Fluorescence of a laser vs its pulse duration

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In pulsed lasers, the fluorescence lifetime can exceed the pulse duration due to the upper-state lifetime being longer than the laser pulse itself. This phenomenon allows energy to be stored in the gain medium before lasing occurs. A population inversion is essential for effective lasing, where stimulated emission is favored over absorption. The short pulse duration results from rapid depletion of the upper state during stimulated emission, while fluorescence occurs more slowly and randomly. Understanding these dynamics is crucial for optimizing laser performance and efficiency.
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When working with a pulsed laser (nitrogen),
How can the fluorescence lifetime be longer than the pulse of the laser?

Thanks for any explanations
 
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The upper-state lifetime is always longer than the pulse in pulsed lasers. This allows you to store energy in the gain medium prior to lasing. In a laser you must be able to create a population inversion, where a photon interaction (of the correct type) is more likely to stimulate emission than be absorbed. i.e. more energy available in upper to lower state transition than vice-versa. This requires some "storage time" in the upper state.

The pulse is short because of stimulated emission. The large quantity of photons cause the upper-state to be depleted quickly during lasing. Prior to that the fluorescence (spontaneous emission) happens more slowly at more random times.

https://eng.libretexts.org/Bookshel...on,_Spontaneous_Emission,_Stimulated_Emission
 
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