Solutions in elementary functions for electron beams with a spatial axis and elliptic section

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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, 111250

V. 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, 111250

References

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Supplementary files

Supplementary Files
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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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