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
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 = \({{q}_{2}}{{\varphi }_{0}}{{\Phi }_{0}}.\)
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.
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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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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