Laplace Transform Animation of y=δ(x)

Note that this never 'settles down' (converges) because the frequency is constantly increasing while the magnitude remains constant.

There is visual 'aliasing' (like how a wheel can appear to go backwards as its speed increases). This is not "real" - it is an artifact of trying to render high frequency waves. If we rendered (and played back) the video at a higher resolution, the effect would disappear.

At the very end, it appears as if the wave is just about to converge. This is not a coincidence and it isn't real. It happens because the frequency of the waves becomes too high so that we just don't see them, making the line appear to go smooth, when in reality the waves are just too close together to see.

The code is automatically calculating this point and setting our time step such that it only breaksdown at the very end of the video. If make the timestep smaller, this effect would disappear.

[bramfran]

Thanks a lot for uploading Laplace Transform animations!!!