Abstract
Penning discharge represent a gas discharge, that can exist only in presence of a magnetic field of permanent magnets or current solenoids. Based on this at VNIIA a series of experiments were performed where discharge currents were recorded for various cell geometries, voltage, and pressure. For the correct calculation of the current-voltage characteristics of the system it is necessary to calculate the distribution of the magnetic field inside the gas discharge chamber. Thus, a computer program was developed that calculates the magnetic field of a ring magnet with the specified parameters. The results obtained using the program was compared with the experimental and numerical data reported in literature. Using this approach two-dimensional distribution of magnetic field in the Penning cell was calculated and preliminary results on the electrodynamic structure of plasma of the Penning gas discharge corresponding to one studied in VNIIA experiments were obtained.
Highlights
Nowadays permanent magnets are used in many applications [1]: source of charged particles, manometers and ion pumps
In which permanent magnets are used, is Penning gas discharge [2]. It is an example of the system in which formation and sustaining of gas discharge plasma is determined by the presence of axial magnetic field created by permanent magnets or solenoids
The distribution of the magnetic field affects the motion of charged particles and the structure of the gas discharge plasma in the Penning cell
Summary
Nowadays permanent magnets are used in many applications [1]: source of charged particles, manometers and ion pumps. The distribution of the magnetic field affects the motion of charged particles and the structure of the gas discharge plasma in the Penning cell. The problem of finding the magnetic field distribution is solved by numerical methods, but for systems where the permanent magnets have a simple shape (ring topology) Based on the magnetic field distribution calculated using the developed code preliminary results on the electrodynamics structure of Penning discharge studied in [6] were reported. 2. Analytical method The calculation of the magnetic field generated by the annular permanent magnet can be obtained by the method that was presented in [7]. This method uses a Coulombian model and in the case of axial polarization, the formulas for calculation of the magnetic field are as follows:
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