Analysis of the steady-state orbit in the free-electron laser based on a two-frequency wiggler

초록

In the free-electron laser, the stability of the electron orbit plays an important role in obtaining high-power radiation, and the two-frequency wiggler is known as one method to improve the stability of the electron orbit. In this paper, we study the stability of relativistic electron orbits in a realizable, helical, wiggler magnetic field based on the two-frequency wiggler including the self-generated field. The solutions for the steady-state orbits are numerically calculated from the Hamiltonian which is canonically transformed by using a generating function. To investigate the regular and the chaotic states of off-axis electron orbits, we use a numerical method to analyze the Poincare maps, the spectrum of electron orbits, and the maximal Lyapunov exponent. © 2016, Korean Physical Society. All rights reserved.

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