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As the pin-hole gets smaller, depth of field increases. ...
However, as the hole gets smaller, resolution gets worse. ...
Here is the argument I have heard for the aperture effect though.
theta_min = 1.22 (wavelength / diameter) for a circular aperture. If you
can make your pupils dilate to twice their original size, theta_min becomes
half of what it was - you can read words that are twice as far away as
before.