Describe this force field type pattern please

Not easy to say, it seems that the example you provided doesn’t generate the last picture.
As the last part of equation is Math.Pow(Math.Cos((pt[i].Y *att * noise[i] / 2) * a), 1) / 2.0 there is an effect of Y coordinate. You could add a variable say y0 to do Math.Pow(Math.Cos(((pt[i].Y-Y0) *att * noise[i] / 2) * a), 1) / 2.0

Try to deconstruct the equation to see what it outputs. I generate them a bit randomly. If it was OK I keep them but I didn’t document them (such a shame).
Power of 2
Power of 1

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