Nonstationary process of ion bunch acceleration in flat diode

Abstract

Nonstationary process of ion bunch acceleration in flat diode was investigated. Accurate self-consistent solution for Vlasov equation was obtained. Current dependence from longitudinal emittance, ion sound velocity and rate of anode potential value growth was found, and current density value is shown to exceed Child-Langmuir limit current.

One-dimensional self-consistent kinetic models as Vlasov equation solutions

“…Integration of the distribution function with respect to the velocity space must give us the expression for the particle beam density corresponding to the initial assumption of the uniformity of the beam density (the linearity of the self-forces). The distribution of the charge density has a sharp boundary, which automatically arises from the integration of the distribution function (2.2) over the velocity space (see, for example, Barminova & Chikhachev 2012). Such results serve as confirmation of the model self-consistency.…”

“…The model corresponding to the one-dimensional flow of the particles accelerated in a strong non-steady-state electric field between two infinite planes was proposed in Barminova & Chikhachev (1992), where the extraction of the electron beam from the plasma layer formed near the hot cathode was investigated. The self-consistent motion of the beam particles inside the accelerating interval is described by: where is longitudinal coordinate, the time, is the plasma frequency, corresponding to the particle with charge and mass , is the position of the additional plane, which is characterized by zero field, i.e.…”

“…The model corresponding to the one-dimensional flow of the particles accelerated in a strong non-steady-state electric field between two infinite planes was proposed in Barminova & Chikhachev (1992), where the extraction of the electron beam from the plasma layer formed near the hot cathode was investigated. The self-consistent motion of the beam particles inside the accelerating interval is described by:…”

“…(2003) and Barminova & Chikhachev (2013). For some physical tasks the application of a 1-D approximation simplifies the analysis, so a one-dimensional model appears to be more useful, for instance, when considering the problem of wide flow propagation in plasma diodes and ion diodes (Barminova & Chikhachev 2012), or the propagation of the ribbon beams born in the terrestrial magnetosphere or in the laboratory while extracted from the ion and plasma sources with the slit geometry of extractors (Barminova 2014). Such models may be useful to study the laser–plasma interactions too (Bertrand et al.…”

Ensemble of ions and electrons in the electric field

“…A great number of researches dedicated for models examination of slow ion extraction process from plasma is undertaken ( [1][2][3][4][5][6]). This study uses a consecutive kinetic description of ionic and electronic system in case of presence of non zero electron flow.…”