The intensity of light in a diffraction pattern of a single slit is described by

Question

The intensity of light in a diffraction pattern of a single slit is described by the equation

I = Imax(sin2/ 2)

where

= (a sin )/.

The central maximum is at = 0, and the side maxima are approximately at

= (m+1/2)

for m = 1, 2, 3, . . . . Answer the following. Suggestion: Observe in the figure below that the graph of intensity versus has a horizontal tangent at maxima and also at minima.

(a) Determine more precisely the location of the first side maximum, where m = 1
=
Your response differs from the correct answer by more than 10%. Double check your calculations. rad

(b) Determine more precisely the location of the second side maximum.
= rad

Explanation / Answer

a)

location = (m +0.5)xpi

m = 1

location = 1.5 pi = 4.712 rad ( answer )

b)

for m = 2

location = 2.5 pi = 7.8539 rad answer

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