Nonlinear evolution of instability and chaotic behavior of the radiation field in MILO

In terms of the equations describing motion of the electron and evolution of the radiation field, the instabilities existed in the interaction process of electrons and the field are analyzed. The results show that the development of the instability leads to the limit cycle oscillation and chaotic behavior of the radiation field. In the soft nonlinear regime, the radiation field is characterized by intermittent limit cycle oscillation; In the hard nonlinear regime, the radiation field is characterized by continuous chaotic behavior. The appearing of the unsteady states may be accelerated and repressed by the detuning. Higher output power can be obtained by optimizing the parameters.