RuPAC2016 - List of Authors (Vinogradova, E.M.)

Paper	Title	Page
TUPSA064	The Infinitely Thin Field Emitter Mathematical Modeling	342
	E.M. Vinogradova Saint-Petersburg State University, Saint-Petersburg, Russia N.V. Egorov St. Petersburg State University, St. Petersburg, Russia E.V. Kalaturskaja Saint Petersburg State University, Saint Petersburg, Russia
	In this work an axisymmetric diode electron-optical system based on a field emitter is simulated. The field emitter in the form of a thin filament of finite length is located on the flat substrate with the dielectric layer. The anode is a plane. The electrostatic potential distribution was found in an analytical form - in the form of Fourier-Bessel series in the whole area of the system under investigation. The coefficients of Fourier-Bessel series are the solution of the system of linear equations with constant coefficients.
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THPSC001	The Multipole Lens Mathematical Modeling	535
	E.M. Vinogradova Saint-Petersburg State University, Saint-Petersburg, Russia A.V. Starikova Saint Petersburg State University, Saint Petersburg, Russia
	In the present work the mathematical model of the multipole system is presented. The multipole system is composed of arbitrary even number of the uniform electrodes. Each of the electrodes is a part of the plane. The potentials of the electrodes are the same modulus and opposite sign for neighboring electrodes. The variable separation method is used to solve the electrostatic problem. The potential distribution is represented as the eigen functions expansions. The boundary conditions and the normal derivative continuity conditions lead to the linear algebraic equations system relative to the series coefficients.
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Paper

Title

Page

The Infinitely Thin Field Emitter Mathematical Modeling

342

E.M. Vinogradova
Saint-Petersburg State University, Saint-Petersburg, Russia
N.V. Egorov
St. Petersburg State University, St. Petersburg, Russia
E.V. Kalaturskaja
Saint Petersburg State University, Saint Petersburg, Russia

In this work an axisymmetric diode electron-optical system based on a field emitter is simulated. The field emitter in the form of a thin filament of finite length is located on the flat substrate with the dielectric layer. The anode is a plane. The electrostatic potential distribution was found in an analytical form - in the form of Fourier-Bessel series in the whole area of the system under investigation. The coefficients of Fourier-Bessel series are the solution of the system of linear equations with constant coefficients.

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

THPSC001

The Multipole Lens Mathematical Modeling

535

E.M. Vinogradova
Saint-Petersburg State University, Saint-Petersburg, Russia
A.V. Starikova
Saint Petersburg State University, Saint Petersburg, Russia

In the present work the mathematical model of the multipole system is presented. The multipole system is composed of arbitrary even number of the uniform electrodes. Each of the electrodes is a part of the plane. The potentials of the electrodes are the same modulus and opposite sign for neighboring electrodes. The variable separation method is used to solve the electrostatic problem. The potential distribution is represented as the eigen functions expansions. The boundary conditions and the normal derivative continuity conditions lead to the linear algebraic equations system relative to the series coefficients.

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)