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In this video I sketch out a basic proof of Bloch's theorem in crystals and also talk about where it breaks down and why we might want to use it.

This is part of my graduate series on optoelectronics / photonics, and is based primarily on Coldren's book on Lasers as well as graduatelevel 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.