A simple way to look at it is to pick a pixel and move the sensor
linearly. The pixel will move the same distance whether it contains
the image of a close or distant object.
This proof is simply wrong, because you are assuming wrong. Every
pixel will "not" move the same distance. Only the pixels at the
center will move the same distance, provided the distance is small
enough, because as soon as the pixel is off center due to movement,
it would start moving by a scale determined by the angle of spread
and distance of image plane. This is the same reason that in the cone
of view the cross section covered at each distance will increase in
area as you move farther away
Another proof is none of the
in-body IS will work if images from different distances move
differently on the sensor.
Again, you are proving something wrong here. The shake is determined
at the sensor and the sensor gets compensated by the determined
amount. This has nothing to do with what is at 20m away or 40m away.
They still fall within the same cone of view. The lateral shift of a
point at 40m away might be less than that of a point 20m away, but at
the same time the resolution of the point 40m away is also less that
the nearer point on the sensor plane. You will need a proportionally
bigger point farther away to experience a similar shake on sensor
plane. The output hence is mostly unaffected as long as sensor is
correctly compensated
BTW with a PH.D in physics I hope I can still
understand HS optics.
If this is indeed true, either it's been a long time and you have not
been revising; or they didn't teach you very well; or perhaps you
specialized in some other field altogether. If you can think of any
other reason why you can be wrong and still brag about the
qualification, just let us know. Oh yes, another reason may be that
people sometimes simply make mistakes (I may have made a few here,
and frankly, I don't have a degree in optics)
In any case, I think if you are into applied Physics rather than
theoretical science, the experiment suggested by Gina should help to
clear it
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