Superposition of Two Sine Waves with Sum and Beats

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows the sum and the envelope of the beat for two sine waves. You can change the frequencies of either wave or modulate the amplitude or phase of the second wave.


The buttons A, B, C, …, L are presets. They show some typical situations that may be freely used for further investigations. The notebook being quite complex with all its possibilities, the presets illustrate how it is possible to reduces redundancies by switching off some waves or the filling. Stepping through the presets while analyzing the parameters and the obtained results lets you see the most interesting cases of adding two sine waves.


Contributed by: Arthur Stammet (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.