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Lecture 8: Laser amplifiers

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Transition cross section<br />

<br />

<br />

<br />

For the ideal Lorentzian lineshape in a homogeneously<br />

broadened medium<br />

ĝ() <br />

h<br />

2[( 21<br />

) 2 ( h<br />

/2) 2 ]<br />

The peak value of the lineshape occurs at the center of the<br />

spectrum and is a function of linewidth h only.<br />

2<br />

gˆ ( <br />

21)<br />

<br />

<br />

Thus, the peak value of the emission cross section at the<br />

center wavelength of the spectrum<br />

<br />

e<br />

h<br />

h<br />

2<br />

<br />

2<br />

4<br />

n <br />

<br />

2<br />

sp<br />

33

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