How the index of refraction arises, and why it depends on color.Quotebook Notebooks: https://3b1b.co/storeThese lessons are primarily funded directly by viewers: https://3b1b.co/supportAn equally valuable form of support is to simply share the videos.
Looking Glass Universe videos on the index of refraction:https://youtu.be/uo3ds0FVpXs
Much of this video is based on the following Feynmann lecturehttps://www.feynmanlectures.caltech.edu/I_31.html
The explanation for why the phase of a wave produced by a plane of oscillating charges is a quarter phase behind the wave of a charge in the center of that plane, and hence a quarter phase behind that of a light wave inducing the oscillations, is given in the previous chapter:https://www.feynmanlectures.caltech.edu/I_30.html
Sections:0:00 - The standard explanation3:14 - The plan5:09 - Phase kicks8:25 - What causes light?13:20 - Adding waves16:40 - Modeling the charge oscillation20:59 - The driven harmonic oscillator26:57 - End notes
Thanks to these viewers for their contributions to translationsGerman: OleHebrew: Alon Altman, Omer TuchfeldHindi: SaurabhPortuguese: @doryhelioairesUrdu: Momini0
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These animations are largely made using a custom Python library, manim. See the FAQ comments here:https://3b1b.co/faq#manimhttps://github.com/3b1b/manimhttps://github.com/ManimCommunity/manim/
All code for specific videos is visible here:https://github.com/3b1b/videos/
The music is by Vincent Rubinetti.https://www.vincentrubinetti.comhttps://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brownhttps://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
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3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly.
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