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A numerical solution for the self-consistent differential equations describing the laminar-flow equilibrium in magnetically focused relativistic electron beams is given and proved to be available by comparison with analytical results of solid electron beam in the case of pθ=0 (magnetically shielded sources). With the numerical method, the space-charge limited current and the externally applied magnetic field of both solid and annular electron beam in three cases of pθ=0,pθ=const and pθ∝r2 (magnetically immerged sources) are presented and compared. It is shown that the conditions at the source with respect to the canonical angular momentum pθ have little effect on the space-charge limited current and the externally applied magnetic field, but more intense annular electron beam generated by the source with pθ=const. can be transported in the same drift tube under lower guided magnetic field than solid ones.
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Keywords:
- relativistic electron beams /
- laminar-flow equilibrium /
- space-charge limited current /
- guided magnetic field
[1] [1]Miller P B 1982 An Introduction to the Physics of Intense Charged Particle Beam (New York: Plenum)
[2] [2]Freund H P, Antonsen Jr T M 1996 Principles of Free-electron Lasers (London: CHAPMAN & HALL)
[3] [3]Reiser M 1977 Phys. Fluids 20477
[4] [4]Pierce J R 1944 J. Plasma Physics 15 721
[5] [5]Bennett W H 1934 Phys. Rev. 45 890
[6] [6]Alfven H 1939 Phys. Rev. 55 425
[7] [7]Lawson J D 1959 J. Nucl. Energy Pt. C 131
[8] [8]Kirstein P T, Kino G S, Waters W E 1967 Space-Charged Flow (New York: McGraw-Hill)
[9] [9]Stephens K F, Ordonez C A 2000 Phys. Plasmas 7 3108
[10] ]Sotnikov G V, Yatsenko T Y 2002 Tech. Phys. 47 535
[11] ]Uhm H S 1993 Phys. Fluids B 5 1919
[12] ]Liu J, Li Z Q 2008 17th International Conference On High-Power Particle Beams Xian, China
[13] ]Li J Q, Mo Y L 2007 Chin. Phys. 16 2716
[14] ]Hramov A, Koronovskii A, Morozov M 2008 Phys. Lett. A 372 876
[15] ]Benford J, Swegle J A 2007 Edi Schamiloglu High Power Microwaves (Second Edition) (Taylor & Francis Group,LLC)
[16] ]Kurkin S A, Hramov A E 2009 Tech. Phys. Lett. 35 23
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[1] [1]Miller P B 1982 An Introduction to the Physics of Intense Charged Particle Beam (New York: Plenum)
[2] [2]Freund H P, Antonsen Jr T M 1996 Principles of Free-electron Lasers (London: CHAPMAN & HALL)
[3] [3]Reiser M 1977 Phys. Fluids 20477
[4] [4]Pierce J R 1944 J. Plasma Physics 15 721
[5] [5]Bennett W H 1934 Phys. Rev. 45 890
[6] [6]Alfven H 1939 Phys. Rev. 55 425
[7] [7]Lawson J D 1959 J. Nucl. Energy Pt. C 131
[8] [8]Kirstein P T, Kino G S, Waters W E 1967 Space-Charged Flow (New York: McGraw-Hill)
[9] [9]Stephens K F, Ordonez C A 2000 Phys. Plasmas 7 3108
[10] ]Sotnikov G V, Yatsenko T Y 2002 Tech. Phys. 47 535
[11] ]Uhm H S 1993 Phys. Fluids B 5 1919
[12] ]Liu J, Li Z Q 2008 17th International Conference On High-Power Particle Beams Xian, China
[13] ]Li J Q, Mo Y L 2007 Chin. Phys. 16 2716
[14] ]Hramov A, Koronovskii A, Morozov M 2008 Phys. Lett. A 372 876
[15] ]Benford J, Swegle J A 2007 Edi Schamiloglu High Power Microwaves (Second Edition) (Taylor & Francis Group,LLC)
[16] ]Kurkin S A, Hramov A E 2009 Tech. Phys. Lett. 35 23
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