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Nonlinear theory of a quadrupole free-electron laser

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2 Author(s)
T. Antonsen ; Lab. for Plasma and Fusion Energy Studies, Univ. of Maryland, College Park, MD, USA ; B. Levush

The nonlinear motion of electrons in a quadrupole free-electron laser is analyzed. If the betatron frequency is close to the mismatch frequency, the three-dimensional nonlinear equations can be reduced to an integrable one-dimensional equation. To enhance the efficiency, a tapered wiggler is introduced and the electron orbits in a tapered quadrupole free-electron laser are analyzed. The conditions for the particles to remain trapped as the heat wave decelerates are found.

Published in:

IEEE Journal of Quantum Electronics  (Volume:23 ,  Issue: 9 )