used. These are the calculated depths of field for constant gremlin magnification (CGM), gremlin distance (GD) and the hyperfocal distances for the lenses he used at f/5.6:
17 mm: 1.28 ft; 1.82 ft; 5.6 ft
28 mm: 1.20 ft; 3 ft; 15.2 ft
50 mm: 1.18 ft; 5.4 ft; 48.5 ft
100 mm: 1.15 ft; 10.7 ft; 194 ft
200 mm: 1.15 ft; 21.4 ft; 774 ft
400 mm: 1.15 ft; 42.8 ft; 3094 ft
There is an 11% increase in DoF going from 400 mm to 17 mm - ie negligible.
As you can see, in none of these cases is the object distance close to the hyperfocal distance. Catch 1 does not, therefore, apply. The DoF is pretty much unaffected by lens focal length.
Here is an example for a D80 (CoC of 0.02 mm assumed) using a 50 mm lens at f/2, focused on an object 60 ft away as the basis. If you want to do the same calculations, see
DofMaster. The figures in brackets are the hyperfocal distances at f/2. As you can see, the 25 mm is focused comparatively close its hyperfocal distance, hence Catch 1 applies.
25 mm lens (51 ft), 30 ft object distance: DoF = 53 ft
50 mm lens (205 ft), 60 ft object distance: DoF = 38 ft
100 mm lens (820 ft), 120 ft object distance: DoF = 36 ft
200 mm lens (3280 ft), 240 ft object distance; DoF = 35 ft
There is a 39% increase in DoF going from just 50 mm to 25 mm, and a 51% increase in DoF going from 200 mm to 25 mm.
In each case the magnification of the object in perfect focus is the same. The magnification of the object at the far limit of the DoF is different:
25 mm lens, object at 72 ft, magnification 0.11%
50 mm lens, object at 85 ft, magnification 0.20%
100 mm lens, object at 140 ft, magnification 0.23%
200 mm lens, object at 259 ft, magnification 0.25%
This does not, however, affect the result that the distance from the near to the far points that appear to be in focus is greater for the 25 than for the 50 mm and 100 mm. As the focused object gets further from the hyperfocal distance, the difference in DoF between the lenses decreases.
The statement in LL
"In fact, if the subject image size remains the same, then at any given aperture all lenses will give the same depth of field" is incorrect, because of Catch 1 and Catch 2. The experiment was flawed because they did not do their homework. They should have repeated it at a greater distance to show Catch 1, and closer with telephoto and retrofocus lenses to show Catch 2.