Blade-like field cathode with a dielectric coating mathematical modeling

Nickolay V. Egorov; Ekaterina M. Vinogradova; Grigoriy G. Doronin

doi:10.21638/11701/spbu10.2023.106

Authors

Nickolay V. Egorov St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation https://orcid.org/0000-0003-4721-1377
Ekaterina M. Vinogradova St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation https://orcid.org/0000-0002-2333-5626
Grigoriy G. Doronin St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation

DOI:

https://doi.org/10.21638/11701/spbu10.2023.106

Abstract

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.

Keywords:

micro- and nanoelectronics, field emitter, mathematical modeling, electrostatic potential distribution, boundary-value problem

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References

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