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Equilibrium and space-charge wave analysis of electron beams in conducting and absorbing gyrotron beam tunnels

Technical Report:

Abstract

The fluid equations for an electron beam are used to calculate the equilibrium velocity and density profiles, limiting current and space-charge wave properties of an annular beam undergoing magnetic compression in a gyrotron beam tunnel. Both non-relativistic and relativistic equations are derived. The beam tunnel may have a conventional smooth wall or an absorbing dielectric-loaded wall. Small values of magnetic compression are seen to have a large effect on the profiles and the current limit of a given tunnel. Common dielectric-loaded tunnels are also seen to reduce the limiting current by 5-20%. Limiting current data for a wide range of beam parameters are shown. The dispersion relation for a convective instability arising from the gradient in the equilibrium potential depression profiles is derived using the linearized fluid equations. The growth rate is seen to increase for increasing current and pitch angle, and for increasing wall effects of an absorbing tunnel. The average growth rate is calculated for a typical gyrotron beam and beam tunnel as well as for a beam entering an interaction cavity. Growth rates for all values of k{sub z} are seen to decrese for a conventional conducting beam tunnel in a constant magnetic field. (author) 13 figs.,  More>>
Authors:
Whaley, D R; Tran, M Q [1] 
  1. Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
Publication Date:
Oct 01, 1992
Product Type:
Technical Report
Report Number:
LRP-466/92
Reference Number:
SCA: 700390; PA: AIX-24:009395; SN: 93000933785
Resource Relation:
Other Information: PBD: Oct 1992
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ELECTRON BEAMS; EQUILIBRIUM; TUNNELS; ABSORPTION; DIELECTRIC PROPERTIES; DISPERSION RELATIONS; ELECTRIC CURRENTS; ELECTRON DENSITY; FLUIDS; LIMITING VALUES; MAGNETIC COMPRESSION; RELATIVISTIC RANGE; SPACE CHARGE; THEORETICAL DATA; VELOCITY; 700390; OTHER PLASMA PHYSICS STUDIES
OSTI ID:
10119937
Research Organizations:
Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
Country of Origin:
Switzerland
Language:
English
Other Identifying Numbers:
Other: ON: DE93613781; TRN: CH9200694009395
Availability:
OSTI; NTIS; INIS
Submitting Site:
CHN
Size:
[42] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Whaley, D R, and Tran, M Q. Equilibrium and space-charge wave analysis of electron beams in conducting and absorbing gyrotron beam tunnels. Switzerland: N. p., 1992. Web.
Whaley, D R, & Tran, M Q. Equilibrium and space-charge wave analysis of electron beams in conducting and absorbing gyrotron beam tunnels. Switzerland.
Whaley, D R, and Tran, M Q. 1992. "Equilibrium and space-charge wave analysis of electron beams in conducting and absorbing gyrotron beam tunnels." Switzerland.
@misc{etde_10119937,
title = {Equilibrium and space-charge wave analysis of electron beams in conducting and absorbing gyrotron beam tunnels}
author = {Whaley, D R, and Tran, M Q}
abstractNote = {The fluid equations for an electron beam are used to calculate the equilibrium velocity and density profiles, limiting current and space-charge wave properties of an annular beam undergoing magnetic compression in a gyrotron beam tunnel. Both non-relativistic and relativistic equations are derived. The beam tunnel may have a conventional smooth wall or an absorbing dielectric-loaded wall. Small values of magnetic compression are seen to have a large effect on the profiles and the current limit of a given tunnel. Common dielectric-loaded tunnels are also seen to reduce the limiting current by 5-20%. Limiting current data for a wide range of beam parameters are shown. The dispersion relation for a convective instability arising from the gradient in the equilibrium potential depression profiles is derived using the linearized fluid equations. The growth rate is seen to increase for increasing current and pitch angle, and for increasing wall effects of an absorbing tunnel. The average growth rate is calculated for a typical gyrotron beam and beam tunnel as well as for a beam entering an interaction cavity. Growth rates for all values of k{sub z} are seen to decrese for a conventional conducting beam tunnel in a constant magnetic field. (author) 13 figs., refs.}
place = {Switzerland}
year = {1992}
month = {Oct}
}