Instability and dynamics of two nonlinearly coupled laser beams in a two-temperature electron plasma

B. Eliasson, P. K. Shukla

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We consider nonlinear interactions between two colliding laser beams in an electron plasma, accounting for the relativistic electron mass increase in the laser fields and radiation pressure driven electron-acoustic (EA) perturbations that are supported by hot and cold electrons. By using the hydrodynamic and Maxwell equations, we obtain the relevant equations for nonlinearly coupled laser beams and EA perturbations. The coupled equations are then Fourier analyzed to obtain a nonlinear dispersion relation. The latter is numerically solved to show the existence of new classes of the parametric instabilities in the presence of two colliding laser beams in a two-electron plasma. The dynamics of nonlinearly coupled laser beams in our electron plasma is also investigated. The results should be useful in understanding the nonlinear propagation characteristics of multiple electromagnetic beams in laser-produced plasmas as well as in space plasmas.
LanguageEnglish
Article number046401
Number of pages6
JournalPhysical Review E
Volume74
Issue number4
DOIs
Publication statusPublished - 4 Oct 2006

Fingerprint

electron plasma
Laser Beam
Plasma
laser beams
Electron
perturbation
space plasmas
electrons
temperature
acoustics
electron mass
hydrodynamic equations
radiation pressure
hot electrons
laser plasmas
pressure distribution
Maxwell equation
Acoustics
Laser-produced Plasma
Nonlinear Dispersion

Keywords

  • instability
  • laser beams
  • two-temperature plasma
  • colliding lasers
  • electron plasmas

Cite this

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abstract = "We consider nonlinear interactions between two colliding laser beams in an electron plasma, accounting for the relativistic electron mass increase in the laser fields and radiation pressure driven electron-acoustic (EA) perturbations that are supported by hot and cold electrons. By using the hydrodynamic and Maxwell equations, we obtain the relevant equations for nonlinearly coupled laser beams and EA perturbations. The coupled equations are then Fourier analyzed to obtain a nonlinear dispersion relation. The latter is numerically solved to show the existence of new classes of the parametric instabilities in the presence of two colliding laser beams in a two-electron plasma. The dynamics of nonlinearly coupled laser beams in our electron plasma is also investigated. The results should be useful in understanding the nonlinear propagation characteristics of multiple electromagnetic beams in laser-produced plasmas as well as in space plasmas.",
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Instability and dynamics of two nonlinearly coupled laser beams in a two-temperature electron plasma. / Eliasson, B.; Shukla, P. K.

In: Physical Review E, Vol. 74, No. 4, 046401, 04.10.2006.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Instability and dynamics of two nonlinearly coupled laser beams in a two-temperature electron plasma

AU - Eliasson, B.

AU - Shukla, P. K.

PY - 2006/10/4

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N2 - We consider nonlinear interactions between two colliding laser beams in an electron plasma, accounting for the relativistic electron mass increase in the laser fields and radiation pressure driven electron-acoustic (EA) perturbations that are supported by hot and cold electrons. By using the hydrodynamic and Maxwell equations, we obtain the relevant equations for nonlinearly coupled laser beams and EA perturbations. The coupled equations are then Fourier analyzed to obtain a nonlinear dispersion relation. The latter is numerically solved to show the existence of new classes of the parametric instabilities in the presence of two colliding laser beams in a two-electron plasma. The dynamics of nonlinearly coupled laser beams in our electron plasma is also investigated. The results should be useful in understanding the nonlinear propagation characteristics of multiple electromagnetic beams in laser-produced plasmas as well as in space plasmas.

AB - We consider nonlinear interactions between two colliding laser beams in an electron plasma, accounting for the relativistic electron mass increase in the laser fields and radiation pressure driven electron-acoustic (EA) perturbations that are supported by hot and cold electrons. By using the hydrodynamic and Maxwell equations, we obtain the relevant equations for nonlinearly coupled laser beams and EA perturbations. The coupled equations are then Fourier analyzed to obtain a nonlinear dispersion relation. The latter is numerically solved to show the existence of new classes of the parametric instabilities in the presence of two colliding laser beams in a two-electron plasma. The dynamics of nonlinearly coupled laser beams in our electron plasma is also investigated. The results should be useful in understanding the nonlinear propagation characteristics of multiple electromagnetic beams in laser-produced plasmas as well as in space plasmas.

KW - instability

KW - laser beams

KW - two-temperature plasma

KW - colliding lasers

KW - electron plasmas

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SN - 1539-3755

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