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Solutions in elementary functions for electron beams with a spatial axis and elliptic section
- Authors: Sapronova Т.М.1, Syrovoy V.А.1
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Affiliations:
- Russian Federal Nuclear Center All-Russian Scientific Research Institute of Technical Physics named after academician E.I. Zababakhin
- Issue: Vol 70, No 1 (2025)
- Pages: 37-52
- Section: ЭЛЕКТРОННАЯ И ИОННАЯ ОПТИКА
- URL: https://gynecology.orscience.ru/0033-8494/article/view/684120
- DOI: https://doi.org/10.31857/S0033849425010057
- EDN: https://elibrary.ru/HJKZXU
- ID: 684120
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Abstract
Exact solutions of a non-relativistic non-monoenergetic beam are presented for flows with an elliptical cross-section and a spatial axis in a magnetic field for various laws of change of axial velocity.
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About the authors
Т. М. Sapronova
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, Krasnokazarmennaya St., 12, Moscow, 111250V. А. Syrovoy
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, Krasnokazarmennaya St., 12, Moscow, 111250References
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Supplementary files
Supplementary Files
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1.
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2.
Fig. 1. The region of existence of Z-solenoidal flows.
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3.
Fig. 2. The cross-section of the elliptical current tube and the curve along which the center of the ellipse moves.
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4.
Fig. 3. Flow parameters for solution (20).
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5.
Fig. 4. Functions w, Vc, Vl for solution (20).
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6.
Fig. 5. Functions w, Vc, Vl for solution (22).
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7.
Fig. 6. Flow parameters for solution (22).
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8.
Fig. 7. Flow parameters for solution (31).
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9.
Fig. 8. Functions w, Vc, Vl for solution (31).
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10.
Fig. 9. Flow parameters for solution (32).
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11.
Fig. 10. Functions w, Vc, Vl for solution (32).
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12.
Fig. 11. Flow parameters for solution (48).
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13.
Fig. 12. Functions w, Vc, Vl for solution (48).
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