Wave Propagation

[CMLaneLV]

Hey look! It's the infinite harmonic series

[nippie96]

the Fourier components do not seem to change their phase. Does the "red" wave propagate just by adjusting the amplitude of its spectral components?

[mike40033]

@nippie96 Yes, just the amplitude changes. Each line shows a particular solution to the wave equation. The fourier components are standing waves. Add them up in particular proportions, and you can get any solution you like

[glumpytumpy]

how long did this take to render

[sparcer1]

this is for people who took differential equations in college. This is fourier analysis.

Sum of all the waves in one wave.

[lisuraoi]

is this a compilation of waveforms with different wavelengths?

[Plutoniummatt]

if you bothered reading the description, its the solution to the red wave broken down into its Fourier components

[expert3vision]

it looks like a potential barrier

[Artemiskova]

This isn't anything but a pile of waveforms? Hurray for piles of waveforms...

[p4radok]

is this the solution to the maxwell equation?

[mike40033]

No, just the 1-D wave equation.

[AerialMage]

@mike40033 1D waves? i'd like to see you try getting away with a wave which only has a length?

*yes, i know, you mean waves where particles only move up and down*

[995715202]

fourier series expansion of n terms displaying all that makes up the soultion of a wave along a string in one dimension. Or could it be be a wave in an infinite well?

[spleenblender]

A loop.

[Aro2220]

that's beautiful

[KarlNemetski]

As applied to soliton waves from explosions.

[notfallingasleep]

What software did you use to make this? I love it. 've replayed a number of times.

[themanyone]

Not sure this is the best solution but I could do this on Linux using GPL software, Blender or PyGTK. A Python reference and rudimentary programming experience would be helpful. Other languages will work but I think Python is more "RAD".