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Selfconsistent Analysis of Radiation and Relativistic Electron Beam Dynamics in a
Self-consistent Analysis of Radiation and Relativistic Electron Beam Dynamics in a
Helical Wiggler Using Lienard-Wiechert Fields
M. Tecimer and L. R. Elias, Center for Research and Education in Optics and Lasers (CREOL) and Physics Department
University of Central Florida, Orlando FL 32826
Lienard-Wiechert (LW) fields, which are exact solutions of the Many simulation codes of free electron laser amplifiers utilize
Wave Equation for a point charge in free space, are employed a single ponderomotive potential well imposing periodic
to formulate a self-consistent treatment of the electron beam boundary conditions at the bucket ends, thus neglecting slip-
dynamics and the evolution of the generated radiation in long page effects. Based on the formalism employed here, both the
undulators. In a relativistic electron beam the internal forces evolution of the multi-bucket electron phase space dynamics in
leading to the interaction of the electrons with each other can the beam body as well as edges and the relative slippage of the
be computed by means of retarded LW fields. The resulting radiation with respect to the electrons in the considered short
electron beam dynamics enables us to obtain three dimensional bunch are naturally embedded into the simulation model.
radiation fields starting from an initial incoherent spontaneous A description of the particle and field dynamics underlying the
emission, without introducing a seed wave at start-up. In this code is outlined in section 2 followed in section 3 the numeri-
paper, we present electromagnetic radiation studies, including cal results demonstrating the evolution of the radiati
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