It's important to understand theory upon which practical
considerations are based. On the other hand, Julia, you are
potentially misleading and confusing the readers with your
(somewhat) esoteric tutorial.
Pandering to the masses, I post the following:
assume D200, f/4 --
1. 50mm focal length, @10 foot distance, DOF is
2 feet
2. 200mm focal length, @40 foot distance, DOF is ~ 2 feet
3. 200mm focal length, @10 foot distance, DOF is 0.1 feet
If you are photographing the same subject in all 3 examples. the
composition of #1 and #2 will be roughly the same. #2 uses 4x the
focal length used in #1, and has the same DOF as #1, at 4x the
distance used in #1.
The comparison we all are used to making (except, perhaps, Julia)
is between #1 and #3. At the same distance from focal plane to
subject (and same camera, same sensor, same aperture setting, same
phase of the moon), the longer focal length lens results in a much
narrower DOF than the shorter focal length lens.
Julia, you are the university professor trying your darndest to
give your students a fundamental understanding of the principles of
light, physics, optics, photons, etc. Even though most of us
operate with a vocational school approach to photography, we all
benefit from being gob-smacked with fundamentals once in a while...
we need it, even though we don't always think in such fundamental
terms when we're "working".
Family,in/outdoor sports, landscape, wildlife
photo galleries at
http://eteam.zenfolio.com
my relationship with my camera is strictly photonic