Threedimensional relativistic fieldelectron interaction in a multicavity highpower klystron. 1: Basic theory
Abstract
A theoretical investigation of three dimensional relativistic klystron action is described. The relativistic axisymmetric equations of motion are derived from the timedependent Lagrangian function for a charged particle in electromagnetic fields. An analytical expression of the fringing RF electric and magnetic fields within and in the vicinity of the interaction gap and the spacecharge forces between axially and radially elastic deformable rings of charges are both included in the formulation. This makes an accurate computation of electron motion through the tunnel of the cavities and the drift tube spaces possible. Method of analysis is based on Lagrangian formulation. Bunching is computed using a disk model of electron stream in which the electron stream is divided into axisymmetric disks of equal charge and each disk is assumed to consist of a number of concentric rings of equal charges. The Individual representative groups of electrons are followed through the interaction gaps and drift tube spaces. Induced currents and voltages in interacting cavities are calculated by invoking the ShockleyRamo theorem.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 April 1982
 Bibcode:
 1982STIN...8222439K
 Keywords:

 Cavity Resonators;
 Electromagnetic Fields;
 Electron Trajectories;
 Klystrons;
 Magnetic Fields;
 Particle Motion;
 Relativistic Particles;
 Bypasses;
 Coordinates;
 Electric Potential;
 Electron Bunching;
 EulerLagrange Equation;
 Space Charge;
 Electronics and Electrical Engineering