Theoretical studies on free electron lasers
Abstract
An analytical and computational study was conducted of certain theoretical questions relating to free electron lasers (FEL's). The study was divided into five tasks: (1) a proper Hamiltonian formulation of the nonlinear equations for gainexpanded FEL's will be made and Liouville's theorem applied to these systems; (2) the analytic theory for gainexpanded FEL's will be extended to include variable property gain expanders as proposed for storage rings; (3) the results of tasks 1 and 2 will be applied, numerically if necessary, to the determination of whether a steady state gainexpanded FEL is compatible with storage ring operation; (4) the gain of a variable pitch wiggler (as a function of signal amplitude and frequency) will be studied using a single particle simulation code; (5) a fully self consistent particle and EM wave (ID) code, with provisions for treating micro bunches and providing frequency discrimination in order to consider Raman instability effects, will be developed to treat the startup and pulse formation problem for variable pitch wigglers.
 Publication:

Annual Technical Report
 Pub Date:
 August 1982
 Bibcode:
 1982arai.rept.....R
 Keywords:

 Electron Beams;
 Free Electrons;
 Lasers;
 Pulsed Lasers;
 Beams (Radiation);
 Free Electron Lasers;
 Lasers and Masers