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In this video, we figure out the rate equation for carriers in the active region of a laser in terms of the total recombination and the injection efficiency. In steady-state, this equation reduces to one that implies that the photons we get out, in the best case, is proportional to the current.
This is part of my graduate series on optoelectronics / photonics, and is based primarily on Coldren's book on Lasers as well as graduate-level coursework I have taken in the EECS department at UC Berkeley.
Hope you found this video helpful, please post in the comments below anything I can do to improve future videos, or suggestions you have for future videos.