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Forming the charge particle beams with small cross-sections and low energies is an actual problem for a linac design. That beams are used actively for isotope therapy, ion implantation, etc. Beam emittance is its quality factor, and it should be matched with a facility channel acceptance. The method for beam dynamics analysis at linac is developed in terms of non-coherent particle oscillation study. Nonlinear beam dynamics is investigated by using this method. It is shown that this technique allows one to realize effective beam emittance control. Analytical results obtained are verified by means of numerical simulation.
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