I found something related to this that may be able to help you in this situation. And you are correct that the amptitude of the sine waves at the center would certainly be lowered than compared to the amptitude at the Edges. Follow these steps to see if it can help you with this project:
Here are the steps:
- Create a new composition with a black background and add a new solid layer.
- Apply the Turbulent Noise Effect to the solid layer and adjust the settings as desired.
- Use the Wiggle Expression to add movement to the turbulence. Here is an example expression:
wiggle(5, 30)
This expression adds jitter to the movement of the turbulence. You can adjust the values to change the amount and speed of the jitter.
- Apply the Echo Effect to the layer and adjust the settings as desired. This will add a glow effect to the turbulence.
- Apply the Transform Effect to the layer. You can use this effect to adjust the position of the turbulence in X axis.
- Add a Slider Control to the Composition panel.
- Select the Transform effect on the layer and click on the stopwatch icon to add the expression. Use the following expression:
value + (3 * (pickwhipping_range))
This expression will add the value of the slider control to the original position of the turbulence. The value “3” is a random value used as a multiplier. You can adjust it to control the speed of the movement.
- Add a new Null object to the composition and name it “pickwhipping_range”.
- Select the Null object and click on the pick whip tool (it looks like a double-ended arrow).
- Hold down the Alt key (or Option key on a Mac), click on the position property of the transform effect on the layer, and drag it to the pick whip button on the Null object.
- The position property of the transform effect on the layer is now pick-whipped to the pick whipping range on the Null object.
- You can now animate the position property of the Null object along the X axis to control the position of the turbulence.
Hopefully these will help you, if any questions, you can let me know just incase!