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Field emission studies incorporating the effect of space charge reveal that for planar emitters, the steady-state field $E_P$, after initial transients, settles down to a value lower than the vacuum field $E_L$. The ratio $\vartheta =…

Accelerator Physics · Physics 2022-03-29 Debabrata Biswas , Raghwendra Kumar , Gaurav Singh

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

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

For field emission (FE), it is widely expected that its emitting current density $J$ will become space-charge-limited current (SCLC) due the built-up of charge in-transit within a gap spacing $D$ biased at sufficiently large voltage $V$. In…

Plasma Physics · Physics 2021-05-24 Cherq Chua , Chun Yun Kee , Yee Sin Ang , L. K. Ang

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…

In this paper we analyze the motion of charged particles in a vacuum tube diode by solving linear differential equations. Our analysis is based on expressing the volume charge density as a function of the current density and coordinates…

Plasma Physics · Physics 2019-02-20 Gabriel Gonzalez , Fco. Javier Gonzalez Orozco

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

Recent studies have applied variational calculus, conformal mapping, and point transformations to generalize the one-dimensional (1D) space-charge limited current density (SCLCD) and electron emission mechanisms to nonplanar geometries;…

Applied Physics · Physics 2025-07-21 Allen L. Garner , N. R. Sree Harsha , Amanda M. Loveless

Simulations have shown that space-charge effects can lead to regular modulation of photoemitted beams in vacuum diodes with gap sizes on the order of 1 micron and accelerating voltage on the order of 1V. These modulations are in the THz…

Plasma Physics · Physics 2015-01-06 Marjan Ilkov , Kristinn Torfason , Andrei Manolescu , Ágúst Valfells

Diodes used in most high power devices are inherently open. It is shown that under such circumstances, there is a loss of electromagnetic radiation leading to a lower critical current as compared to closed diodes. The power loss can be…

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

Using a combination of Eulerian and Lagrangian variables we obtain some exact results and good approximation schemes for the time evolution of the electron flow from a no-current state to a final stationary current state in a planar…

Plasma Physics · Physics 2015-06-18 A. Rokhlenko , J. L. Lebowitz

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

We present results demonstrating the space charge-mediated transition between classical, diffusion-limited current and surface-conduction dominant over-limiting current in a shallow micro-nanochannel device. The extended space charge layer…

Fluid Dynamics · Physics 2015-06-30 Jarrod Schiffbauer , Uri Liel , Neta Leibowitz , Sinwook Park , Gilad Yossifon

It has been empirically observed in both experiments and particle-in-cell simulations that space-charge-dominated beams suffer strong growth in statistical phase-space area (degraded quality) and particle losses in alternating gradient…

Accelerator Physics · Physics 2009-11-11 Steven M. Lund , Sugreev R. Chawla

While space-charge-limited current measurements are often used to characterize charge-transport in relatively intrinsic, low-mobility semiconductors, it is currently difficult to characterize lightly or heavily doped semiconductors with…

Applied Physics · Physics 2020-12-02 Jason A. Röhr , Roderick C. I. MacKenzie

The maximum current that could be carried in a vacuum tube is given by the so-called Child Langmuir law. A scheme where this limit could be overcome via the pondermotive potential is proposed. The estimation shows that the limit could be…

Plasma Physics · Physics 2011-10-25 S. Son , S. J. Moon

(abbrev.) Linear acceleration emission occurs when a charged particle is accelerated parallel to its velocity. We evaluate the spectral and angular distribution of this radiation for several special cases, including constant acceleration…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Brian Reville , John G. Kirk

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

We investigate the subtle effects of diffuse charge on interfacial kinetics by solving the governing equations for ion transport (Nernst-Planck) with realistic boundary conditions representing reaction kinetics (Butler-Volmer) and…

Soft Condensed Matter · Physics 2007-05-23 A. Bonnefont , F. Argoul , M. Z. Bazant

The distribution of electric current on an electrode surface in electrolyte varies with time due to charge accumulation at a capacitive interface, as well as due to electrode kinetics and concentration polarization in the medium. Initially,…

Applied Physics · Physics 2020-01-08 Zhijie Chen , Lenya Ryzhik , Daniel Palanker