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Mathematical simulation of a diode system with a cylindrical field-emission tip

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Abstract

A diode system with a cylindrical field-emission tip is demonstrated. The cathode on a plane substrate represents a cylinder with a rounded tip, and the anode represents a plane. The effect of the space charge of the beam is disregarded. The geometrical sizes of the diode system serve as parameters of the problem. The distribution of the electrostatic potential over the system is determined using the method of overlapped domains that is based on separation of variables.

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Authors and Affiliations

  1. Department of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii pr. 35, Peterhof, St. Petersburg, 198504, Russia

    E. M. Vinogradova, N. V. Egorov & A. A. Klimakov

Authors
  1. E. M. Vinogradova
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  2. N. V. Egorov
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  3. A. A. Klimakov
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Corresponding author

Correspondence to E. M. Vinogradova.

Additional information

Original Russian Text © E.M. Vinogradova, N.V. Egorov, A.A. Klimakov, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 85, No. 2, pp. 20–23.

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Vinogradova, E.M., Egorov, N.V. & Klimakov, A.A. Mathematical simulation of a diode system with a cylindrical field-emission tip. Tech. Phys. 60, 176–179 (2015). https://doi.org/10.1134/S1063784215020243

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  • DOI: https://doi.org/10.1134/S1063784215020243

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