I've made a shadertoy doing essentially the same thing, but forming directed beams.
Two beam version: https://www.shadertoy.com/view/NtyXDm
One beam version: https://www.shadertoy.com/view/st3XWX
Two beam version: https://www.shadertoy.com/view/NtyXDm
One beam version: https://www.shadertoy.com/view/st3XWX