I think this requires a 3D effect rather than a 2D effect like Radio Waves. You might be able to achieve something like this using Trapcode Form.
Adding a bit more detail:
Make a radio wave using a black background and white waves.. Make the white waves quite thick, and have the radio waves start on the left of the screen.
Precomp the radio waves into their own comp
Ini the outer comp, add a blur to make the waves fall off gently instead of being hard black/white transitions.
Duplicate the inner comp in the Project tab, to make a second unique version of the comp
Drag this second comp into your main comp
Edit the origin position of the second radio wave comp, so that the second one starts towards the right of the screen.
You should now have something like this:
Make a new solid layer in your outer comp
Add Trapcode Form to it
Set it up using Strings, using settings as shown:
Key thing is to set the Displacement on the Z axis to correspond to the radio waves pre-comp you've made (and make the radio waves pre-comp invisible).