Combined photon and particle beam for self-focusing propulsion beam

There has been NASA development of laser (photon) beamed propulsion and particle beam propulsion. Both have scattering and focusing issues at long distances.

They are looking at optimal cooling and other issues.

There is a NIAC study of having particles trapped in photon beam where the interaction could be self-focusing. It could enable a 50 GW beam to propel a 1-kilogram spacecraft to Proxima (270,000 AU – about 4 light years).

Questions related to whether any physical law is violated related to entropy.

If this works it will also improve beamed propulsion for cubesat and in solar system missions.

It would not be usable from Earth, since it would collide with the atmosphere.