| (t=0) |  |
| (t=T/16) |  |
| (t=T/8) |  |
| (t=3T/16) |  |
| (t=T/4) |  |
| (t=5T/16) |  |
| (t=3T/8) |  |
| (t=7T/16) |  |
| (t=T/2) |  |
| (t=9T/16) |  |
| (t=5T/8) |  |
| (t=11T/16) |  |
| (t=3T/4) |  |
| (t=13T/16) |  |
| (t=7T/8) |  |
| (t=15T/16) |  |
| (t=T) |  |
The sum waves that are possible representations of the standing wave
formed by the two component waves include, in order of time as shown
below: (a), (j), (c), (o), (l), (f) (n), (k), and (i). The sum waves are
seen below, along with the time intervals at which they were added, in
units of one period T. The sum wave has been continued through one full
period. The sum waves, along with the two component waves at each instant
in time, can be seen in more detail by clicking your mouse on any of the
linked (blue outlined) component waves in the figure.
(t=0) (t=T/16) (t=T/8) (t=3T/16) (t=T/4) (t=5T/16) (t=3T/8) (t=7T/16) (t=T/2) (t=9T/16) (t=5T/8) (t=11T/16) (t=3T/4) (t=13T/16) (t=7T/8) (t=15T/16) (t=T)
Below are shown the wave representations that are not produced as standing waves by the two component waves. Click on any of these figures to see them with their component waves. Can you see why they are not legitimate standing waves in this set?
Click here to see some legitimate standing waves produced with incorrect components. Do you understand the problems?
