Saturation of plasma beat waves and de-tuning of relativistic Langmuir waves

R. Bingham, R. A. Cairns, R. G. Evans

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The authors analyse the saturation mechanism for the electrostatic plasma wave excited by two electromagnetic waves, and show that the level is determined not only by the relativistic frequency shift but also by other nonlinear effects which are of the same order. The difference between this and previous results, which suggest that there is only a relativistic frequency shift, arises from the boundary conditions imposed on the plasma. They do not impose a condition of zero current as others have, but instead argue that the correct condition to be imposed is that the average Eulerian velocity be zero. The analytic results are directly checked by numerical simulation carried out using a 1-D particle in cell code showing excellent agreement between the two approaches.
LanguageEnglish
Pages1735-1740
Number of pages6
JournalPlasma Physics and Controlled Fusion
Volume28
Issue number11
DOIs
Publication statusPublished - 1 Nov 1986

Fingerprint

Plasma waves
Electromagnetic waves
frequency shift
Electrostatics
synchronism
Tuning
tuning
Cells
Boundary conditions
saturation
Plasmas
Computer simulation
plasma waves
electromagnetic radiation
boundary conditions
simulation

Keywords

  • plasma waves
  • Langmuir waves
  • saturation mechanism
  • electromagnetic waves

Cite this

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title = "Saturation of plasma beat waves and de-tuning of relativistic Langmuir waves",
abstract = "The authors analyse the saturation mechanism for the electrostatic plasma wave excited by two electromagnetic waves, and show that the level is determined not only by the relativistic frequency shift but also by other nonlinear effects which are of the same order. The difference between this and previous results, which suggest that there is only a relativistic frequency shift, arises from the boundary conditions imposed on the plasma. They do not impose a condition of zero current as others have, but instead argue that the correct condition to be imposed is that the average Eulerian velocity be zero. The analytic results are directly checked by numerical simulation carried out using a 1-D particle in cell code showing excellent agreement between the two approaches.",
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Saturation of plasma beat waves and de-tuning of relativistic Langmuir waves. / Bingham, R.; Cairns, R. A.; Evans, R. G.

In: Plasma Physics and Controlled Fusion, Vol. 28, No. 11, 01.11.1986, p. 1735-1740.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Saturation of plasma beat waves and de-tuning of relativistic Langmuir waves

AU - Bingham, R.

AU - Cairns, R. A.

AU - Evans, R. G.

PY - 1986/11/1

Y1 - 1986/11/1

N2 - The authors analyse the saturation mechanism for the electrostatic plasma wave excited by two electromagnetic waves, and show that the level is determined not only by the relativistic frequency shift but also by other nonlinear effects which are of the same order. The difference between this and previous results, which suggest that there is only a relativistic frequency shift, arises from the boundary conditions imposed on the plasma. They do not impose a condition of zero current as others have, but instead argue that the correct condition to be imposed is that the average Eulerian velocity be zero. The analytic results are directly checked by numerical simulation carried out using a 1-D particle in cell code showing excellent agreement between the two approaches.

AB - The authors analyse the saturation mechanism for the electrostatic plasma wave excited by two electromagnetic waves, and show that the level is determined not only by the relativistic frequency shift but also by other nonlinear effects which are of the same order. The difference between this and previous results, which suggest that there is only a relativistic frequency shift, arises from the boundary conditions imposed on the plasma. They do not impose a condition of zero current as others have, but instead argue that the correct condition to be imposed is that the average Eulerian velocity be zero. The analytic results are directly checked by numerical simulation carried out using a 1-D particle in cell code showing excellent agreement between the two approaches.

KW - plasma waves

KW - Langmuir waves

KW - saturation mechanism

KW - electromagnetic waves

U2 - 10.1088/0741-3335/28/11/009

DO - 10.1088/0741-3335/28/11/009

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