The nonlinear eikonal relation of a weakly inhomogeneous magnetized plasma upon the action of arbitrarily polarized finite wavelength electromagnetic waves

Ştefan, V.; Krall, Nicholas A.; McBride, J. B.

doi:10.1063/1.866407

Cited by 17 publications

(9 citation statements)

References 12 publications

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“…This approach is in the spirit of the paper by Drake 24 for kinetic, unmagnetised plasma waves, and also for magnetised waves 25 . Subsequent kinetic work was done which extended the Drake approach to include a background B field 26,27 . While our approach does not contain new results compared to the latter, we believe it is useful to work through the details explicitly -especially in a form familiar to the unmagnetised LPI community.…”

Section: Parametric Dispersion Relations For Magnetised Plasma Wavesmentioning

confidence: 99%

Magnetized Laser-Plasma Interactions in High-Energy-Density Systems: Parallel Propagation

Los,

Strozzi

2021

Preprint

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We investigate parametric processes in magnetised plasmas, driven by a large-amplitude pump light wave. Our focus is on laser-plasma interactions relevant to high-energy-density (HED) systems, such as the National Ignition Facility and the Sandia MagLIF concept. We derive dispersion relations for three-wave interactions in a multi-species plasma using Maxwell's equations, the warm-fluid momentum equation and the continuity equation. The application of an external B field causes right and left polarised light waves to propagate with differing phase velocities. This leads to Faraday rotation of the polarisation, which can be significant in HED conditions. Raman and Brilllouin scattering have modified spectra due to the background B field, though this effect is usually small in systems of current practical interest. We identify a scattering process we call stimulated whistler scattering, where a light wave decays to an electromagnetic whistler wave (ω ω ce ) and a Langmuir wave. This only occurs in the presence of an external B field, which is required for the whistler wave to exist. We compute the scattered wavelengths for Raman, Brillouin, and whistler scattering.

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Section: Parametric Dispersion Relations For Magnetised Plasma Wavesmentioning

confidence: 99%

Magnetized Laser-Plasma Interactions in High-Energy-Density Systems: Parallel Propagation

Los,

Strozzi

2021

Preprint

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“…1974), (Liu & Kaw 1976) and (Kruer 1988). In the presence of an applied magnetic field, some representative references on parametric instability theory are (Porkolab 1974), (Kaw 1976), (Cohen 1987) and (Stefan, Krall & McBride 1987). ]…”

Section: Nonlinear Vlasov Plasmamentioning

confidence: 99%

“…[Editor's note: in a plasma with no applied magnetic field, three of the classic references on parametric instabilities are (Drake, et al 1974), (Liu & Kaw 1976) and (Kruer 1988). In the presence of an applied magnetic field, some representative references on parametric instability theory are (Porkolab 1974), (Kaw 1976), (Cohen 1987) and (Stefan, Krall & McBride 1987).] EXAMPLE (Explosive instability).…”

Section: Parametric and Explosive Instabilitiesmentioning

confidence: 99%

Theoretical plasma physics

Kaufman

Cohen

2019

J. Plasma Phys.

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These lecture notes were presented by Allan N. Kaufman in his graduate plasma theory course and a follow-on special topics course (Physics 242A, B, C and Physics 250 at the University of California Berkeley). The notes follow the order of the lectures. The equations and derivations are as Kaufman presented, but the text is a reconstruction of Kaufman’s discussion and commentary. The notes were transcribed by Bruce I. Cohen in 1971 and 1972, and word processed, edited and illustrations added by Cohen in 2017 and 2018. The series of lectures is divided into four major parts: (i) collisionless Vlasov plasmas (linear theory of waves and instabilities with and without an applied magnetic field, Vlasov–Poisson and Vlasov–Maxwell systems, Wentzel–Kramers–Brillouin–Jeffreys (WKBJ) eikonal theory of wave propagation); (ii) nonlinear Vlasov plasmas and miscellaneous topics (the plasma dispersion function, singular solutions of the Vlasov–Poisson system, pulse-response solutions for initial-value problems, Gardner’s stability theorem, gyroresonant effects, nonlinear waves, particle trapping in waves, quasilinear theory, nonlinear three-wave interactions); (iii) plasma collisional and discreteness phenomena (test-particle theory of dynamic friction and wave emission, classical resistivity, extension of test-particle theory to many-particle phenomena and the derivation of the Boltzmann and Lenard–Balescu equations, the Fokker–Planck collision operator, a general scattering theory, nonlinear Landau damping, radiation transport and Dupree’s theory of clumps); (iv) non-uniform plasmas (adiabatic invariance, guiding-centre drifts, hydromagnetic theory, introduction to drift-wave stability theory).

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“…This essential coefficient was very difficult to compute in the presence of a background magnetic field. Although many methods were attempted [30][31][32][33][34][35][36][37] , explicit expressions of the coupling coefficient were only known in the simple cases where the collimated waves propagate either parallel 38 or perpendicular [39][40][41] to the magnetic field. Recently, we have obtained a convenient formula for the coupling coefficient in magnetized plasmas when waves propagate at arbitrary angles 17…”

Section: B Coupling Coefficientmentioning

confidence: 99%

Laser-plasma interactions in magnetized environment

2018

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Propagation and scattering of lasers present new phenomena and applications when the plasma medium becomes strongly magnetized. With mega-Gauss magnetic fields, scattering of optical lasers already becomes manifestly anisotropic. Special angles exist where coherent laser scattering is either enhanced or suppressed, as we demonstrate using a cold-fluid model. Consequently, by aiming laser beams at special angles, one may be able to optimize laser-plasma coupling in magnetized implosion experiments. In addition, magnetized scattering can be exploited to improve the performance of plasma-based laser pulse amplifiers. Using the magnetic field as an extra control variable, it is possible to produce optical pulses of higher intensity, as well as compress UV and soft x-ray pulses beyond the reach of other methods. In even stronger giga-Gauss magnetic fields, laser-plasma interactions begin to enter the relativistic-quantum regime. Using quantum electrodynamics, we compute modified wave dispersion relation, which enables correct interpretation of Faraday rotation measurements of strong magnetic fields.

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The nonlinear eikonal relation of a weakly inhomogeneous magnetized plasma upon the action of arbitrarily polarized finite wavelength electromagnetic waves

Cited by 17 publications

References 12 publications

Magnetized Laser-Plasma Interactions in High-Energy-Density Systems: Parallel Propagation

Magnetized Laser-Plasma Interactions in High-Energy-Density Systems: Parallel Propagation

Theoretical plasma physics

Laser-plasma interactions in magnetized environment

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