叶片状场阴极电介质涂层的数学建模

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI:10.21638/11701/spbu10.2023.106

N. V. Egorov, E. Vinogradova, G. Doronin

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引用次数: 0

摘要

本文给出了基于叶片状场阴极的二维二极管发射系统在极坐标系下的建模结果。发射极的顶部是一个带有介电涂层的圆形。阳极是与发射极顶部同轴的圆形。第一类边界条件设置在阴极上，第一类和第二类边界条件设置在阳极上。计算静电势分布的问题被简化为求解一个常系数线性代数方程组。系统的所有几何尺寸和电极上的电位值都是问题的参数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Blade-like field cathode with a dielectric coating mathematical modeling

In this paper the results of a two-dimensional diode emission system based on a blade-like field cathode in a polar coordinate system modeling is presented. The top of the emitter is a circle with a dielectric coating. The anode is a circle coaxial to the top of the emitter. The boundary condition of the first kind is set on the cathode, and the first and second kind on the anode. The problem of calculating the electrostatic potential distribution is reduced to solving a system of linear algebraic equations with constant coefficients. All the geometric dimensions of the system and the values of the potentials on the electrodes are the parameters of the problem.

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来源期刊

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.