2016/12/14 by I.V. Dovgan, Dovgan, I. V., K. B. Oganesyan +1 · 4 citations
Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics
paper · pdf · doi:10.48550/arxiv.1612.04608
openalex publication_date 2016/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The equations of particle motion in the FELWI are derived using Hamiltonian formalism. In small signal regime the uncoupled one dimensional phase equation is derived in the form of pendulum equation. For the practical estimations the same equation along with the equation of particle energy change are solved using perturbation theory and the expressions for gain in FEL regime and particle angle dependence of energy at the exit of first undulator are obtained. Results for gain, particle phase and energy change depending on device and beam parameters are presented.