Traveling Wave Equals Sum of Stationary Modes

This shows how a traveling wave is formed by a sum of vibrational modes, starting with a single mode, then adding in a second and third, etc., up to twenty. Modes are rainbow colored, and the sum is black. The modes only move up and down in a particular way, but the sum moves along as if on a stretched string.
For you mathies, this is a Fourier series solution to the wave equation, not a simulation.

Category:

Film & Animation

Tags:

• oscillation
• wave
• math
• animation

[basketballman169]

That is the most incredible thing I ever saw.

[rayoplayin]

@basketballman169 Hey, thanks! maybe i should get back into this.

[xbrEra]

Neat, how did you make it?

[rayoplayin]

@xbrEra i was taking a PDE class, and wanted to see the equations we were solving. It's coded from scratch in C++, and the frames are assembled using VideoMach.

[starrynightuk]

superb demonstration, thanks! :)

[rayoplayin]

glad you liked it. thanks for making the first comment on it!

[KakHazhar]

Aw man that was just so beautiful!

[HorizonDelta]

Good video ! More Tesla tech in video: "Wonderful electricity" by HorizonDelta ;-)