Your television picture is created by 720 horizontal lines of pixels, arranged o

Question

Your television picture is created by 720 horizontal lines of pixels, arranged on a screen of total height h. Assume that your ability to resolve the lines is limited only by the Rayleigh criterion, and that the pupils of your eyes are 5.16 mm in diameter. Beyond a certain distance from the screen L, you won't be able to resolve individual lines of pixels and the TV picture will not appear pointillistic. Calculate this ratio L/h of minimum viewing distance to screen height. Assume that the average wavelength of the light coming from the screen is 526 nm.

Explanation / Answer

rayleigh criterion sin theta = 1.22 lambda/D

theta = arcsin(1.22*526E-9/5.16E-3)

tan theta = y/L

y = h/720

h/L = 720*tan(theta)

L/h = 1/(720*tan(theta)) = 1/(720*tan(arcsin(1.22*526E-9/5.16E-3)))=11.17

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