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71
2008, , 1-16
Chinese Physics Education2008, 9(1), 1-16
2010, , 69-76
Chinese Physics Education2010, 11(1), 69-76
98 10 30 99 02 10 99 02 24
20% Fraunhofer
Fresnel
0.016 cm
652.5 nm 9 cm
9 cm 10%
50 cm 652.5 nm
0.02 cm
DiffractionNear-field diffractionFar-field
diffraction
70
Descartes
Newton
stream of particles
Huygens 16291695 Grimaldi
16181663 Hooke
16351703
700400 nm
1666
71
[1-6]
1
d
B
2
dCD
ACCD ==sin
( )LdLny
BOPOtan
72
3. LED RGB
W
1
L=50 cm
1.
750
750 USB
8
250000 /
0.1 (
1 )4.9976 +5
1.5 50 KHz
300Ma
2. 1
1. LED RGB
W
2. LED RGB
W
LED
3 6
400 500 600 700 800 Wavelength (nm)
Am
plitu
de (a
.u.)
0
1
2
3
3 LED
400 500 600 700 Wavelength (nm)
Am
plitu
de (a
.u.)
0
1
2
4 LED
400 500 600 700 800 Wavelength (nm)
Am
plitu
de (a
.u.)
0
1
2
3
5 LED
73
652.5 nm
7
LED
3. LED RGB
8
1
L=50cm = 652.5 nm
9
0.02 cm
0.016 cm
0 cm 0.8 cm 10
7
0.8
cm 9 cm 11
L=9
cm 12
12 1
10%
20%
12
400 500 600 700 800 Wavelength (nm)
Am
plitu
de (a
.u.)
1
0
6 LED
400 500 600 700 800 Wavelength (nm)
Am
plitu
de (a
.u.)
0
1 0
2
3
4
7
8
8.
00.20.40.60.8
11.21.41.61.8
2
0 0.04 0.08 0.12 0.16 0.2 0.24 0.28 0.32
(cm)
0.1cm0.008cm0.016cm0.2cm0.3cm0.02cm0.025cm
9
74
0.075 0.080 0.085 0.090 Position (cm)
Inte
nsity
(a.u
.)
0
20
10
30
Inte
nsity
(a.u
.)
80
40
00.00 0.005 0.010 0.015
Position (cm) 10 11
0.01 0.03 0.05 0.07 0.09 Position (cm)
Inte
nsity
(a.u
.)
0
10
20
30
12
1L= 50 cm
L(cm) n d(cm) y(cm)(cm)
%
50 1 0.01 0.45 0.00009000 0.00009111 39.63%
50 2 0.01 0.9 0.00009000
50 3 0.01 1.4 0.00009333
2L= 90 cm
L(cm) n d(cm) y(cm)(cm)
%
90 1 0.01 0.85 0.00009444 0.00009167 40.48%
90 2 0.01 1.65 0.00009167
90 3 0.01 2.4 0.00008889
90 4 0.01 3.3 0.00009167
75
13
750
652.5 nm 0.016
cm 9 cm
9 cm
10%
20%
1.
vol. 11, No. 1,
pp9-14(2002)
2. 2002
185~186.
3. 1988
1-60
4. 2006
106-119
5. Ajoy Ghatak (2009). Optics. Mcgraw-Hill,
18.3-20.20.
6. David Halliday, Robert Resnick, Jeart Walker
(2001). Fundamentals of Physics. Wiley,
861-896.
7. Harris Benson 1995 University
Physics.Wiley, 761-786.
13. 40 10
76
Study of single-slit diffraction
Cheng-Nan Tsai Shun-Hsing Wang Cheng-Han Zhou Jian-Rong Wu Yao-Tsung Lin Cheng Shiu University
Abstract
The experiment of single-slit diffraction is one of the important physics experiment to
introduce the wave optics. Using eye-measurement of tradition method to record the bright and dark point of single-slit diffraction, the experimental results indicate that the wavelength error percentages are over 20%. This analysis is the far-field diffraction (Franhofer diffraction). Another diffraction is near-field diffraction (Fresnel diffraction) which can not be analyzed by eye-measurement method.
This research analyses the conditions of influenced the single-slit using the computerization. At first, we change the distance between slit and detector to find out the relation of non-diffraction, near-filed diffraction, and far-field diffraction. For the 0.016 cm-slit width, using He-Ne laser with 652-nm wavelength to pump, the critical distance is 9 cm. If the distance less than the critical distance indicates the near-field diffraction, otherwise, it indicates the far-filed diffraction. Computerization indicates that the wavelength error percentages are less than 10%. Second, we analyze the relations between slit width and the diffraction. For the 50 cm distance, the width of slit must less than 0.02 cm which can be clear to find out the far-field diffraction. Third, the color mixture or separate experiments are good for understanding consists of three primary color. The single-frequency light can successfully structure the far-field diffraction experiment.
Key words: diffractionnear-field diffractionfar-field diffraction