laser physics i - university of alabama at birminghampeople.cas.uab.edu/~mirov/lectures 3-4 ch2 fall...
TRANSCRIPT
![Page 1: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/1.jpg)
1
Laser Physics I PH481/581-VT (Mirov)
Optical Frequency Amplifiers
Lectures 3-4 chapter 2
Fall 2015C. Davis, “Lasers and Electro-optics”
![Page 2: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/2.jpg)
2
Optical Frequency Amplifiers
![Page 3: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/3.jpg)
3
Homogeneous Line Broadening
![Page 4: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/4.jpg)
4
![Page 5: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/5.jpg)
5
![Page 6: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/6.jpg)
6
e(+iot
![Page 7: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/7.jpg)
7
![Page 8: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/8.jpg)
8
![Page 9: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/9.jpg)
9
Inhomogeneous Broadening
![Page 10: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/10.jpg)
10
![Page 11: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/11.jpg)
11
![Page 12: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/12.jpg)
12
![Page 13: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/13.jpg)
13
![Page 14: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/14.jpg)
14
Homogeneous Line Broadening
![Page 15: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/15.jpg)
15
Inhomogeneous Broadening
![Page 16: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/16.jpg)
16
Optical Frequency Amplification with a Homogeneously Broadened Transition
B21
![Page 17: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/17.jpg)
17
‘Pump area
Z2
'212
22 1
1
Cross section of emission ( , )8c A g
gN Ng
![Page 18: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/18.jpg)
18
![Page 19: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/19.jpg)
19
The Stimulated Emission rate in a Homogeneously Broadened Transition
2'21
21 3( ) ( , )8
eA c I IW gh h
![Page 20: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/20.jpg)
20
Optical Frequency Amplification with Inhomogeneous Broadening
![Page 21: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/21.jpg)
21
![Page 22: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/22.jpg)
22
L
• – ’ : distance from line center• L : Lorentz half-width• D : Doppler half-width
2
'2 2
'
2 ln 2( , ) Normalized Voight Profile( )
2( ) ln 2 2 ln 2ln 2 , , and ,
where is shift in central frequency due to molecules collision
t
D
L
D D D
y eg dty x t
y x t
![Page 23: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/23.jpg)
23
Optical Frequency Oscillation - Saturation
![Page 24: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/24.jpg)
24
![Page 25: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/25.jpg)
25
![Page 26: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/26.jpg)
26
![Page 27: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/27.jpg)
27
![Page 28: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/28.jpg)
28
Power output from a laser amplifier
![Page 29: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/29.jpg)
![Page 30: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/30.jpg)
30
Inhomogeneous system
![Page 31: Laser Physics I - University of Alabama at Birminghampeople.cas.uab.edu/~mirov/Lectures 3-4 ch2 fall 2015.pdf · Laser Physics I PH481/581-VT (Mirov) Optical Frequency Amplifiers](https://reader030.vdocuments.net/reader030/viewer/2022032712/5b8a4be07f8b9aa81a8e3935/html5/thumbnails/31.jpg)
31