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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 68 (1990), S. 2051-2057 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A plasma–microwave system was proposed by one of the authors for the production of microwave radiation. The device exploits the electromagnetic instabilities of nonequilibrium plasmas. During single-mode operation of the plasma maser, the resonant particles become trapped and cease to radiate before a substantial fraction of the energy available could be extracted from the plasma in the form of radiation. (This is not true for multimode operation. During multimode operation, the total energy available is distributed over a large number of resonant lines and the amplitudes of the various frequency components of the waves are not at all large enough to cause particle trapping and subsequently saturation. Thus, the linear theory remains valid until the anisotropy disappears due to radiation.) One should, therefore, consider the interaction of the bulk plasma with the nonresonant monochromatic electromagnetic wave in order to estimate the total energy transferred from the plasma to the wave. In the framework of the linear treatment, due to the resonant nature of the instability considered in previous work by one of the authors, the transfer of energy from the nonresonant plasma to the wave is zero. Consequently, the efficiency of the device during single-mode operation can only be evaluated after considering the nonlinear evolution of the plasma–microwave system. In this paper we describe in some details the nonlinear evolution of the plasma–wave system using a single particle analysis. The current density J is calculated using the second moment of the particle distribution function (evaluated using Liouville's theorem of conservation of phase space density along particle orbits), and the energy balance equation is solved numerically.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Annales geophysicae 18 (2000), S. 1108-1117 
    ISSN: 0992-7689
    Keywords: Ionosphere (auroral ionosphere) ; Magnetospheric physics (auroral phenomena; magnetosphere-ionosphere interactions)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Three models for the magnetosphere-ionosphere coupling feedback instability are considered. The first model is based on demagnetization of hot ions in the plasma sheet. The instability takes place in the global magnetosphere-ionosphere system when magnetospheric electrons drift through a spatial gradient of hot magnetospheric ion population. Such a situation exists on the inner and outer edges of the plasma sheet where relatively cold magnetospheric electrons move earthward through a radial gradient of hot ions. This leads to the formation of field-aligned currents. The effect of upward field-aligned current on particle precipitation and the magnitude of ionospheric conductivity leads to the instability of this earthward convection and to its division into convection streams oriented at some angle with respect to the initial convection direction. The growth rate of the instability is maximum for structures with sizes less than the ion Larmor radius in the equatorial plane. This may lead to formation of auroral arcs with widths about 10 km. This instability explains many features of such arcs, including their conjugacy in opposite hemispheres. However, it cannot explain the very high growth rates of some auroral arcs and very narrow arcs. For such arcs another type of instability must be considered. In the other two models the instability arises because of the generation of Alfven waves from growing arc-like structures in the ionospheric conductivity. One model is based on the modulation of precipitating electrons by field-aligned currents of the upward moving Alfven wave. The other model takes into consideration the reflection of Alfven waves from a maximum in the Alfven velocity at an altitude of about 3000 km. The growth of structures in both models takes place when the ionization function associated with upward field-aligned current is shifted from the edges of enhanced conductivity structures toward their centers. Such a shift arises because the structures move at a velocity different from the E × B drift. Although both models may work, the growth rate for the model, based on the modulation of the precipitating accelerated electrons, is significantly larger than that of the model based on the Alfven wave reflection. This mechanism is suitable for generation of auroral arcs with widths of about 1 km and less. The growth rate of the instability can be as large as 1 s-1, and this mechanism enables us to justify the development of auroral arcs only in one ionosphere. It is hardly suitable for excitation of wide and conjugate auroral arcs, but it may be responsible for the formation of small-scale structures inside a wide arc.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Annali di matematica pura ed applicata 87 (1970), S. 11-24 
    ISSN: 1618-1891
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary An integral involving the product of three generalised hypergeometric functions is evaluated in terms of Kampe de Feriet's functions of higher order. Infinite integrals involving products of 3, 4, 5 and six Bessel functions are deduced as particular cases.
    Type of Medium: Electronic Resource
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