# Interference of Sinusoidal Waveforms

Author: Konstantin Lukin

*Project Java Webmaster: Glenn A. Richard*

Mineral Physics Institute

SUNY Stony Brook

### How to Use this Applet

For slower machines, you may want to try the fast version
of this applet.

A three-wave version of the applet
is also available.

A bidirectional version of the
applet is also available.

The two green curves are parallel sinusoidal waveforms that have identical wavelengths,
amplitudes, and phases when the applet initializes. The blue sinusoidal waveform at the
bottom is the sum of the two green parallel waveforms. You can change the phase of the
green sinusoidal waveforms by dragging the circles at the left end of the waveform. You
can change the wavelength and the amplitude by dragging the other two circles. The sliders
to the right of the waveforms offer alternative means of making similar changes.

To animate the waveforms, click on the animate checkbox, and to stop the animation,
click again. In order to change the speed of the animation of the two green waveforms, you
can use the sliders on the lower right, but you must halt the animation in order to adjust
the speed. Once your speeds are selected, start the animation again. The speeds are
actually phase velocity. In other words, when the two green waveforms animate at equal
speeds, each one will advance by an equal number of wavelengths during a given amount of
time. Therefore, if they are set to the same speed, but different wavelengths, the
waveform with the longer wavelength will advance faster than the other one.

### Mathematical Concepts

- Sinusoidal waveforms
- Waveform amplitude
- Wavelength
- Waveform summation
- Phase relationships

### Source Code

### Zip File

*Last modified on June 25, 2007*

**[More Applets: Project Java Home] . [Wave Interaction - fast version]** **. [Wave Interaction - bidirectional version]**