Calculation of Geometric Dimensions of Cold Cathode Surface in High-Voltage Glow Discharge Electron Sources

Q3 Engineering
Igor Melnyk, Serhii Tuhai, Iryna Shved, M. Yu. Skrypka
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Abstract

The paper proposes a new iterative algorithm for finding the transverse dimension of the cold cathode of high-voltage glow discharge electron guns, based on formulation of a nonlinear equation for the functional dependence of the cathode size on the discharge current and solving this equation using the Steffenson iterative method. A distinctive feature of the proposed calculation method is taking into account the dependence of high-voltage glow discharge current on the plasma boundary position. To obtain the corresponding nonlinear equation, we use the approximate theory of one-dimensional discharge gap and well-known statement of the discharge theory that the anode plasma occupies a definite volume, which is determined by concentration of charged particles, regardless of the geometry of the electrode system. There are specified the geometric parameters of the electronic system of the high-voltage glow discharge with a spherical cathode and a hollow anode, and also well as restrictions on the system of parameters that satisfy the requirements of completeness, consistency, and closure are introduced. On a basis of the numerical analysis of the proposed iterative algorithm convergence process, we show that in case of the restrictions on the introduced parameters system are satisfied, the method convergence is usually ensured. We compare the calculations results of the transverse dimension of the cathode of high-voltage glow discharge guns with correspondent experimental data. The comparative analysis results showed that proposed iterative algorithm application results in the difference between calculations and experimental data does not exceed a few percent. The research results and proposed iterative method for calculating the transverse dimension of the cold cathode of high-voltage glow discharge guns are of great practical value and can be directly used at the initial stage of designing gas discharge guns to assess their technological possibilities.

Abstract Image

高压辉光放电电子源中冷阴极表面几何尺寸的计算
摘要 本文提出了一种新的迭代算法,用于计算高压辉光放电电子枪冷阴极的横向尺寸,该算法基于阴极尺寸对放电电流的函数依赖关系的非线性方程,并使用 Steffenson 迭代方法求解该方程。所提计算方法的一个显著特点是考虑了高压辉光放电电流与等离子体边界位置的关系。为了得到相应的非线性方程,我们使用了一维放电间隙的近似理论和著名的放电理论声明,即阳极等离子体占据一定的体积,该体积由带电粒子的浓度决定,与电极系统的几何形状无关。在此基础上规定了具有球形阴极和空心阳极的高压辉光放电电子系统的几何参数,并引入了对满足完整性、一致性和封闭性要求的参数系统的限制。在对所提出的迭代算法收敛过程进行数值分析的基础上,我们证明了在满足对所引入参数体系的限制条件的情况下,通常可以确保方法的收敛性。我们将高压辉光放电枪阴极横向尺寸的计算结果与相应的实验数据进行了比较。对比分析结果表明,所提出的迭代算法应用结果与实验数据的差异不超过百分之几。高压辉光放电枪冷阴极横向尺寸的研究成果和迭代计算方法具有重要的实用价值,可直接用于气体放电枪设计的初始阶段,以评估其技术可能性。
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来源期刊
Radioelectronics and Communications Systems
Radioelectronics and Communications Systems Engineering-Electrical and Electronic Engineering
CiteScore
2.10
自引率
0.00%
发文量
9
期刊介绍: Radioelectronics and Communications Systems  covers urgent theoretical problems of radio-engineering; results of research efforts, leading experience, which determines directions and development of scientific research in radio engineering and radio electronics; publishes materials of scientific conferences and meetings; information on scientific work in higher educational institutions; newsreel and bibliographic materials. Journal publishes articles in the following sections:Antenna-feeding and microwave devices;Vacuum and gas-discharge devices;Solid-state electronics and integral circuit engineering;Optical radar, communication and information processing systems;Use of computers for research and design of radio-electronic devices and systems;Quantum electronic devices;Design of radio-electronic devices;Radar and radio navigation;Radio engineering devices and systems;Radio engineering theory;Medical radioelectronics.
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