Space charge limiting current of an electron beam transported in a coaxial drift chamber

Sotnikov, G. V.; Yatsenko, Tetyana

doi:10.1134/1.1479978

Cited by 16 publications

(13 citation statements)

References 4 publications

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“…See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. direction of the beam propagation, magnetic field to be sufficiently strong), we observe that the scalar potential distribution (of the remaining self-electric field) induced by the beam in a coaxial drift tube of finite length, ϕ(r, z), obeys the following Poisson's equation (see [8], [22]):…”

Section: Basic Equationsmentioning

confidence: 99%

“…These provide a useful limit to the finite length circular cylindrical geometry. Therefore, in the linear approximation, one can write an analytical expression for the (dimensionless) scalar potential distribution ( f = qϕ/(m q c 2 )) induced by an annular, finite thickness, axisymmetric relativistic electron beam in a finite length coaxial drift tube analogously to that in an unbounded one [8], [11]…”

Section: A Expressions For the Scalar Potentialmentioning

confidence: 99%

“…E STIMATES of space-charge limited (SCL) current in planar diode [1], [2], circular cylindrical [3]- [5], and coaxial [6]- [8] geometries for (relativistic) charged-particle beams propagating in the strong guide magnetic field provide reasonable evaluation for SCL current values of pulsed (relativistic) charged-particle beams used in various modern applications (see [9], [10] and references in [11]). It turned out that the question of the scalar potential transverse distribution is of a paramount importance to such estimates.…”

Section: Introductionmentioning

confidence: 99%

“…Earlier, several authors studied the SCL current of relativistic charged-particle beams propagating in unbounded (i.e., long) in the direction of the beam transport cylindrical [13] and coaxial drift tubes [14], [15] in the strong guide magnetic field. We proposed simple but reliable analytical and numerical estimates of SCL current of annular relativistic finite thickness charged-particle beams propagating in long (unbounded) coaxial drift tubes, which may also have dielectric inserts lining the tube coaxial conductors and a bias voltage applied between the inner and outer conductors of the drift tube, in the strong magnetic field approximation [8], [11]. Some researchers have found analytical and developed numerical estimates of the charged-particle beam SCL current in finite in the (longitudinal) direction of the beam propagation (i.e., bounded) cylindrical drift tubes [12], [16]- [20].…”

Section: Introductionmentioning

confidence: 99%

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Relativistic Charged-Particle Beam Space-Charge Limited Current in Finite Length Coaxial Drift Tube

Yatsenko

Sotnikov

Portillo

et al. 2019

IEEE Trans. Plasma Sci.

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In the strong axial (guide) magnetic field and uniform beam density approximations, we calculate scalar potential distribution induced by axisymmetric annular relativistic charged-particle beam in a finite-length coaxial drift tube. This scalar potential distribution allows us to find an approximate radial position at which the extremum of the scalar potential is attained in the coaxial drift tube inside the annular relativistic charged-particle beam. By knowing the approximate extremal radial position, we obtain the analytical estimate for the space-charge limited (SCL) current of axisymmetric annular (finite thickness) relativistic charged-particle beam propagating in strong axial magnetic field in a finite length coaxial drift tube and establish a simple correspondence of this result to that in a long coaxial drift tube. A comparison of numerical nonlinear calculations and the analytical estimate for the SCL current in the finite-length coaxial drift tube is also given.

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Section: Basic Equationsmentioning

confidence: 99%

Section: A Expressions For the Scalar Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Relativistic Charged-Particle Beam Space-Charge Limited Current in Finite Length Coaxial Drift Tube

Yatsenko

Sotnikov

Portillo

et al. 2019

IEEE Trans. Plasma Sci.

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“…Nonetheless, the maximum current that can be formed inside the vacuum arc thruster has rarely been treated. To fill this gap, we refer to the idea of space‐charge‐limited current, which has been widely used in high‐power microwave devices but for electron beams, and derive from the very beginning of Poisson's equation for the ion beam, which is the main component of the plasma current to generate thrust. Two common examples are considered, i.e., ring‐type and coaxial‐type vacuum arc thrusters.…”

Section: Introductionmentioning

confidence: 99%

Space‐charge‐limited current of vacuum arc thruster

Zhang¹,

Chang

et al. 2020

Contributions to Plasma Physics

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To optimize thrust performance, the expression of space‐charge‐limited current for vacuum arc thruster is derived from Poisson's equation. The commonly used ring‐type and coaxial‐type vacuum arc thrusters are simplified to the equivalent current sheet in planar geometry and cylindrical capacitor, respectively, for this calculation. Both the spatial distribution and peak magnitude of space‐charge‐limited current are given explicitly, together with their dependences on gap distance, applied voltage, charge number, and ion mass. For typical experimental parameters of the vacuum arc thruster, it is shown that the maximum current density drops significantly when the gap distance becomes large and grows when the applied voltage increases; moreover, a cathode material of lower atomic weight yields a higher current density. The expressions of total current for these two types of vacuum arc thruster are also presented. This work, to our best knowledge, is the first application of space‐charge‐limited current to the vacuum arc thruster and practically very interesting for engineering design.

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Limiting current enhancements for a relativistic electron beam propagating through coaxial cylinders

Baedke

2009

Physics of Plasmas

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Articles you may be interested inTime growth rate and field profiles of hybrid modes excited by a relativistic elliptical electron beam in an elliptical metallic waveguide with dielectric rod Phys. Plasmas 19, 102110 (2012); 10.1063/1.4759455Limiting current of axisymmetric relativistic charged-particle beam propagating in strong axial magnetic field in coaxial drift tube Excitation of a surface plasma wave over a plasma cylinder by a relativistic electron beam Phys. Plasmas 15, 073504 (2008);

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Space charge limiting current of an electron beam transported in a coaxial drift chamber

Cited by 16 publications

References 4 publications

Relativistic Charged-Particle Beam Space-Charge Limited Current in Finite Length Coaxial Drift Tube

Relativistic Charged-Particle Beam Space-Charge Limited Current in Finite Length Coaxial Drift Tube

Space‐charge‐limited current of vacuum arc thruster

Limiting current enhancements for a relativistic electron beam propagating through coaxial cylinders

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