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Here I derive the ray transfer matrix for the thin lens from the transfer matrix for refraction at a curved surface. When we do so, what we actually get is the lensmaker's equation, which gives us the focal length of the lens.
This is part of my series on semiconductor physics (often called Electronics 1 at university). This is based on the book Semiconductor Physics and Devices by Donald Neamen, as well as the EECS 170A/174 courses taught at UC Irvine.
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.