 Quote by fisico30
Will the chief rays from the off-axis points making up the planar, extended object all pass through the center of the AS too?
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Yes.
 Quote by fisico30
Will these off-axis points see the same aperture as the aperture stop for the system?
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Not always. 'Yes' for well designed lenses with a low-to-moderate field of view, 'No' for wide-angle lenses and poorly designed lenses (e.g. vignetting).
 Quote by fisico30
If an object is 3-dimensional, can we still select one aperture in the optical system to be the AS?
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Yes. The AS is a property of the lens, not the object.