video thumbnail 29:23
You can't explain prisms without understanding springs | Optics puzzles part 3

2023-11-30

[public] 281K views, 44.0K likes, dislikes audio only

channel thumb3Blue1Brown
4K

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

Thanks to these viewers for their contributions to translations

German: Ole

Hebrew: Alon Altman, Omer Tuchfeld

Hindi: Saurabh

Portuguese: @doryhelioaires

Urdu: Momini0

------------------

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


The standard explanation
/youtube/video/KTzGBJPuJwM?t=0
The plan
/youtube/video/KTzGBJPuJwM?t=194
Phase kicks
/youtube/video/KTzGBJPuJwM?t=309
What causes light?
/youtube/video/KTzGBJPuJwM?t=505
Adding waves
/youtube/video/KTzGBJPuJwM?t=800
Modeling the charge oscillation
/youtube/video/KTzGBJPuJwM?t=1000
The driven harmonic oscillator
/youtube/video/KTzGBJPuJwM?t=1259
End notes
/youtube/video/KTzGBJPuJwM?t=1617
The reason light slows down in water is complicated (part 2) 15,030 views
youtube.com/watch?v=uo3ds0FVpXs
Mathematical Quotebook Notebook store.dftba.com
https://store.dftba.com/collections/3blue1brown/products/mathematical-quotebook-notebook