Simple solutions for relativistic generalizations of the Child–Langmuir law and the Langmuir–Blodgett law

Zhang, Yongpeng; Liu, Guozhi; Zhang, Yang; Xing, Qingzi; Shao, Hongxia; Ren-zhen, Xiao; Zhong, Huaqiang; Lin, Y.

doi:10.1063/1.3124135

Cited by 10 publications

(4 citation statements)

References 19 publications

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“…Approximate generalization of the Langmuir-Blodgett law for the relativistic regime is given in Zhang et al (2009). Electron beam generation studies were carried out by Roy et al (2009) in high power cylindrical diode in order to investigate the effect of the accelerating gap and diode voltage on the electron beam current.…”

Section: Diagnosticsmentioning

confidence: 99%

Electron-beam accelerator for pumping of a Xe₂ lamp

et al. 2012

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A high-current electron-beam accelerator for pumping of a Xe 2 lamp was developed. It is intended for injection of an electron beam into cylindrical gas cavity (diameter of 400 mm, length of 1600 mm, and the absolute pressure up to 3 bars). Two electron diodes in parallel are used in the accelerator. Each diode is connected to a linear transformer driver with vacuum insulation of a secondary turn. The next parameters of the accelerator have been obtained: diode voltage -550-600 kV, diode current -276-230 kA, current rise time -160 ns, maximum power of the electron beam -130 GW, pulse width on half maximum -160 ns, electron beam energy at power level not less than half of maximum value -20 kJ. The total energy of electrons, which pass through a 40 μm Ti foil into the Xe cell, is 8-9 kJ in the 150-160 ns pulse (full width at half maximum) mean specific power of energy input into gas cavity is about 330 kW/cm 3 . Design of the accelerator and test results are presented and discussed in this paper.

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Section: Diagnosticsmentioning

confidence: 99%

Electron-beam accelerator for pumping of a Xe₂ lamp

et al. 2012

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“…In this work, we address the practical issue of time-varying injection current by solving the same 1D pressureless Euler-Poisson equations, in order to unfold the physics of time-varying injection flow of electrons. According to our simulation, it seems unlikely that one can transmit a time-varying injection j(t) across the diode that is time-averagely higher than the conventional SC limited current density, in both classical 4 and relativistic regimes 8,23 . In our paper, the electrons are injected into the diode gap following the prescribed time profiles.…”

Section: Introductionmentioning

confidence: 83%

Space-charge effect of the time-varying electron injection in a diode: classical and relativistic regimes

Liu,

Tang,

2017

Preprint

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Conventionally, space-charge (SC) limited current density is defined as the maximal current density allowed to traverse a diode under a DC voltage when a time-invariant flow is injected from the cathode. In this work, we study the SC limited current density under a time-varying injection for both classical and relativistic regimes and determine the maximal amount of limited current density under certain conditions. Our simulations show that it is unlikely that a time-varying injection emitted from cathode exceeds the known SC limits, in either classical or relativistic regime.

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“…6 This classical law suitable for the nonrelativistic regime has been modified to simple approximate expressions applicable for calculating the SCL currents of one dimensional ͑1D͒ steady-state coaxial diodes under the relativistic regime. 7 The LangmuirBlodgett law has been extended to two dimensions by performing two dimensional ͑2D͒ particle in cell simulations. 8 But the results obtained using these simulations were limited to low voltage and current regime ͑few kilovolts and few amperes͒.…”

Section: Introductionmentioning

confidence: 99%

Electron beam current in high power cylindrical diode

et al. 2010

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Intense electron beam generation studies were carried out in high power cylindrical diode to investigate the effect of the accelerating gap and diode voltage on the electron beam current. The diode voltage has been varied from 130 to 356 kV, whereas the current density has been varied from 87 to 391 A/cm2 with 100 ns pulse duration. The experimentally obtained electron beam current in the cylindrical diode has been compared with the Langmuir–Blodgett law. It was found that the diode current can be explained by a model of anode and cathode plasma expanding toward each other. However, the diode voltage and current do not follow the bipolar space-charge limited flow model. It was also found that initially only a part of the cathode take part in the emission process. The plasma expands at 4.2 cm/μs for 1.7 cm anode-cathode gap and the plasma velocity decreases for smaller gaps. The electrode plasma expansion velocity of the cylindrical diode is much smaller as compared with the planar diode for the same accelerating gap and diode voltage. Therefore, much higher voltage can be obtained for the cylindrical diodes as compared with the planar diodes for the same accelerating gap.

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Simple solutions for relativistic generalizations of the Child–Langmuir law and the Langmuir–Blodgett law

Cited by 10 publications

References 19 publications

Electron-beam accelerator for pumping of a Xe₂ lamp

Electron-beam accelerator for pumping of a Xe₂ lamp

Space-charge effect of the time-varying electron injection in a diode: classical and relativistic regimes

Electron beam current in high power cylindrical diode

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Simple solutions for relativistic generalizations of the Child–Langmuir law and the Langmuir–Blodgett law

Cited by 10 publications

References 19 publications

Electron-beam accelerator for pumping of a Xe2 lamp

Electron-beam accelerator for pumping of a Xe2 lamp

Space-charge effect of the time-varying electron injection in a diode: classical and relativistic regimes

Electron beam current in high power cylindrical diode

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Product

Resources

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Electron-beam accelerator for pumping of a Xe₂ lamp

Electron-beam accelerator for pumping of a Xe₂ lamp