Abstract
We propose a model of the electric field distribution in the electrode system of a gas-discharge device. The possibility of application the method of conformal mapping of a function of a complex variable for describing analytically the form of the distribution of equipotential lines of the field in the region of the circular orifice in the anode of the gas discharge device is demonstrated. The method for obtaining a system of parametric equations for determining the equipotential lines and field lines is described. We obtain the theoretical maps of the electric field distribution, which make it possible to determine their relation with the electrophysical parameters of the electrode system of the device.
Similar content being viewed by others
References
A. N. Komov, A. I. Kolpakov, N. I. Bondareva, and V. V. Zakharenko, Prib. Tekh. Eksp., No. 5, 218 (1984).
N. L. Kazanskii, A. I. Kolpakov, and V. A. Kolpakov, Mikroelektronika 33, 218 (2004).
V. A. Kolpakov, A. I. Kolpakov, and S. V. Krichevskii, Elektron. Prom-st., No. 2, 41 (1996).
V. A. Kolpakov, A. I. Kolpakov, and S. V. Krichevskii, Komp’yut. Opt., No. 28, 80 (2005).
V. A. Kolpakov and A. I. Kolpakov, Komp’yut. Opt., No. 25, 112 (2003).
N. L. Kazanskii, V. A. Kolpakov, A. I. Kolpakov, and S. V. Krichevskii, Nauchn. Priborostr. 22, 13 (2012).
V. A. Soifer, N. L. Kazanskii, and V. A. Kolpakov, RF Patent No. 2333619 (2004), Byull. Izobret., No. 24 (2008).
N. L. Kazanskii and V. A. Kolpakov, Formation of Optical Microrelief in Out-of-Cathode High-Voltage Gas-Discharge Plasma (Radio i Svyaz’, Moscow, 2009) [in Russian].
V. A. Kolpakov, A. I. Kolpakov, and V. V. Podlipnov, Tech. Phys. 58, 505 (2013).
N. N. Mirolyubov, M. B. Kostenko, M. L. Levinshtein, and N. N. Tikhodeev, Calculation Methods of Electrostatistic Fields (Vysshaya Shkola, Moscow, 1963) [in Russian].
M. A. Lavren’t’ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable (Springer, Berlin, 1959).
A. B. Novgorodtsev, A. R. Fetkhiev, and I. S. Fetkhieva, Application of Complex Variable Function to Calculation of Electrostatic Fields of Irregular Shape Electrodes: A Tutorial (Ufimsk. ordena Lenina Aviats. Inst. im. Sergo Ordzhonikidze, Ufa, 1986).
Yu. P. Raizer, Gas Discharge Physics (Springer, Berlin, 1991).
A. A. Kudryavtsev, A. S. Smirnov, and L. D. Tsendin, Physics of Glow Discharge: A Tutorial (Lan’, St. Petersburg, 2010) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.A. Markushin, V.A. Kolpakov, S.V. Krichevskii, A.I. Kolpakov, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 85, No. 3, pp. 60–64.
Rights and permissions
About this article
Cite this article
Markushin, M.A., Kolpakov, V.A., Krichevskii, S.V. et al. Simulation of the electric field distribution in the electrode system of a device forming a high-voltage gas discharge. Tech. Phys. 60, 376–380 (2015). https://doi.org/10.1134/S1063784215030172
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784215030172