The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest diameter spot the eye can produce on the retina if the pupil diameter is 2.41 mm? Assume light with a wavelength of λ = 550 nm. (Note: The distance from the pupil to the retina is 25.4 mm. In addition, the space between the pupil and the retina is filled with a fluid whose index of refraction is n = 1.336.)Hint: The size of the spot is twice the distance from the main axis to the first minimum.

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Asked Nov 6, 2019
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The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest diameter spot the eye can produce on the retina if the pupil diameter is 2.41 mm? Assume light with a wavelength of λ = 550 nm. (Note: The distance from the pupil to the retina is 25.4 mm. In addition, the space between the pupil and the retina is filled with a fluid whose index of refraction is n = 1.336.)
Hint: The size of the spot is twice the distance from the main axis to the first minimum.

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Expert Answer

Step 1

A circular aperture of diameter D produces a circular diffraction pattern in which the first dark fringe occurring at an angle is

sin 1.22
D
min
(12)
= sin1.22
min
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sin 1.22 D min (12) = sin1.22 min

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Step 2

The wavelength of the light in mediu...

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