Two nonlinear models of the free-electron laser. Master's thesis

Technical Report · Thu Nov 01 00:00:00 EST 1990

OSTI ID:5827204

Kiel, D H

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.

• Research Organization: Naval Postgraduate School, Monterey, CA (United States)
• OSTI ID: 5827204
• Report Number(s): AD-A-243896/8/XAB
• Resource Relation: Other Information: Thesis (M.S.)
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
FREE ELECTRON LASERS
MATHEMATICAL MODELS
COMPUTERIZED SIMULATION
DYNAMICS
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
OPTICAL PROPERTIES
OSCILLATORS
PENDULUMS
TRAPPED ELECTRONS
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
EQUIPMENT
FERMIONS
LASERS
LEPTONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
SIMULATION
426002* - Engineering- Lasers & Masers- (1990-)