Superposition of waves

Applet by Fu-Kwun Hwang

Instructions on how to use the animation below:

When two or more wave moving through the same region of space, the waves will superimpose and produce a combined wave. Waves maintain their integrity upon overlapping (without themselves being permanently changed).

Blue colored wave + green colored wave = red colored wave. The blue wave is moving toward right, with a fixed frequency f.

Press the -/+ button to change the direction of the green wave.

Two waves with the same frequency and amplitude but opposite directions yields a standing wave. What about two waves with different amplitudes?

Text Field input:
Wavelength: enter wavelength λ for blue/yellow waves.
Frequency: enter frequency f for blue/yellow waves.

We can calculate the wave speed as v = λf

Change parameters with the mouse.

Change phase between two waves:
Move mouse near the center line, click mouse button and drag it left or right
Change amplitude for each wave:
Move mouse near the highest point of wave, click mouse button and drag it up and down.

Suspend the animation: click the mouse button. If you left-click, the animation will resume when you release the button. If you right-click, the animation will resume when you right-click again.

Click mouse button twice quickly to change the time scale:

Left mouse button: slow down by a factor of 1.5
Right mouse button: faster by a factor of 1.5