The possible dynamics of the electron beam, formed in the vicinity of Io, the natural satellite of Jupiter, and injected toward Jupiter, has been investigated analytically. When a beam penetrates the Jupiter plasma to a certain depth, the beam-plasma instability can be developed. In this case, the distribution function of electrons is expanded additionally by excited oscillations. These electrons, when their energy is of order of a required certain value, cause UV polar light. For closing of a current, the formation of a double electric layer is necessary. The necessary parameters and conditions for the formation of a double layer with a large jump of an electric potential at a certain height have been formulated, its properties, stability, behavior over time and beam reflection in its field for closing of a current have been described. возможная динамика электронного пучка, формируемого в окрестности Ио -естественного спутника Юпитера и инжектируемого в сторону Юпитера. При проникновении пучка в плазму Юпитера на определенную глубину может развиться пучково-плазменная неустойчивость. При этом возбуждаемые колебания дополнительно размывают функцию распределения электронов. Эти электроны, если их энергия порядка определенной величины, вызывают УФ полярное сияние. Для замыкания тока необходимо формирование двойного электрического слоя. Сформулированы необходимые параметры и условия формирования на некоторой высоте двойного слоя с большим скачком электрического потенциала, описаны его свойства, устойчивость, поведение во времени и отражение пучка в его поле для замыкания тока. Отражение пучка может привести к его вихревой динамике. КЛЮЧЕВЫЕ СЛОВА: динамика электронного пучка, полярное сияние Юпитера, двойной электрический слой, пучково-плазменная неустойчивость In this paper, the possible dynamics of an electron beam in the vicinity of Jupiter, which leads to polar light of Jupiter [1][2][3][4][5][6][7][8][9][10] and which according to model [11] is accelerated in the Io vicinity, has been investigated. Electron bunches move along a magnetic tube from Io to Jupiter. Since the magnetic field lines of Jupiter meet at its poles, the beam is focused while moving toward Jupiter, and the density of the beam electrons increases. When the beam penetrates into the plasma to a certain depth, the beam-plasma instability (BPI) develops. In this case, the excited
Plasma-based accelerators sustain accelerating gradients which are several orders greater than obtained in conventional accelerators. Focusing of electron and positron beams by wakefield, excited in plasma, in electron-positron collider is very important. The focusing mechanism in the plasma, in which all electron bunches of a sequence are focused identically, has been proposed by authors earlier. The mechanism of focusing of a sequence of relativistic positron bunches in plasma, in which all positron bunches of sequence are focused identically and uniformly, has been investigated in this paper by numerical simulation by 2.5D code LCODE. Mechanism of this identical and uniform focusing involves the use of wave-length λ, which coinciding with double longitudinal dimension of bunches λ=2Db, the first bunch current is in two times smaller than the current of the following bunches of sequence and the distance between bunches equals to one and a half of wavelength 1.5λ. We numerically simulate the self-consistent radial dynamics of lengthy positron bunches in homogeneous plasma. In simulation we use the hydrodynamic description of plasma. In other words the plasma is considered to be cold electron liquid, and positron bunches are aggregate of macroparticles. Positron bunches are considered to be homogeneous cylinders in the longitudinal direction. Positrons in bunches are distributed in radial direction according to Gaussian distribution. It is shown that in this case only first bunch is in the finite longitudinal electrical wakefield Ez¹0. Other bunches are in zero longitudinal electrical wakefield Ez=0. Between bunches of this sequence longitudinal electrical wakefield and radial force are not zero Ez¹0, Fr¹0. The focusing radial force in regions, occupied by bunches, is constant along each bunch Fr=const. Between bunches the radial force is inhomogeneous Fr¹const. All positron bunches of sequence are focused identically and uniformly.
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