Parametric instabilities in a magnetized plasma

Liu, C.S.; Tripathi, V. K.

doi:10.1016/0370-1573(86)90108-0

Cited by 183 publications

(132 citation statements)

References 116 publications

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“…Using the LH star code, which is described by Cesario et al 11,12 , the PI-induced spectral broadening has been calculated and used to determine the LH deposition in the plasma. Frequencies and growth rates of the ion-sound-quasi-mode-driven LH sideband waves are obtained by solving the parametric dispersion relation 8,19 : where ε is the dielectric function, ω , k indicate, respectively, the complex frequency and the wave vector of the low frequency perturbation, the suffi x i = 0,1,2 refers to the pump, the lower and the upper sidebands, respectively, and μ 1,2 are the coupling coeffi cients referring to the lower and upper sidebands, respectively (see Cesario et al 12 for details). From the measured data in the standard regime, plasma (discharge 32164 in Figure 3 ) high growth rates ( γ / ω 0 ≈ 1 × 10 − 4 ) are obtained for the LH sidebands that are signifi cantly shift ed in frequency with respect to the pump wave ( Δ f ≈ 15 -20 MHz in frequency, and Δ n Խ Խ ≈ 30 in wavenumber).…”

Section: Resultsmentioning

confidence: 99%

“…From the measured data in the standard regime, plasma (discharge 32164 in Figure 3 ) high growth rates ( γ / ω 0 ≈ 1 × 10 − 4 ) are obtained for the LH sidebands that are signifi cantly shift ed in frequency with respect to the pump wave ( Δ f ≈ 15 -20 MHz in frequency, and Δ n Խ Խ ≈ 30 in wavenumber). Th e spatial amplifi cation factor, which takes into account the convective loss due to plasma inhomogeneity 19 , for ion-sound quasi-mode-driven PI is given by Cesario et al 12…”

Section: Resultsmentioning

confidence: 99%

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Current drive at plasma densities required for thermonuclear reactors

Cesario¹,

Amicucci²,

Cardinali³

et al. 2010

Nat Commun

136

140

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Progress in thermonuclear fusion energy research based on deuterium plasmas magnetically confi ned in toroidal tokamak devices requires the development of effi cient current drive methods. Previous experiments have shown that plasma current can be driven effectively by externally launched radio frequency power coupled to lower hybrid plasma waves. However, at the high plasma densities required for fusion power plants, the coupled radio frequency power does not penetrate into the plasma core, possibly because of strong wave interactions with the plasma edge. Here we show experiments performed on FTU (Frascati Tokamak Upgrade) based on theoretical predictions that nonlinear interactions diminish when the peripheral plasma electron temperature is high, allowing signifi cant wave penetration at high density. The results show that the coupled radio frequency power can penetrate into high-density plasmas due to weaker plasma edge effects, thus extending the effective range of lower hybrid current drive towards the domain relevant for fusion reactors.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Current drive at plasma densities required for thermonuclear reactors

Cesario¹,

Amicucci²,

Cardinali³

et al. 2010

Nat Commun

136

140

View full text Add to dashboard Cite

show abstract

“…This study and research is significant because of its profound applicability to space plasma, rf heating of fusion devices [8], and laboratory experiments [9][10][11][12]. Parametric instabilities also play a crucial role in laser interaction with plasma, e.g., laser driven fusion [13].…”

Section: Introductionmentioning

confidence: 99%

“…Modulational instability (MI) of Langmuir and ion acoustic waves have also been analysed with keen interest [42,43]. Liu and Tripathi [9] considered the MI of lower hybrid (LH) wave in infinite plasma. Konar et al [44] have studied the MI of a LH wave in a plasma slab in absence of dust particles.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Modelling of Modulational Instability of a Lower Hybrid Wave in a Complex Plasma

Gahlot¹

2017

PIER M

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Abstract-The modulational instability of a lower hybrid wave is investigated in a dusty plasma slab by developing a non-local theory of this four wave parametric interaction process. The immersed dust grains modify the dispersion relation and growth rate expression of low frequency unstable mode. A numerical analysis shows that the frequencies and growth rate of unstable mode is higher in dusty plasma than in that without dust grains. The growth rate of the unstable mode is proportional to pump amplitude and has strong dependence on pump frequency.

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“…During the past four decades, PDIs have already been developed deeply in experiments and theories [1][2][3][4][5][6][7][8][9][10][11]. But there still some deficiencies exist for the large scale space problem.…”

Section: Introductionmentioning

confidence: 99%

Benchmark of a parallel fluid code for parametric decay instability in inhomogeneous plasmas

Sun¹,

Wang²

2016

Proceedings of the 2016 International Symposium on Advances in Electrical, Electronics and Computer Engineering

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A nonlinear and parallel fluid code is developed to solve the full space-time domain coupled two-fluid plasma and Maxwell equations and is used to investigate the parametric decay instabilities (PDIs) of the inhomogeneous plasma. Under the laser plasma parameters of nuclear fusion, the threshold power of TPD instability measured in the simulation agree well with the analytical results. For the X mode wave heating of electron cyclotron frequency in Tokamaks, the channels of upper-hybrid wave decay and Raman Scattering of electron cyclotron wave are also found. IntroductionDuring the past four decades, PDIs have already been developed deeply in experiments and theories [1][2][3][4][5][6][7][8][9][10][11]. But there still some deficiencies exist for the large scale space problem. In recent, the authors supplied some PDIs results of ion Bernstein wave with the method of the coupled Maxwell and plasma equations in full space-time domain [9], the results indicate that, the full space-time domain simulation can offer all of linear and nonlinear physics processes and all of frequency and wave vector components. Comparing to the other methods, the full space-time domain simulation has its own advantages for the study of the PDI.In this paper, based on the finite difference method, the coupled Maxwell equations and plasma equations are solved with full space-time solutions to recur the PDIs of laser plasma of ICF and RF heating of MCF. By this method, in fluid description limits, all the linear and nonlinear parametric decay processes of wave and plasma can be contained, and each channel can be identified from the frequency and wave vector components that obtain by simulations. Moreover, compared with the linear theory anlysis, it is of independent of the wavelength of pump wave and the density scale length of plasma. This paper is arranged as follows: In Sec. 2, we will introduce the nonlinear fluid model and equations. In Sec. 3, benchmark of the code with TPD threshold in unmagnetized plasma is presented. In Sec. 4, some numerical results of the magnetized plasma in electron cyclotron frequency are outlined. Finally, the conclusions are summarized in Sec. 5.

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Parametric instabilities in a magnetized plasma

Cited by 183 publications

References 116 publications

Current drive at plasma densities required for thermonuclear reactors

Current drive at plasma densities required for thermonuclear reactors

Theoretical Modelling of Modulational Instability of a Lower Hybrid Wave in a Complex Plasma

Benchmark of a parallel fluid code for parametric decay instability in inhomogeneous plasmas

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