Standing waves may
be created from two waves (with equal frequency, amplitude and wavelength)
travelling in opposite directions. Using superposition, the resultant wave
is the sum of the two waves. The animation below shows that the net result
alternates between zero and some maximum amplitude. Unlike the travelling
waves, the standing waves do not cause a net transport of energy (because
the two waves which make them up are carrying equal energy in opposite
directions).
Notice that the particles
right at the edge of the standing wave do not move. Points like this are
called displacement nodes. This is what happens
when an acoustic wave is reflected between two hard walls. The location
where particle displacement is at a maximum is called a displacement
antinode. Notice also
that at a displacement node, the pressure
variation is at a maximum, and so, a displacement node is also a pressure
antinode. Similarly, a pressure node is also a displacement antinode.
It might be thought that it
would be difficult to produce the two travelling waves that are identical
except that they travel in opposite directions. However, this can readily
be done using reflection and this is the case with many common systems for
generating standing waves, as will be explained in the next section.
|