Phys. Rev. E 69, 066501 (2004) [7 pages]Nonlocal effects in high-energy charged-particle beamsReceived 11 November 2003; published 2 June 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.066501
DOI:
10.1103/PhysRevE.69.066501
PACS:
41.85.−p, 03.65.Ca, 42.50.−p
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