Two nonlinear models of the Free Electron Laser
Kiel, David H.
Colson, William B.
MetadataShow full item record
The dynamics of the Free Electron Laser are governed by Maxwell's equations which causes many highly nonlinear regimes to exist in Free Electron Laser Physics. This thesis will examine two such areas and develop simple models to describe the highly dynamic and rich behavior two of these regimes. In the strong-field, high current regime, the Free Electron Laser driving current can be modeled by a single macroparticle representing the trapped electrons. When the trapped electrons act collectively as a macroparticle, solutions which include synchrotron oscillations can be found for the self-consistent pendulum and wave equations. In an FEL oscillator with low single-pass gain, the evolution of the optical wave can lead to sideband development. This phenomenon is studied by applying Maxwell's equations to an oscillator with two optical modes and deriving a two-mode wave and pendulum equation. The two-mode wave and pendulum equations are implemented numerically on computers so that the onset of the sideband can be explored.
Approved for public release, distribution is unlimited
Showing items related by title, author, creator and subject.
Harding, Richard Warren (Monterey, California. Naval Postgraduate School, 1981);In a space booster on takeoff, a control system must be employed to prevent the rocket from falling over as it is forced upward by the engines. One accurate dynamic model of the space booster on takeoff is the inverted ...
Bradford, Ellen M. (Monterey, California: Naval Postgraduate School, 2017-06);The inverted pendulum, a popular problem of study, is presented in many textbooks as a nonminimum phase system. The majority of control algorithms for this problem include linearizing the system about a fixed operating ...
Cord, Gregory A. (Monterey, California. Naval Postgraduate School, 1991-06);The Stanford Free Electron Laser (FEL), like many FELs is driven by extremely short electron pulses which drive equally short optical pulses. Simulations of the Stanford FEL describe the trapped-particle instability ...