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Simulation of the electric field distribution in the electrode system of a device forming a high-voltage gas discharge

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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.

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References

  1. A. N. Komov, A. I. Kolpakov, N. I. Bondareva, and V. V. Zakharenko, Prib. Tekh. Eksp., No. 5, 218 (1984).

    Google Scholar 

  2. N. L. Kazanskii, A. I. Kolpakov, and V. A. Kolpakov, Mikroelektronika 33, 218 (2004).

    Google Scholar 

  3. V. A. Kolpakov, A. I. Kolpakov, and S. V. Krichevskii, Elektron. Prom-st., No. 2, 41 (1996).

    Google Scholar 

  4. V. A. Kolpakov, A. I. Kolpakov, and S. V. Krichevskii, Komp’yut. Opt., No. 28, 80 (2005).

    Google Scholar 

  5. V. A. Kolpakov and A. I. Kolpakov, Komp’yut. Opt., No. 25, 112 (2003).

    Google Scholar 

  6. N. L. Kazanskii, V. A. Kolpakov, A. I. Kolpakov, and S. V. Krichevskii, Nauchn. Priborostr. 22, 13 (2012).

    Google Scholar 

  7. V. A. Soifer, N. L. Kazanskii, and V. A. Kolpakov, RF Patent No. 2333619 (2004), Byull. Izobret., No. 24 (2008).

  8. 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].

    Google Scholar 

  9. V. A. Kolpakov, A. I. Kolpakov, and V. V. Podlipnov, Tech. Phys. 58, 505 (2013).

    Article  Google Scholar 

  10. N. N. Mirolyubov, M. B. Kostenko, M. L. Levinshtein, and N. N. Tikhodeev, Calculation Methods of Electrostatistic Fields (Vysshaya Shkola, Moscow, 1963) [in Russian].

    Google Scholar 

  11. M. A. Lavren’t’ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable (Springer, Berlin, 1959).

    Google Scholar 

  12. 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).

    Google Scholar 

  13. Yu. P. Raizer, Gas Discharge Physics (Springer, Berlin, 1991).

    Book  Google Scholar 

  14. A. A. Kudryavtsev, A. S. Smirnov, and L. D. Tsendin, Physics of Glow Discharge: A Tutorial (Lan’, St. Petersburg, 2010) [in Russian].

    Google Scholar 

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Correspondence to M. A. Markushin.

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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.

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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

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  • DOI: https://doi.org/10.1134/S1063784215030172

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