The normal human eye has maximum visual acuity with a pupil size of about 3 . Fo

Question

The normal human eye has maximum visual acuity with a pupil size of about 3 . For larger pupils, acuity decreases due to increasing aberrations; for smaller pupils, acuity decreases due to increasing effects of diffraction.If your pupil diameter is 2 , as it would be in fairly bright light, what is the smallest diameter circle that you can barely see as a circle, rather than just a dot, if the circle is at your near point, 25 from your eye? Assume the light's wavelength in air is 600 and the index of refraction inside the eye is 1.33.

Explanation / Answer

rayleigh criterion sin theta = 1.22 lambda/D
also tan theta=d/L
tan( arcsin(1.22*610E-9/1.33/2.0E-3)) = d/25.9E-2
d=7.24E-5 m

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