A Complex Wave in One Dimension

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This Demonstration shows complex waves of varying shape, amplitude, frequency, phase velocity, and group velocity, moving in one dimension.

Contributed by: Cedric Voisin (July 2012)
Open content licensed under CC BY-NC-SA


Snapshots


Details

This Demonstration shows the complex wave that is the sum of five waves , :

.

The real and imaginary parts of are plotted against : .

The phase velocity is given for waves 1 () and 5 ().

The group velocity is approximated by and is only valid with "beat" or "wave packet" selected.



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