Stimulated Brillouin backscattering in a magnetized inhomogeneous plasma

Willett, Joseph E.; Bilikmen, Sinan

doi:10.1088/0032-1028/20/12/003

Cited by 3 publications

(8 citation statements)

References 10 publications

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“…This result is in qualitative agreement with results obtained in [40] where a reduction in growth rate towards zero at a cut-off field is seen as a result of introducing an axial magnetic field. In reference [40], an analytical expression for the growth rate has been derived in the presnce of a dc-magnetic field.…”

Section: Discussionsupporting

confidence: 92%

“…In reference [40], an analytical expression for the growth rate has been derived in the presnce of a dc-magnetic field. This expression is of a limited validity because it is derived for a weak magnetic field limit.…”

Section: Discussionmentioning

confidence: 99%

“…This resulting sixth order equation can be simplified in the limit of weak magnetic fields, which is the case studied by Willet and Bilikmen [40]. Another limitation on the analytical expression of SBBS growth rate obtained in ref.…”

Section: Amentioning

confidence: 99%

“…In magnetized plasmas, the use of Fourier transform to solve the system of equations (18), (23), (24), and (26) results in an equation to the sixth order, which can't be solved analytically for an expression for the growth rate. This resulting sixth order equation can be simplified in the limit of weak magnetic fields, which is the case studied by Willet and Bilikmen [40]. Another limitation on the analytical expression of SBBS growth rate obtained in ref.…”

Section: Sbbs In Magnetized Homogeneous Plasmasmentioning

confidence: 99%

“…Another limitation on the analytical expression of SBBS growth rate obtained in ref. [40] is that it is derived for the case of cold ions.…”

Section: Sbbs In Magnetized Homogeneous Plasmasmentioning

confidence: 99%

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Stimulated Brillouin backscattering in magnetized plasmas

Bawa’aneh

2003

Contrib. Plasma Phys.

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Key words Brillouin backscattering, magnetized plasma PACS 52.25.Xz Stimulated Brillouin backscattering (SBBS) from a magnetized homogeneous plasma is investigated. Effect of a dc-magnetic field on SBBS growth rate is obtained and compared with that for non-magnetized plasmas. Numerical calculations show an increase in the instability growth rate for small magnetic fields, then a decrease in the growth rate as the magnetic field increases till a cut-off field is reached, beyond which SBBS is brought to stability.

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Section: Discussionsupporting

confidence: 92%

Section: Discussionmentioning

confidence: 99%

Section: Amentioning

confidence: 99%

Section: Sbbs In Magnetized Homogeneous Plasmasmentioning

confidence: 99%

“…Another limitation on the analytical expression of SBBS growth rate obtained in ref. [40] is that it is derived for the case of cold ions.…”

Section: Sbbs In Magnetized Homogeneous Plasmasmentioning

confidence: 99%

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Stimulated Brillouin backscattering in magnetized plasmas

Bawa’aneh

2003

Contrib. Plasma Phys.

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Electromagnetic wave backscattering across a magnetic field in a bounded plasma

1979

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The stimulated backscattering of electromagnetic ordinary waves from extraordinary waves propagating normal to a magnetic field in a plasma of finite length is studied. A pair of coupled differential equations for the amplitudes of the backscattered and scatterer waves is derived from Maxwell's equations and the moment equations for an inhomogeneous magnetized plasma. Solution of the coupled equations for a homogeneous plasma yields an expression for the growth rate of the absolute instability as a function of plasma length and damping rates of the product waves. The convective regime in which only spatial amplification occurs is discussed. A numerical study of the effects of the magnetic field on Raman and Brillouin backscattering is presented.

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Stimulated backscattering of electromagnetic waves from electrostatic waves in a magnetized plasma

Willett

Bilikmen

1979

Journal of Applied Physics

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An analysis of the parametric decay of an intense electromagnetic wave into an electrostatic wave and a backscattered electromagnetic wave is presented. A generalized dispersion relation is derived which describes stimulated backscattering from four types of electrostatic waves propagating at an arbitrary angle with respect to a uniform static magnetic field. In the subsequent analysis of the absolute backscatter instability in homogeneous and inhomogeneous, bounded and unbounded plasma, approximations which permit independent treatment of the high-frequency electron modes and the low-frequency ion modes are invoked where appropriate. A numerical study of a laser beam with its direction of propagation making an angle ϑ equal to 5°, 45°, and 85° with the static magnetic field is discussed. Effects of the magnetic field on the growth rate γ0 in an unbounded plasma, the growth rate γ in a bounded plasma, the basic gain length l0, and the inhomogeneity parameter λ are illustrated.

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Stimulated Brillouin backscattering in a magnetized inhomogeneous plasma

Cited by 3 publications

References 10 publications

Stimulated Brillouin backscattering in magnetized plasmas

Stimulated Brillouin backscattering in magnetized plasmas

Electromagnetic wave backscattering across a magnetic field in a bounded plasma

Stimulated backscattering of electromagnetic waves from electrostatic waves in a magnetized plasma

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