You can't explain prisms without understanding springs | Optics puzzles part 3
How the index of refraction arises, and why it depends on color.
Quotebook Notebooks: https://3b1b.co/store
These lessons are primarily funded directly by viewers: https://3b1b.co/support
An 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 lecture
https://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 explanation
3:14 - The plan
5:09 - Phase kicks
8:25 - What causes light?
13:20 - Adding waves
16:40 - Modeling the charge oscillation
20:59 - The driven harmonic oscillator
26:57 - End notes
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These animations are largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim
https://github.com/3b1b/manim
https://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.com
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
------------------
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.
Mailing list: https://3blue1brown.substack.com
Twitter: https://twitter.com/3blue1brown
Instagram: https://www.instagram.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Website: https://www.3blue1brown.com
Quotebook Notebooks: https://3b1b.co/store
These lessons are primarily funded directly by viewers: https://3b1b.co/support
An 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 lecture
https://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 explanation
3:14 - The plan
5:09 - Phase kicks
8:25 - What causes light?
13:20 - Adding waves
16:40 - Modeling the charge oscillation
20:59 - The driven harmonic oscillator
26:57 - End notes
------------------
These animations are largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim
https://github.com/3b1b/manim
https://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.com
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
------------------
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.
Mailing list: https://3blue1brown.substack.com
Twitter: https://twitter.com/3blue1brown
Instagram: https://www.instagram.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Website: https://www.3blue1brown.com
3Blue1Brown
3blue1brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective.
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