“…Neutralization and focusing of intense charge particle beams by background plasma form the basis for a variety of applications to high-energy accelerators and colliders, 1,2,3 astrophysics 4,5,6,7 , inertial confinement fusion, in particular, fast ignition 8 and heavy ion fusion, 9,10,11,12 magnetic fusion based on field-reversed configurations fueled by energetic ion beams 13 , the physics of solar flares 14 , highintensity high-energy particle beam propagation in the atmosphere and outer-space plasmas 15 , as well as basic plasma physics phenomena 16 . For instance, one of the modern approaches to ion beam compression for heavy ion fusion applications is to use a dense background plasma which charge neutralizes the ion charge bunch, and hence facilitates compression of the charge bunch against strong space-charge forces 9,10,17,18,19,20 .…”