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On the Effect of Transverse Thermal Velocities of Electrons in the Converging Sheet Electron Beams Formed by Guns with Partial Magnetic Shielding of a Cathode

  • ELECTRON AND ION OPTICS
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Abstract

We report on the results of investigations of the effect of the initial thermal velocities of electrons in the converging sheet electron beams formed by guns with partial magnetic shielding of a cathode. The results are presented in the form of generalized dependences, which can be used to control the thermal beam configuration with different beam parameters and focusing magnetic fields and simulate the electron-optical systems that ensure a required current flow of such beams in the transit channel.

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Notes

  1. The formulas of the transition from the curvilinear system of coordinates to the Cartesian one have the form [5] \(\frac{x}{l} = {{x}_{1}} - {{\mu }^{2}}q_{2}^{2}\frac{{\varphi \left( {{{x}_{1}}} \right)\varphi {\kern 1pt} '\left( {{{x}_{1}}} \right)}}{2},\)\(\frac{y}{l} = \mu {{q}_{2}}\varphi \left( {{{x}_{1}}} \right)\left[ {1 - {{\mu }^{2}}{{q}^{2}}\frac{{{{\varphi }^{{'2}}}\left( {{{x}_{1}}} \right)}}{2}} \right]\). In the transit channel, we have \(\varphi {\kern 1pt} '\left( {{{x}_{1}}} \right) = 0\), \(\varphi \left( {{{x}_{1}}} \right) = {{\varphi }_{0}}\), x = x1l, y = \({{q}_{2}}{{\varphi }_{0}}{{\Phi }_{0}}.\)

  2. The condition s/(dS0) \( \gg \) 1 should be met more strictly in the model of an infinitely wide beam in the gun region. However, this condition can apparently be weakened for the converging beam, since the current beam thickness in the gun decreases.

  3. The calculation using Eqs. (1)–(3) at \({{\tilde {n}}_{0}}\) ≈ 3.55 and a current content of 0.99 yields the excess of the conventional thermal beam boundary in the antinodes above the laminar beam by a factor of ∼1.37.

REFERENCES

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  2. S. I. Molokovskii and F. D. Sushkov, Intensive Electron and Ionic Beams (Energoatomizdat, Moscow, 1991) [in Russian].

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  3. Yu. G. Gamayunov and E. V. Patrusheva, J. Commun. Technol. Electron. 64, 510 (2019).

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  4. P. T. Kirstein, G. S. Kino, and W. E. Waters, Space-Charge Flou (McGraw-Hill, New York, 1967; Mir, Moscow, 1970).

  5. Yu. G. Gamayunov and E. V. Patrusheva, J. Commun. Technol. Electron. 62, 1291 (2017).

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Funding

This study was supported by the Russian Foundation for Basic Research, project no. 18-02-00666.

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Authors and Affiliations

  1. Saratov State University, 410012, Saratov, Russia

    Yu. G. Gamayunov & E. V. Patrusheva

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  1. Yu. G. Gamayunov
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  2. E. V. Patrusheva
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Correspondence to Yu. G. Gamayunov.

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Gamayunov, Y.G., Patrusheva, E.V. On the Effect of Transverse Thermal Velocities of Electrons in the Converging Sheet Electron Beams Formed by Guns with Partial Magnetic Shielding of a Cathode. J. Commun. Technol. Electron. 65, 552–557 (2020). https://doi.org/10.1134/S1064226920050058

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  • DOI: https://doi.org/10.1134/S1064226920050058

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