Formation of the ends of ribbon electron beams

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Abstract

In the paraxial approximation, a solution of the external problem for the end region of cylindrical beams with a contour in the form of a rounded rectangle and parallelogram is constructed for emission in ρ- and T-modes.

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About the authors

T. M. Sapronova

Russian Federal Nuclear Center All-Russian Scientific Research Institute of Technical Physics named after academician E.I. Zababakhin

Author for correspondence.
Email: red@cplire.ru

All-Russian Electrotechnical Institute

Russian Federation, Moscow

V. A. Syrovoy

Russian Federal Nuclear Center All-Russian Scientific Research Institute of Technical Physics named after academician E.I. Zababakhin

Email: red@cplire.ru

All-Russian Electrotechnical Institute

Russian Federation, Moscow

References

  1. Данилов В.Н., Сыровой В.А. // РЭ. 1977. Т. 22. № 7. С. 1473.
  2. Данилов В.Н., Сыровой В.А. // Изв. вузов. Радиофизика. 1977. Т. 20. № 11. С. 1727.
  3. Сыровой В.А. Теория интенсивных пучков заряженных частиц. М.: Энергоатомиздат, 2004.
  4. Manuilov V.N., Zaslavsky V. Yu., Ginzburg N.S. et al. // Phys. Plasmas. 2014. V. 21. № 2. P. 023106.
  5. Сапронова Т.М., Сыровой В.А. // РЭ. 2017. Т. 62. № 11. С. 1106.
  6. Сыровой В.А. // РЭ. 2005. Т. 50. № 12. С. 1503.

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2. Fig. 1. End region, (a) – rectangular contour, (b) – parallelogram, ρ-mode.

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3. Fig. 2. End region, (a) – rectangular contour, (b) – parallelogram, T-mode.

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4. Fig. 3. Spatial evolution of the equipotential for a rectangular contour, T-mode; (a) – , (b) – .

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