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The aberration action is the main factor in the charged particle beam formation when its phase volume is exposed to the strong deformation by means of the focusing system to decrease the beam linear dimensions in some transverse plane to the optical axis. The influence of the angular collimator allocation along the optical axis on the value of the maximum beam phase volume by its focusing by means of quadrupole probe-forming system into a spot of prescribed size is shown in this work. Since the distribution of the beam intensity in phase space is highly non-uniform, only a small proportion of the beam has both highly angular divergence and maximum energy spread of charged particles from its average. Therefore the numerical investigation of the influence of various types of correlation functions on the ion beam spot broadening is carried out. It is shown that taking into account the angular-energy correlation it gives a possibility to increase the theoretical limit of MeV energy nuclear microprobe spatial resolution in comparison with the same calculations for assumption of uniform initial beam phase density distribution. © 2008 Elsevier B.V. PACS: 41.85.p; 41.85.Gy; 41.85.Lc; 41.85.Ne

The beam control in quadrupole probe-forming systems with allowance of correlation between angular distribution and energy spread of charged particles