Exp 16: single-slit diffraction, Suggestions on – procedure, You would only see one maxima – PASCO OS-8500 INTRODUCTORY OPTICS SYSTEM User Manual
Page 69: But if, Then, W sin tan, Xl = n, Sin tan, Nw > 1, Position single-slit intensity

012-02744K
Introductory Optics System
®
63
Exp 16: Single-Slit Diffraction
Suggestions on – Procedure
➀
The spacing between fringes increases with de-
creasing slit width.
➁
The double-slit patterns are a superposition of a
single-slit pattern and a “bar” pattern. The single-
slit pattern goes like this:
and the double-slit pattern shows this same intensity
pattern superimposed on a finer pattern.
The wavelengths obtained by this method are consis-
tently higher than expected. This is due to difficulties
in measuring the exact position of the minimum, due
to the width of that minimum. For a better way of
calculating wavelengths, use experiment 15.
➂
You would only see one maxima.
W sin tan
±1
X
L
= n
λ
sin tan
±1
X
L
=
λ
n
W
but if
W <
λ
then
λ
n
W
> 1
(unless n = 0)
However, sin(x) - 1; so the equation is not valid
unless n = 0. Therefore you would expect to see
only the zeroth maxima.
W = 0.04
L = 448
n
X
wavelength
Red
1
9
803.4E—9
2
18
802.9E—9
3
27
802.1E—9
Green
1
8
714.1E—9
2
16
713.8E—9
3
24
713.2E—9
Blue
1
7
624.9E—9
2
14
624.6E—9
3
22
653.9E—9
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
-7
-5
-3
-1
1
3
5
7
Intensity
Position
Single-Slit Intensity
XX
XX
XX
XX
XX
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XX
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XXXXXXXXXXX
XX
X
X
X
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XXXXXXXX
X
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XX
XXX
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XXXX
X
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X
X
X
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X
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X
X
X
X
X
X
X
XXX
X
X
X
X
X
X
X
X
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XXXX
X
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XXXXX
X
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XXXXXX
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XXXXXXXX
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X
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
-7
-5
-3
-1
1
3
5
7
Intensity
Position
Double-Slit Intensity