Nonlinear theory of the stimulated scattering of waveguide modes by a relativistic electron beam focused by a longitudinal magnetic field  Basic equations
Abstract
The paper obtains a selfconsistent system of equations describing the stimulated scattering of E and H waves by a tubular relativistic electron beam focused by a longitudinal magnetic field. It is considered that this field suppresses transverse drift due to the inhomogeneities of these waves without freezing the electron oscillations in the signal and pump fields. It is shown that, at a sufficiently large value of the focusing field where the averaged motion of the electrons is onedimensional, these equations coincide with an accuracy to constant coefficients with equations describing the scattering of plane homogeneous TEM waves by a homogenenous unbounded electron beam. The intrinsic field of a bunched electron beam moving in a circular waveguide is analyzed.
 Publication:

Radiotekhnika i Elektronika
 Pub Date:
 December 1984
 Bibcode:
 1984RaEl...29.2419G
 Keywords:

 Free Electron Lasers;
 Magnetic Fields;
 Relativistic Electron Beams;
 Wave Scattering;
 Waveguide Lasers;
 Electromagnetic Scattering;
 Electron Distribution;
 Electron Oscillations;
 Nonlinear Equations;
 Self Consistent Fields;
 Lasers and Masers