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The triode-type system on the field basis of the emitter modeling. / Televnyi, D. S.; Vinogradova, E. M.

2012. 418-420 Paper presented at 23rd Russian Particle Accelerator Conference, RuPAC 2012, Saint-Petersburg, Russian Federation.

Research output: Contribution to conferencePaperpeer-review

Harvard

Televnyi, DS & Vinogradova, EM 2012, 'The triode-type system on the field basis of the emitter modeling', Paper presented at 23rd Russian Particle Accelerator Conference, RuPAC 2012, Saint-Petersburg, Russian Federation, 24/09/12 - 28/09/12 pp. 418-420.

APA

Televnyi, D. S., & Vinogradova, E. M. (2012). The triode-type system on the field basis of the emitter modeling. 418-420. Paper presented at 23rd Russian Particle Accelerator Conference, RuPAC 2012, Saint-Petersburg, Russian Federation.

Vancouver

Televnyi DS, Vinogradova EM. The triode-type system on the field basis of the emitter modeling. 2012. Paper presented at 23rd Russian Particle Accelerator Conference, RuPAC 2012, Saint-Petersburg, Russian Federation.

Author

Televnyi, D. S. ; Vinogradova, E. M. / The triode-type system on the field basis of the emitter modeling. Paper presented at 23rd Russian Particle Accelerator Conference, RuPAC 2012, Saint-Petersburg, Russian Federation.3 p.

BibTeX

@conference{603d9a065ba6416ba610a9fdb60df513,
title = "The triode-type system on the field basis of the emitter modeling",
abstract = "The mathematical model of a cylindrical triode-type system on the basis of the field emitter is under consideration. The internal area of the system is filled of two different dielectrics. Effect of space charge is not considered. The field emitter is modeled by a charged filament of finite length, which located on the system's axis. The modulator has a form of a circular diaphragm. The Poisson equation with the given values of potentials at the electrodes is solved. The variable separation method is used to determine distribution of electrostatic potential. An unknown function of the charge density is approximated by a piecewise constant linear function. The problem of finding unknown coefficients in the potential eigenfunction expansion is reduced to the linear algebraic equations system. Numerical calculations emitter's forms are represented.",
author = "Televnyi, {D. S.} and Vinogradova, {E. M.}",
year = "2012",
month = dec,
day = "1",
language = "English",
pages = "418--420",
note = "23rd Russian Particle Accelerator Conference, RuPAC 2012, RuPAC 2012 ; Conference date: 24-09-2012 Through 28-09-2012",

}

RIS

TY - CONF

T1 - The triode-type system on the field basis of the emitter modeling

AU - Televnyi, D. S.

AU - Vinogradova, E. M.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - The mathematical model of a cylindrical triode-type system on the basis of the field emitter is under consideration. The internal area of the system is filled of two different dielectrics. Effect of space charge is not considered. The field emitter is modeled by a charged filament of finite length, which located on the system's axis. The modulator has a form of a circular diaphragm. The Poisson equation with the given values of potentials at the electrodes is solved. The variable separation method is used to determine distribution of electrostatic potential. An unknown function of the charge density is approximated by a piecewise constant linear function. The problem of finding unknown coefficients in the potential eigenfunction expansion is reduced to the linear algebraic equations system. Numerical calculations emitter's forms are represented.

AB - The mathematical model of a cylindrical triode-type system on the basis of the field emitter is under consideration. The internal area of the system is filled of two different dielectrics. Effect of space charge is not considered. The field emitter is modeled by a charged filament of finite length, which located on the system's axis. The modulator has a form of a circular diaphragm. The Poisson equation with the given values of potentials at the electrodes is solved. The variable separation method is used to determine distribution of electrostatic potential. An unknown function of the charge density is approximated by a piecewise constant linear function. The problem of finding unknown coefficients in the potential eigenfunction expansion is reduced to the linear algebraic equations system. Numerical calculations emitter's forms are represented.

UR - http://www.scopus.com/inward/record.url?scp=84890056041&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84890056041

SP - 418

EP - 420

T2 - 23rd Russian Particle Accelerator Conference, RuPAC 2012

Y2 - 24 September 2012 through 28 September 2012

ER -

ID: 45862191