Smoke beams and world position texture

Hey all,

I have a bunch of fake light beams spawned in my scene, using a material with soft texture to mimic a smoky environment like this:


What if I want the smoke screen to kinda spread across all the beams evenly, instead of each beam by itself? I tried using World Position XY but it doesn’t look right.

Is it possible? while still controlling the smoke texture size? Thanks a lot