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Lecture 8: Laser amplifiers

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Gain coefficient<br />

<br />

<br />

<br />

<br />

The average density of absorbed photons (number of photons<br />

per unit time per unit volume) is N 1 W i .<br />

Similarly, the average density of clone photons generated as a<br />

result of stimulated emission is N 2 W i .<br />

The net number of photons gained per second per unit<br />

volume is therefore NW i , where N = N 2 –N 1 is the<br />

population density difference.<br />

N is referred to as the population difference.<br />

• If N > 0, a population inversion exists, in which case the<br />

medium acts as an amplifier and the photon-flux density<br />

can increase.<br />

• If N < 0, the medium acts as an attenuator and the photonflux<br />

density decreases.<br />

• If N = 0, the medium is transparent.<br />

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