Lord of the memes

Since the beam reduces the objects into particles and reconstructs it, doesn't it imply that it's able to destroy the ring in the first place? I guess it's necessary to get rid of the particles to make it so they can't re-build it again. But that does raise the question: Would the ability to reconstruct the ring affect one the same way the ring itself would? Or does the ring need to exist to exert its power?