Electron cyclotron resonance plasma heating in the CERA-RX facility under a randomly pulsating electric field
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Electron Cyclotron Resonance Plasma Heating in the CERARX Facility under a Randomly Pulsating Electric Field A. A. Balmashnov, S. P. Stepina, and A. M. Umnov Peoples’ Friendship University of Russia, ul. MiklukhoMaklaya 6, Moscow, 117198 Russia email: [email protected] Received June 20, 2011
Abstract—The results of the numerical simulation of the electron cyclotron resonance (ECR) heating of plasma particles in the CERARX facility under a randomly pulsating electric field (the collective effects taken into account) are presented. Under these conditions, the electron energy spectrum was found to be depleted to the low energy region due to an increase in the number of particles in the high energy region. The obtained effect depends on the polarity of the pulsating electric field. DOI: 10.1134/S1063780X12080053
INTRODUCTION The efficiency of heating of the plasma electron component under the conditions of electron cyclotron resonance (ECR) is of both scientific and practical interest, in particular, as applied to the development of Xray ECR generators [1–3]. In contrast to the systems consisting of hollow res onators placed in a magnetic field with a mirror con figuration that are traditionally used for these pur poses, the authors suggested using coaxial resonators [4] that allow for a substantial decrease of their overall dimensions. In connection with the fact that during the ECR heating in stationary magnetic fields the greater part of electrons is positioned in the low energy range of their distribution function due to the effect of relativistic factors, the authors started investigating [5] the effect of a randomly pulsating electric field on the nature of the electron energy distribution with an aim to increase the energy efficiency of the ECR heating. The results of the computational experiments given in [5] showed that, irrespective of the pulsating field polarity, its presence yields a decrease in the number of the ECR particles in the low energy region of the dis tribution function and their increase in the high energy region. However, these investigations were purely demonstrative since the calculations did not take into account selfconsistent fields that may substantially affect the analyzed interaction. This paper presents the results of the calculations performed with an aim to evaluate the degree of influ ence of collective effects occurring in plasma on the electron heating in the CERARX ECR Xray source [4].
FORMULATION OF THE PROBLEM AND THE METHOD FOR ITS SOLUTION The effect of a pulsating electric field on the ECR heating of particles, with a plasma electric selffield taken into account, was studied using numerical 3D simulation of this process for a stationary magnetic field and a microwave electric field generated in the CERARX Xray source [4]. The CERARX facility consists of a cylindrical halfwave coaxial resonator of a variable cross section excited at the fundamental mode (TEM, ω = 1.5 × 1010 s–1). The central part of the resonator was 9.0 cm
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