By Topic

Large-signal field analysis of an O-type travelling wave amplifier. Part 3: Three-dimensional electron motion

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $33
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
N. Kalyanasundaram ; Regional Engineering College, Department of Electronics and Communication Engineering, Tiruchirapalli, India ; R. Chinnadurai

A large-signal field analysis of an O-type travelling-wave amplifier employing a practical focusing-field arrangement is presented, based on a coupled Eulerian-Lagrangian formulation of the problem. The resulting three-dimensional electron trajectories give rise to a beam that varies with the axial co-ordinate and time. It is shown that the boundary conditions on the moving (a priori unknown) beam boundary can be automatically satisfied by redefining the charge and current densities for all values of the radial co-ordinate. The key step in the analysis is a representation of the field components as functions of the electron-arrival time and the electronradial position, through a sequence of Green's functionals for the slow-wave circuit. Substitution of this representation into the electron ballistic equations reduces the latter to a fixed-point problem for a pair of operators in an appropriate function space. The fixed point, and therefore the solution for the electromagnetic field components, can be obtained by standard successive approximation techniques. Finally, it is shown that when the radial component of the focusing magnetic field vanishes and its axial component becomes constant, the electron trajectories degenerate to straight lines parallel to the tube axis.

Published in:

IEE Proceedings I - Solid-State and Electron Devices  (Volume:135 ,  Issue: 3 )