SRFEL dynamics investigated with a 1-D numerical code

Designing a Storage Ring Free Electron Laser or improving the performance of an existing one first requires investigation of its longitudinal dynamics. With this aim, a 1-dimensional model, including energy spread and Microwave Instability (MI) effects, has been implemented in a numerical code. The code solves the differential equations of the longitudinal complex amplitude of the intra-cavity electric field, coupled with the differential equations describing the evolution of the electron bunch energy spread and of the MI. The agreement with experimental results of the Super-ACO FEL is also discussed.