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On the study of the interaction of inhomogeneous electron beam with plasma. Vol. 2

Abstract

The treatment of the beam-plasma instability usually studies the behaviour of the growth rate as a function of the parameters of the problem for one two oscillation modes which have the largest growth rate. however, these studies have not been completed, they did not investigate the effect of inhomogeneity of the electron beam-plasma interaction. In the present work, the linear interaction between the cold inhomogeneous electron beam-plasma system was considered. The field equation which describes the system is a differential equation of third order. In order to solve this equation to obtain the dispersion relation, the density and velocity of inhomogeneous beam in such form was considered. n{sub ob} = n{sub o} (1+X/L); V{sub ob} (X) = V{sub o} (1+X/L). Where; L is the length scale of the variation (L >>X). The growth rate of the instability was calculated. It is shown that waves are excited more strongly in this case compared to that for homogeneous beam.
Authors:
Amein, W H; Sayed, Y A; [1]  El-Waraki, S A [2] 
  1. Plasma Physics and Nuclear Fusion Department, Nuclear Research Center, Atomic Energy Aurhority, Cairo (Egypt)
  2. Faculty of Science, Physics Department, Mansura University, Damuitta, (Egypt)
Publication Date:
Mar 01, 1996
Product Type:
Miscellaneous
Report Number:
INIS-EG-002; CONF-960316-
Reference Number:
SCA: 700340; PA: AIX-28:032697; EDB-97:058923; SN: 97001766270
Resource Relation:
Conference: 6. conference of nuclear sciences and applications, Cairo (Egypt), 15-20 Mar 1996; Other Information: PBD: Mar 1996; Related Information: Is Part Of Proceedings of the sixth conference of nuclear sciences and applications. Vol. 1-4; PB: 1760 p.
Subject:
70 PLASMA PHYSICS AND FUSION; ELECTRON BEAMS; INHOMOGENEOUS PLASMA; BEHAVIOR; DENSITY; DISPERSION RELATIONS; INSTABILITY GROWTH RATES; OSCILLATION MODES; THEORETICAL DATA; VELOCITY
OSTI ID:
456190
Research Organizations:
Atomic Energy Establishment, Cairo (Egypt); Egyptian Society of Nuclear Sciences and Applications, Cairo (Egypt)
Country of Origin:
Egypt
Language:
English
Other Identifying Numbers:
Other: ON: DE97620041; TRN: EG9601737032697
Availability:
INIS; OSTI as DE97620041
Submitting Site:
INIS
Size:
pp. 21
Announcement Date:
Apr 21, 1997

Citation Formats

Amein, W H, Sayed, Y A, and El-Waraki, S A. On the study of the interaction of inhomogeneous electron beam with plasma. Vol. 2. Egypt: N. p., 1996. Web.
Amein, W H, Sayed, Y A, & El-Waraki, S A. On the study of the interaction of inhomogeneous electron beam with plasma. Vol. 2. Egypt.
Amein, W H, Sayed, Y A, and El-Waraki, S A. 1996. "On the study of the interaction of inhomogeneous electron beam with plasma. Vol. 2." Egypt.
@misc{etde_456190,
title = {On the study of the interaction of inhomogeneous electron beam with plasma. Vol. 2}
author = {Amein, W H, Sayed, Y A, and El-Waraki, S A}
abstractNote = {The treatment of the beam-plasma instability usually studies the behaviour of the growth rate as a function of the parameters of the problem for one two oscillation modes which have the largest growth rate. however, these studies have not been completed, they did not investigate the effect of inhomogeneity of the electron beam-plasma interaction. In the present work, the linear interaction between the cold inhomogeneous electron beam-plasma system was considered. The field equation which describes the system is a differential equation of third order. In order to solve this equation to obtain the dispersion relation, the density and velocity of inhomogeneous beam in such form was considered. n{sub ob} = n{sub o} (1+X/L); V{sub ob} (X) = V{sub o} (1+X/L). Where; L is the length scale of the variation (L >>X). The growth rate of the instability was calculated. It is shown that waves are excited more strongly in this case compared to that for homogeneous beam.}
place = {Egypt}
year = {1996}
month = {Mar}
}