Superposition of Radio Waves


We are taught to count the number of squares under two waves and add them up as the superposition wave. But are there any better ways of drawing the final superposition wave?

I just wonder if a sine wave is added with another sine wave (of different amplitude and frequency), will the resultant be another sine wave? Is there any calculations to show it? I don't take Math's so I don't know how to check it.


The superposition of two sine waves has as its amplitude at any time the sum of the amplitudes of the two component waves at that time. Simply counting the height of each component wave from a graph and adding them is an acceptable way of getting the superposition. It is quick and reasonable accurate. A more precise way involves writing the superposition wave function as the sum of the wave functions of each component. Each of the component wave functions will depend on time so you may get the value of the superposition at any time by substituting that value of time in the superposition function and calculating the superposition amplitude.

As an example of the mathematical calculation of the superposition, suppose we had two wave functions: f(t)=2*sin(2*t) and g(t)=3*sin(3*t) The superposition of these two waves of different amplitude and frequency would be: s(t)=2*sin(2*t) + 3*sin(3*t)

Now for any time t you can calculate the value of the superposition. The wave form of the superposition of waves of different amplitude and frequency is quite complicated and not easily visualized based on a graph of the component waves. It will not be a simple sine wave.