Space-Charge Limited Current in Planar and Cylindrical Crossed-Field Diodes Using Variational Calculus

Adam M. Darr; Ranajoy Bhattacharya; Jim Browning; Allen L. Garner

doi:10.1063/5.0054307

Space-Charge Limited Current in Planar and Cylindrical Crossed-Field Diodes Using Variational Calculus

Adam M. Darr, Ranajoy Bhattacharya, Jim Browning, Allen L. Garner

Electrical Engineering Department

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

Crossed-field space-charge limited current (CF-SCLC) represents the maximum stable current that can be produced in crossed-field devices (CFDs); prominent CFDs include magnetrons and cyclotrons, critical technologies in vacuum electronics. While planar crossed-field geometries have the most developed theoretical models, cylindrical geometries are far more common and useful in practical applications. CFDs are characterized by the strength of the externally applied magnetic field. Justification for the variational model and future applications are discussed.

Original language	American English
Article number	082110
Journal	Physics of Plasmas
Volume	28
Issue number	8
DOIs	https://doi.org/10.1063/5.0054307
State	Published - Aug 2021

Keywords

electron beams
radiowave and microwave technology
calculus of variations
magnetic devices
electrostatics
particle physics

EGS Disciplines

Electrical and Computer Engineering

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10.1063/5.0054307

Space-Charge Limited Current in Planar and Cylindrical Crossed-FiFinal published version, 1.48 MBLicense: Unspecified

Cite this

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title = "Space-Charge Limited Current in Planar and Cylindrical Crossed-Field Diodes Using Variational Calculus",

abstract = "Crossed-field space-charge limited current (CF-SCLC) represents the maximum stable current that can be produced in crossed-field devices (CFDs); prominent CFDs include magnetrons and cyclotrons, critical technologies in vacuum electronics. While planar crossed-field geometries have the most developed theoretical models, cylindrical geometries are far more common and useful in practical applications. CFDs are characterized by the strength of the externally applied magnetic field. Justification for the variational model and future applications are discussed.",

keywords = "electron beams, radiowave and microwave technology, calculus of variations, magnetic devices, electrostatics, particle physics",

author = "Darr, {Adam M.} and Ranajoy Bhattacharya and Jim Browning and Garner, {Allen L.}",

note = "Publisher Copyright: {\textcopyright} 2021 Author(s).",

year = "2021",

month = aug,

doi = "10.1063/5.0054307",

language = "American English",

volume = "28",

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T1 - Space-Charge Limited Current in Planar and Cylindrical Crossed-Field Diodes Using Variational Calculus

AU - Darr, Adam M.

AU - Bhattacharya, Ranajoy

AU - Browning, Jim

AU - Garner, Allen L.

PY - 2021/8

Y1 - 2021/8

N2 - Crossed-field space-charge limited current (CF-SCLC) represents the maximum stable current that can be produced in crossed-field devices (CFDs); prominent CFDs include magnetrons and cyclotrons, critical technologies in vacuum electronics. While planar crossed-field geometries have the most developed theoretical models, cylindrical geometries are far more common and useful in practical applications. CFDs are characterized by the strength of the externally applied magnetic field. Justification for the variational model and future applications are discussed.

AB - Crossed-field space-charge limited current (CF-SCLC) represents the maximum stable current that can be produced in crossed-field devices (CFDs); prominent CFDs include magnetrons and cyclotrons, critical technologies in vacuum electronics. While planar crossed-field geometries have the most developed theoretical models, cylindrical geometries are far more common and useful in practical applications. CFDs are characterized by the strength of the externally applied magnetic field. Justification for the variational model and future applications are discussed.

KW - electron beams

KW - radiowave and microwave technology

KW - calculus of variations

KW - magnetic devices

KW - electrostatics

KW - particle physics

UR - http://www.scopus.com/inward/record.url?scp=85113164871&partnerID=8YFLogxK

UR - https://scholarworks.boisestate.edu/electrical_facpubs/493

U2 - 10.1063/5.0054307

DO - 10.1063/5.0054307

M3 - Article

SN - 1070-664X

VL - 28

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 8

M1 - 082110

ER -

Space-Charge Limited Current in Planar and Cylindrical Crossed-Field Diodes Using Variational Calculus

Abstract

Keywords

EGS Disciplines

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