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The photosensitive cells (rods and cones) in the retina are most densely packed in the fovea- the part of the retina used to see straight ahead. In the fovea, the cells are all cones spaced about $1 \mu \mathrm{m}$ apart. Would our vision have much better resolution if they were closer together? To answer this question, assume two light sources are just far enough apart to be resolvable according to Rayleigh's criterion. Assume an average pupil diameter of $5 \mathrm{mm}$ and an eye diameter of $25 \mathrm{mm}$. Also assume that the index of refraction of the vitreous fluid in the eye is $1 ;$ in other words, treat the pupil as a circular aperture with air on both sides. What is the spacing of the cones if the centers of the diffraction maxima fall on two nonadjacent cones with a single intervening cone? (There must be an intervening dark cone in order to resolve the two sources; if two adjacent cones are stimulated, the brain assumes a single source.)

2.44 x $10^{6}m$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 25

Interference and Diffraction

Electromagnetic Waves

Reflection and Refraction of Light

Wave Optics

Simon Fraser University

Hope College

University of Sheffield

McMaster University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

05:52

Resolution of the Eye. The…

02:29

(III) The closely packed c…

01:20

(II) The closely packed co…

05:54

The cornea of the eye has …

04:20

Focus of the eye. The corn…

04:15

$\bullet$$\bullet$ Resolut…

02:57

The normal human eye has m…

02:22

01:50

Once dark adapted, the pup…

13:49

The smallest object we can…

in this particular problem, we have to use the formula. A sign get the tenor is equal to one point to do them there when the rather criteria gay satisfied on the objects are barely result. So signed ticker or sign of Delta Tater comes out to be one point to do Lambda over a ik was one point to do. We're using 400 nanometer light. This is the least visible where event So we will use 400 Nana meter are 400 times change the minus six, maybe a meter and the diameter off the que bill is five millimeter so that comes out to be 1.2 times 400 divided by five it was 97.6 times 10 to the minus six. So using small angle approximation, this is the valley off Delta terror as well This much Radian Oh, 97.6 time stand to their minus three Me the radian which is 0.0 976 May the ready in now because the anger, the small that's why we can use jianjun off their dictator is equal to sign off the Arteta. It was do that the data. So Tandon terror is given by X over l because Celta Tetteh so ex Equus and just the tender. Where else is the diameter? 25 millimeter. So 25 damn stand to the minus three times. Get the data 97.6 Time stand to the minus six equals 25 times 97.6 equals 2440 2440 Damn Stand to the minus nine meter which comes out to be 2.44 times 10 to the minus six Major, which is equal to two point for four my cross.

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