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  • 1
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    Macroscopic Lagrangian description of warm plasmas. II Nonlinear wave interactions (1983)
    In:  Other Sources
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    Publication Date: 2011-08-18
    Description: A macroscopic Lagrangian is simplified to the adiabatic limit and expanded about equilibrium, to third order in perturbation, for three illustrative cases: one-dimensional compression parallel to the static magnetic field, two-dimensional compression perpendicular to the static magnetic field, and three-dimensional compression. As examples of the averaged-Lagrangian method applied to nonlinear wave interactions, coupling coefficients are derived for interactions between two electron plasma waves and an ion acoustic wave, and between an ordinary wave, an electron plasma wave, and an ion acoustic wave.
    Keywords: PLASMA PHYSICS
    Type: Radio Science (ISSN 0048-6604); 18; 1369-137
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  • 2
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    Plasma double-layers produced by ponderomotive force (1980)
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    Publication Date: 2011-08-18
    Description: Non-linear rectification of the RF electric fields excited in a convectively amplifying electron beam-plasma interaction results in a dc electric field, and a corresponding ponderomotive force acting on the charged particles to produce a space-charge separation, i.e. a type of plasma double-layer. This paper analyses the effect, taking into account plasma electron temperature and electron-neutral collisions. To measure such double-layers, an electron beam probe constitutes a convenient non-perturbing diagnostic technique, but great care is required in its calibration. An analysis is presented taking into account significant non-linear effects which had been neglected in previous work. The paper concludes with some preliminary experimental results illustrating the use of the technique in a beam-plasma interaction for which a weak double-layer electric field is predicted.
    Keywords: PLASMA PHYSICS
    Type: International Journal of Electronics; 49; Dec. 198
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  • 3
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    Observational dispersion relations (1982)
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    Publication Date: 2011-08-18
    Description: Pulse propagation in plasmas has been widely studied in relation to instabilities and their classification as convective or absolute. Such analyses emphasize the importance of considering the summation of a spectrum of modes, rather than simply making deductions from Brillouin dispersion relations plotted either for real frequency and complex wavenumber, or for complex frequency and real wavenumber. In particular, erroneous conclusions may be drawn about the magnitude and direction of propagation of a transient pulse. In this paper, the point of view is taken that an observer remote from the source would measure an 'observational dispersion relation'. The nature of this dispersion relation is examined for absorbing or convectively unstable plasmas by asymptotic analysis, and for different source waveforms. Illustrative results are presented for propagation in cold plasmas and for beam-plasma interaction.
    Keywords: PLASMA PHYSICS
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  • 4
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    Nonlinear scattering from a plasma column. I - Theory. II Special cases (1983)
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    Publication Date: 2011-08-18
    Description: The scattered signal excited by nonlinear mixing of two plane waves normally incident on an infinitely long column of plasma is investigated. A general solution is obtained for the polarization in which the electric field vectors of the waves are perpendicular to the column axis and the column is assumed to be radically inhomogeneous. This general theory is then applied to the special cases of the inhomogeneous column in the long-wavelength limit, and the homogeneous column both for the general case and in the long-wavelength limit. It is determined that dipole and quadrupole components should predominate in the polar radiation pattern for the long-wavelength case. The special case of second harmonic generation due to a single incident wave is analyzed in detail. Nonlinear scattering coefficients are computed, and the corresponding polar radiation patterns are determined. The findings of this study are employed to evaluate the feasibility of observing nonlinear scattering from meteor trails.
    Keywords: PLASMA PHYSICS
    Type: Radio Science (ISSN 0048-6604); 18; Sept
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  • 5
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    Dispersion characteristics for decaying or amplifying waves. I - An observational approach. II - Analysis of a beam-plasma system (1983)
    In:  Other Sources
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    Publication Date: 2011-08-18
    Keywords: PLASMA PHYSICS
    Type: Radio Science (ISSN 0048-6604); 18; May-June
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  • 6
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    Langmuir probe measurements of double-layers in a pulsed discharge (1980)
    In:  Other Sources
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    Publication Date: 2011-08-18
    Description: Langmuir probe measurements have been carried out which confirm the occurrence of double-layers in an argon positive column. Pulsing the discharge current permitted probe measurements to be performed in the presence of the double-layer. Supplementary evidence, obtained from dc and pulsed discharges, indicated that the double-layers formed in the two modes of operation were similar. The double-layers observed were weak and stable; their relation to other classes of double-layers is discussed, and directions for future work are suggested.
    Keywords: PLASMA PHYSICS
    Type: Journal of Plasma Physics; 24; Oct. 198
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  • 7
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    A fluid description of plasma double-layers (1980)
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    Publication Date: 2011-08-17
    Description: The space-charge double layer forming between two plasmas with different densities and thermal energies is described. The double layer is analyzed using fluid theory. The case of cold particles is treated. Thermal effects for the reflected particles and for the transmitted particles are considered. Emphasis is placed on finding a relationship between the magnitude of the potential step and the parameters characterizing the adjoining plasmas. Qualitative statements are made about the length of the double layer, and a characteristic length useful as a quantitative measure is defined and discussed.
    Keywords: PLASMA PHYSICS
    Type: Journal of Plasma Physics; 23; Apr. 198
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  • 8
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    Variational description of the positive column with two-step ionization (1980)
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    Publication Date: 2011-08-17
    Description: The ionization balance in diffusion-dominated discharges may depend on both one- and two-step ionization processes. The Spenke diffusion equation describing such conditions is solved in this paper by the Rayleigh-Ritz variational method. Simple analytic approximations to the density profile, and the similarity relation between the equation parameter, and the discharge dimensions, are derived for planar and cylindrical geometry and compared with exact computations for certain limiting cases.
    Keywords: PLASMA PHYSICS
    Type: Journal of Applied Physics; 51; Mar. 198
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  • 9
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    Macroscopic Lagrangian description of warm plasmas. I Formulation of the Lagrangian (1983)
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    Publication Date: 2011-08-18
    Description: A macroscopic Lagrangian is derived which includes a pressure tensor, heat conduction, and elastic collisions. Its Euler-Lagrange equations are shown to be the Maxwell equations and the macroscopic force law. The corresponding Hamiltonian is derived, and Hamilton's canonical equations are also demonstrated to lead to the Maxwell equations and the macroscopic force law. The treatment is facilitated by working in a mixture of Eulerian coordinates (for the fields) and Lagrangian coordinates (for the particle motions), and the introduction of a macroscopic potential expressed in terms of the plasma thermal energy and the energy losses by heat conduction.
    Keywords: PLASMA PHYSICS
    Type: Radio Science (ISSN 0048-6604); 18; 1355-136
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  • 10
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    Microscopic Lagrangian description of warm plasmas. IV - Macroscopic approximation (1983)
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    Publication Date: 2011-08-18
    Description: The averaged-Lagrangian method is applied to linear wave propagation and nonlinear three-wave interaction in a warm magnetoplasma, in the macroscopic approximation. The microscopic Lagrangian treated by Kim and Crawford (1977) and by Galloway and Crawford (1977) is first expanded to third order in perturbation. Velocity integration is then carried out, before applying Hamilton's principle to obtain a general description of wave propagation and coupling. The results are specialized to the case of interaction between two electron plasma waves and an Alfven wave. The method is shown to be more powerful than the alternative possibility of working from the beginning with a macroscopic Lagrangian density.
    Keywords: PLASMA PHYSICS
    Type: Radio Science; 18; Mar
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