By using a hamiltonian formulation we develop a consistent set of equations for the motion of electrons in the field produced by radiation and the wiggler. We treat the coupled electron-field equations in the linear and high-gain regimes, both analytically and numerically, and investigate the start-up of the free electron laser from noise. Comparison with previous theories shows that the differences in lethargy times and gains can be as large as 30%.
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Physical and Theoretical Chemistry
- Electrical and Electronic Engineering