In the damped sine wave equation, does energy correspond to Amplitude and volume correspond to Wavelength? Wave form and propagation are probably among the most studied and best understood aspects of physics so the answers we seek are certainly well documented in textbooks.
But for the lazy artist trying to visualize ripples, consider this waking insight:
The white curves are a result of plotting the damped sine curves for each point along the X axis, then mirroring them in the YZ plane and joining the originals to their mirror images. The blue curves are the result of “time shifting” the white curves in the X direction and lopping off both ends to match the original curves.
I butchered a copy of the model I posted yesterday, leaving only the “Ripple Preview” feature to see the effect on any selected point. The white group at the bottom does the mirror/time shift thing.
ripples_2020Sep23a.gh (39.4 KB)
There must be a way to accomplish this mathematically instead of by geometric construction?