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[en] The stability of a one-dimensional (1D) charged particle beam is studied, based on the waterbag model. The eigen-frequencies of the beam-plasma oscillation modes in a continuous focusing channel are obtained in a fully analytic manner, starting from the linear- and nonlinear-approximate Hamiltonians in the stationary state. The beam stability property in a periodic focusing system is also explored to give an analytic description of structure resonances. (orig.)
Journal
Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment; ISSN 0168-9002; 
; CODEN NIMAER; v. 332(1-2); p. 1-22
; CODEN NIMAER; v. 332(1-2); p. 1-22