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Space-charge-limited (SCL) current density for time-invariant injection (under long-pulse condition) via the diode cathode is the maximum transportable density, while it can be leveraged higher when the injection pulselength becomes shorter…

Plasma Physics · Physics 2026-02-11 H. Huang , Y. Liu

The maximum current that can be transported across a vacuum diode is limited by forces arising due to space charge. In a planar diode configuration, the space charge limited (SCL) current density from a planar emitting patch is given by the…

Plasma Physics · Physics 2021-12-10 Gaurav Singh , Raghwendra Kumar , Debabrata Biswas

Drift space is a region free from externally applied fields. It is an important part of many devices involving charged particle beams. The space charge effect imposes a limit on the current that can be transported through a drift space. A…

Plasma Physics · Physics 2009-11-11 Debabrata Biswas , Raghwendra Kumar

Understanding space-charge limited current density (SCLCD) is fundamentally and practically important for characterizing many high-power and high-current vacuum devices. Despite this, no analytic equations for SCLCD with nonzero…

Classical Physics · Physics 2023-01-04 N. R. Sree Harsha , Jacob M. Halpern , Adam M. Darr , Allen L. Garner

We simulate numerically the classical charge dynamics in a microscopic, planar, vacuum diode with a finite emitter area and a finite number of electrons in the gap. We assume electrons are emitted under space-charge limited conditions with…

Accelerator Physics · Physics 2020-12-15 Johannes Bergur Gunnarsson , Kristinn Torfason , Andrei Manolescu , Agust Valfells

We investigate the dynamics of a space-charge limited, photoinjected, electron beam in a microscopic vacuum diode. Due to the small nature of the system it is possible to conduct high-resolution simulations where the number of simulated…

Plasma Physics · Physics 2015-05-18 Andreas Pedersen , Andrei Manolescu , Agust Valfells

We consider the steady state limiting current that can be carried by an infinite periodic array of thin electron sheets spaced by period p in a planar diode of gap voltage V and gap separation d. Our primary assumptions are (1) electron…

Plasma Physics · Physics 2023-11-14 David Chernin , Dion Li , Y. Y. Lau

We use computational simulations to study the electron emission and propagation in planar vacuum diodes. We show how space-charge affects thermionic emission from cathodes with two different values of work function that form a checkerboard…

Computational Physics · Physics 2021-01-25 Anna Sitek , Kristinn Torfason , Andrei Manolescu , Agust Valfells

It is widely assumed that thermionic current flow through a plasma is limited by a "space-charge limited" (SCL) cathode sheath that consumes the hot cathode's negative bias and accelerates upstream ions into the cathode. Here, we formulate…

Plasma Physics · Physics 2018-04-25 Michael D. Campanell

An approximate analytic solution is constructed for the 2-d space charge limited emission by a cathode surrounded by non emitting conducting ledges of width Lambda. An essentially exact solution (via conformal mapping) of the electrostatic…

Plasma Physics · Physics 2009-11-10 A. Rokhlenko , Joel L. Lebowitz

The space-charge limited current (SCLC) in a vacuum diode is given by the Child-Langmuir law (CLL), whose electric potential $\varphi(x) = (\it{x/D})^{4/3}$, where x is the spatial coordinate across the gap and D is the gap separation…

Plasma Physics · Physics 2025-04-21 Allen L. Garner , N. R. Sree Harsha

An approximate analytic theory is developed and implemented numerically for calculating the space charge limited current and electric field of a thin cylindrical beam or current sheet between two wide parallel electrodes. The flow is…

Plasma Physics · Physics 2009-11-10 A. Rokhlenko , J. L. Lebowitz

We present a microscopic derivation of the space charge limited current for the motion of non-relativistic charged particles inside a parallel vacuum tube diode taking into account the radiation reaction force. We study the space charged…

Plasma Physics · Physics 2017-11-28 Gabriel Gonzalez

Based on the assumption that the contact barrier height determines the current flow in organic semiconductor-based electronic devices, charge injection at metal-organic (MO) interfaces has been extensively investigated, while space-charge…

Materials Science · Physics 2009-10-08 Yi Zheng , Andrew T. S. Wee , Cedric Troadec , N. Chandrasekhar

By considering the changes in the interface charge-carrier densities of a single-carrier device as a function of injection-barrier heights and comparing these to the equilibrium, background charge-carrier density of a device with Ohmic…

Mesoscale and Nanoscale Physics · Physics 2022-10-26 Jason A. Röhr

A drastic cumulation of current density caused by electrostatic repulsion in relativistic vacuum diodes with ring-type cathodes is described theoretically and confirmed experimentally. The distinctive feature of the suggested cumulation…

A one-dimensional (1D) model has been constructed to study the transition of the time-dependent ultrafast laser photo-electron emission from a flat metallic surface to the space charge limited (SCL) current, including the effect of…

Plasma Physics · Physics 2024-03-12 Yangjie Liu , L. K. Ang

Numerical solutions to the 1D steady-state Vlasov-Poisson system are used to develop a straightforward empirical formula for the electric current density transmitted through a vacuum diode (voltage gap) as a function of gap distance, gap…

Plasma Physics · Physics 2024-09-09 Jesse M. Snelling , Gregory R. Werner , John R. Cary

The Child-Langmuir law is investigated numerically using a fully electromagnetic particle-in-cell code for a closed axially symmetric diode. It is found that the average current transmitted to the anode increases with the injected current…

Plasma Physics · Physics 2009-11-10 Debabrata Biswas , Raghwendra Kumar , R. R. Puri

In this Letter we research the space charge limiting current value at which the oscillating virtual cathode is formed in the relativistic electron beam as a function of the external magnetic field guiding the beam electrons. It is shown…

Plasma Physics · Physics 2009-11-13 Alexander E. Hramov , Alexey Koronovskii , Mikhail Morozov , Alexander Mushtakov
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