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The generation of harmonics of the electron cyclotron half-frequency in a double-beam interaction experiment; Generation d'harmoniques de la demi-frequence giromagnetique electronique dans un systeme 'double-faisceau'

Abstract

The generation of harmonics of the electron cyclotron half-frequency in a double-beam interaction experiment has been studied. A theoretical discussion is presented in which the transverse velocity distributions are represented by Dirac delta functions. The experimental measurements show the structure of the waves generated, for the fundamental mode (( {omega}={omega}/2).ce), i. e., their azimuthal wave number, wave length and radial profile of the oscillating potential, density and current. The quasi-electrostatic character of these waves has been established from these results by evaluating the ratio: vectorial product ({nabla}, E) / scalar product ({nabla}, E) which is always much smaller than unity. Measurements have also been made of the amplitudes and line-widths of several harmonics as well as the growth rate of the first of them. Finally, a number of observations have been made which show that nonlinear wave interactions play an important role in this system and which suggest an interpretation based on this mechanism for the generation of high order harmonics. (author) [French] Nous presentons les resultats obtenus sur la generation d'harmoniques de la demi-frequence giromagnetique electronique dans une experience interraction 'double-faisceau'. Nous discutons theoriquement ce systeme dans lequel les vitesses transversales sont introduites sous forme de distributions de Dirac.  More>>
Authors:
Olivain, J [1] 
  1. Commissariat a l'Energie Atomique, Fontenay-aux-Roses (France). Centre d'Etudes Nucleaires
Publication Date:
Jun 01, 1966
Product Type:
Thesis/Dissertation
Report Number:
CEA-R-3075
Resource Relation:
Other Information: TH: These physique des milieux ionises; 41 refs; PBD: Jun 1966
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BEAM-BEAM INTERACTIONS; ELECTRON CYCLOTRON-RESONANCE; HARMONICS; LANDAU DAMPING; MAGNETIC FIELDS; PLASMA
OSTI ID:
20622003
Research Organizations:
CEA Fontenay-aux-Roses, 92 (France); Faculte des Sciences de l'Universite de Paris, 75 (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR05R3075065654
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
[108] pages
Announcement Date:

Citation Formats

Olivain, J. The generation of harmonics of the electron cyclotron half-frequency in a double-beam interaction experiment; Generation d'harmoniques de la demi-frequence giromagnetique electronique dans un systeme 'double-faisceau'. France: N. p., 1966. Web.
Olivain, J. The generation of harmonics of the electron cyclotron half-frequency in a double-beam interaction experiment; Generation d'harmoniques de la demi-frequence giromagnetique electronique dans un systeme 'double-faisceau'. France.
Olivain, J. 1966. "The generation of harmonics of the electron cyclotron half-frequency in a double-beam interaction experiment; Generation d'harmoniques de la demi-frequence giromagnetique electronique dans un systeme 'double-faisceau'." France.
@misc{etde_20622003,
title = {The generation of harmonics of the electron cyclotron half-frequency in a double-beam interaction experiment; Generation d'harmoniques de la demi-frequence giromagnetique electronique dans un systeme 'double-faisceau'}
author = {Olivain, J}
abstractNote = {The generation of harmonics of the electron cyclotron half-frequency in a double-beam interaction experiment has been studied. A theoretical discussion is presented in which the transverse velocity distributions are represented by Dirac delta functions. The experimental measurements show the structure of the waves generated, for the fundamental mode (( {omega}={omega}/2).ce), i. e., their azimuthal wave number, wave length and radial profile of the oscillating potential, density and current. The quasi-electrostatic character of these waves has been established from these results by evaluating the ratio: vectorial product ({nabla}, E) / scalar product ({nabla}, E) which is always much smaller than unity. Measurements have also been made of the amplitudes and line-widths of several harmonics as well as the growth rate of the first of them. Finally, a number of observations have been made which show that nonlinear wave interactions play an important role in this system and which suggest an interpretation based on this mechanism for the generation of high order harmonics. (author) [French] Nous presentons les resultats obtenus sur la generation d'harmoniques de la demi-frequence giromagnetique electronique dans une experience interraction 'double-faisceau'. Nous discutons theoriquement ce systeme dans lequel les vitesses transversales sont introduites sous forme de distributions de Dirac. Les mesures experimentales ont permis, par le mode fondamental (({omega}={omega})/2.ce), de connaitre la structure des ondes engendrees (nombre d'onde 2 azimutal - longueur d'onde - profil radial du potentiel oscillant, amplitude des perturbations de potentiel, de densite et de courant). Le caractere quasi-electrostatique de ces ondes a pu etre etabli a partir de ces resultats en evaluant le rapport: produit vectoriel ({nabla}, E) / produit scalaire ({nabla}, E) qui reste toujours tres inferieur a l'unite. Les mesures ont egalement porte sur l'amplitude et la largeur des raies ainsi que sur le taux de croissance des premiers harmoniques. Nous avons decrit enfin quelques observations mettant en evidence le role important des effets non lineaires d'interaction d'ondes dans ce systeme et suggerant une interpretation de la generation d'harmoniques de rang eleve liee a ces mecanismes. (auteur)}
place = {France}
year = {1966}
month = {Jun}
}