Multimode parametric instability during electron cyclotron heating

Alanakyan, Yu. R.; Ivanov, А.А.; Luk'yanov, A. A.; Serebrennikov, K.S.; Fedotov, Vitalij

doi:10.1134/1.952863

Cited by 2 publications

(2 citation statements)

References 1 publication

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“…Analytical expressions for the SECOM growth rate at electron cyclotron frequency are found in the approximation of an adequately dense plasma. They differ from the expressions obtained for the bulk electron cyclotron waves [1][2][3][4][5]. The amplitude of an external alternating electric field and the values of the wave number and operating frequency ω 0 of the external alternating electric field exert the main influence on the value of SECOM growth rates.…”

Section: Discussioncontrasting

confidence: 58%

“…One of the most widespread methods for the excitation of different types of waves in plasma is their parametric excitation due to the influence of an external alternating electric field [1,2] that is known for a long time. But the interest in parametric excitation of the waves at harmonics of electron cyclotron frequency has not subsided even now (see, e.g., [3][4][5][6]). It is explained particularly by the wide utilization of electromagnetic radiation at this frequency range for additional heating of plasma during research into controlled fusion.…”

Section: Introductionmentioning

confidence: 99%

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Parametric excitation of surface electron cyclotron O-modes by an external alternating electric field

Girka¹,

Girka²,

Yarko³

2011

Phys. Scr.

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Using the model of uniform semi-bounded plasma, it is shown that the influence of an external alternating electric field in the range of electron cyclotron frequencies leads to excitation of eigen ordinary polarized waves at the first harmonic of electron cyclotron frequency. The external electric field was assumed to be uniform and monochromatic; electro-dynamical properties of the plasma were described by the kinetic Vlasov–Boltzmann equation in the approach of a weak spatial dispersion of plasma. Two components of these modes’ wave vector oriented across an external magnetic field are taken into consideration. Fields of these electron cyclotron O-modes are described by the Maxwell equations; their phase velocity is assumed to be less than the velocity of light. Nonlinear boundary condition-described discontinuity of the modes’ tangential magnetic field is formulated using the concept of a nonlinear surface electric current. The infinite set of equations for harmonics of these O-modes’ tangential electric field has been derived with the aid of this nonlinear boundary condition. It is solved using a wave packet consisting of the basic harmonic and two nearest satellite harmonics. A simple analytical expression for growth rates of these surface waves’ parametric instability is obtained; the influence of plasma parameters on their excitation is numerically analyzed.

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Section: Discussioncontrasting

confidence: 58%

Section: Introductionmentioning

confidence: 99%

Parametric excitation of surface electron cyclotron O-modes by an external alternating electric field

Girka¹,

Girka²,

Yarko³

2011

Phys. Scr.

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Parametric excitation of surface ion cyclotron extraordinary polarized waves by an external alternating electric field

Girka¹,

Puzyrkov²

2011

Phys. Scr.

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An external alternating electric field in the range of ion–cyclotron frequencies is shown to excite extraordinary polarized surface electromagnetic waves at the second harmonic of ion–cyclotron frequencies. The kinetic model of a uniform semi-bounded plasma is applied. Plasma electrodynamical properties are described by using the Vlasov–Boltzmann kinetic equation in the approach of weak spatial plasma dispersion. Two components of these modes’ wave vector, which are oriented across an external steady magnetic field, are taken into account. Fields of these ion–cyclotron modes are described by Maxwell equations. Their phase velocity is assumed to be much lower than light velocity. The external alternating electric field is assumed to be uniform and monochromatic. The nonlinear boundary condition is formulated for the tangential magnetic field of the studied surface waves (SW). An infinite set of equations is derived for the values of tangential electric field harmonics on the plasma interface. This set is solved using the approach to the wave packet consisting of the main harmonic and two nearest satellite harmonics. Simple analytical expressions for the growth rates of parametric instability of these SW are derived. The influence of plasma parameters on their parametric excitation is numerically analyzed.

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Multimode parametric instability during electron cyclotron heating

Cited by 2 publications

References 1 publication

Parametric excitation of surface electron cyclotron O-modes by an external alternating electric field

Parametric excitation of surface electron cyclotron O-modes by an external alternating electric field

Parametric excitation of surface ion cyclotron extraordinary polarized waves by an external alternating electric field

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