A self-oscillating electron beam experiment

Siman-Tov, M.; Leopold, J. G.; Krasik, Yakov E.

doi:10.1063/1.5140037

Cited by 4 publications

(1 citation statement)

References 11 publications

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“…Therefore, there are extensions to the CL law to the cylindrical and spherical geometries [5]− [9], multidimensions [10]− [13], quantum regime [14]− [16], relativistic effect [17]− [20], time dependent current injection [21]− [23], and influence of initial velocity [24]− [27]. Moreover, the theories of SCL have been used to make an investigation of some space charge dominated systems, such as THz oscillation [28]− [32], Coulomb blockade [33], bipolar flow [34]− [37], optical field emission at high field [38]− [44], photon-enhanced thermionic energy converters (PETEC) [45], and nanodiodes [46].…”

Section: Introductionmentioning

confidence: 99%

A Numerical Approach for Space Charge Limited Bipolar Flow in Cylindrical diodes

Liao

Yao

Zhu

2021

IEEE J. Electron Devices Soc.

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In this paper, a numerical iteration approach to resolve the space charge limited (SCL) bipolar flow problem in cylindrical geometries has been developed. Such an approach is basis for the simultaneous determination of the unknown current densities and the potential distribution. We employed this method to study the characteristics of the SCL bipolar flow. By considering a cylindrical geometry with a cathode radius Rc and an anode radius Ra, the enhancement over the classical Langmuir-Blodgett (LB) law is investigated as a function of Rc/Ra. It is found that for the bipolar flow model, the SCL current density can be given by F×JLB, where F and JLB represent the enhancement factor on account of the influence of ions and the LB law, respectively. The enhancement factor F follows a Rc/Ra scaling and gradually converges to a constant with increasing Rc/Ra. The planar bipolar flow solution is recovered in the condition where the values of Rc and Ra are much greater than that of the gap spacing.

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Section: Introductionmentioning

confidence: 99%

A Numerical Approach for Space Charge Limited Bipolar Flow in Cylindrical diodes

Liao

Yao

Zhu

2021

IEEE J. Electron Devices Soc.

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Space–charge limited current in nanodiodes: Ballistic, collisional, and dynamical effects

Zhang

Ang

Garner

et al. 2021

Journal of Applied Physics

142

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This Perspective reviews the fundamental physics of space–charge interactions that are important in various media: vacuum gap, air gap, liquids, and solids including quantum materials. It outlines the critical and recent developments since a previous review paper on diode physics [Zhang et al. Appl. Phys. Rev. 4, 011304 (2017)] with particular emphasis on various theoretical aspects of the space–charge limited current (SCLC) model: physics at the nano-scale, time-dependent, and transient behaviors; higher-dimensional models; and transitions between electron emission mechanisms and material properties. While many studies focus on steady-state SCLC, the increasing importance of fast-rise time electric pulses, high frequency microwave and terahertz sources, and ultrafast lasers has motivated theoretical investigations in time-dependent SCLC. We particularly focus on recent studies in discrete particle effects, temporal phenomena, time-dependent photoemission to SCLC, and AC beam loading. Due to the reduction in the physical size and complicated geometries, we report recent studies in multi-dimensional SCLC, including finite particle effects, protrusive SCLC, novel techniques for exotic geometries, and fractional models. Due to the importance of using SCLC models in determining the mobility of organic materials, this paper shows the transition of the SCLC model between classical bulk solids and recent two-dimensional (2D) Dirac materials. Next, we describe some selected applications of SCLC in nanodiodes, including nanoscale vacuum-channel transistors, microplasma transistors, thermionic energy converters, and multipactor. Finally, we conclude by highlighting future directions in theoretical modeling and applications of SCLC.

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Space Charge Limited Current and Induced Particle Reflection With a Time-Varying Current Injection

Zhu

Liao

Yao

2022

IEEE Trans. Electron Devices

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A self-oscillating electron beam experiment

Cited by 4 publications

References 11 publications

A Numerical Approach for Space Charge Limited Bipolar Flow in Cylindrical diodes

A Numerical Approach for Space Charge Limited Bipolar Flow in Cylindrical diodes

Space–charge limited current in nanodiodes: Ballistic, collisional, and dynamical effects

Space Charge Limited Current and Induced Particle Reflection With a Time-Varying Current Injection

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