Hamiltonian model of a free electron laser
Abstract
Both the Compton and the Raman regimes of a free electron laser are described by a relative hamiltonian which originates the evolution equations for 2 N + 2 canonically conjugate electron and field variables, with the space coordinate as the independent variable. Space charge and field contribution to electron transverse velocity are included. Scaled variables are introduced which allow for a description of the behaviour of the system in terms of a single electronbeam parameter.
 Publication:

Optics Communications
 Pub Date:
 January 1987
 DOI:
 10.1016/00304018(87)901246
 Bibcode:
 1987OptCo..61...55B
 Keywords:

 Free Electron Lasers;
 Hamiltonian Functions;
 Relativistic Theory;
 Compton Effect;
 Differential Equations;
 Electron Beams;
 Field Strength;
 Raman Spectra;
 Space Charge;
 Lasers and Masers