“…Electron lenses in pulsed operation, enabled by the availability of high voltage modulators with fast rise times, can be synchronized with individual proton bunches or subsets of bunches and provide highly selective effects for each subset; electron beam stability: in a typical electron lens configuration, electrons are produced at the cathode of an electron gun and right after passing the interaction area get damped in a collector; thus, fresh electrons interact with the high-energy particles on each turn, leaving no possibility for coherent instabilities, similar to those that are driven by the electron clouds or other insufficiently controlled charge formations. Such richness and flexibility of the electron lenses have attracted researchers, leading to many inventive proposals, studies and theses, such as, e.g., [7][8][9][10][11][12][13][14][15]. The use of focusing space-charge forces of magnetically confined electron cloud in beam transport lines was first proposed by Gabor in 1947 [16] -see figure 3a.…”