Laser Diode Principles: Stimulated Emission & Voltage

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Goodver
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As far as I understand, when forward biased voltage applied, electrons from N diffuse to P, then recombine. Since energy gap between conductive electron and hole is const => only certain wavelength photons is emitted.

In gaseous lasers for example you need to gain a populational inversion, which requires to have a certain energy levels, including one of them to be metastable.

How the stimulated emission works for laser diodes?
 
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By the way, the formal name for the semiconductor equivalent of population inversion which is discussed in the PDF linked by UltrafastPED is the Bernard-Duraffourg condition. If you need more details, that is the term to look for.
 
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