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Nonlocal effects in high-energy charged-particle beams
Pontus Johannisson1, Dan Anderson, Mietek Lisak
1Department of Electromagnetics, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden. pontus.johannisson@elmagn.cjhalmers.se
Abstract:
Within the framework of the thermal wave model, an investigation is made of the longitudinal dynamics of high-energy charged-particle beams. The model includes the nonlinear self-consistent interaction between the beam and its surroundings in terms of a coupling impedance, and when resistive as well as reactive parts are included, the evolution equation becomes a generalized nonlinear Schrödinger equation including a nonlocal nonlinear term. The consequences of the resistive part on the propagation of particle bunches are examined using analytical as well as numerical methods.
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