Title :
The emission system on the base of the field emitter as sphere-on-cone mathematical modeling
Author :
Kuruch, O.S. ; Vinogradova, E.M.
Author_Institution :
St.-Peterburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
The method of paired integral equations is used to solve the boundary value problem for the emission system on the base of the field emitter as sphere-on-cone. The determination of the unknown coefficients in the potential expansion with Legendre functions is reduced to the solution of the Fredholm integral equation of the second kind with a symmetrical kernel.
Keywords :
boundary-value problems; electron field emission; integral equations; Fredholm integral equation; Legendre function; boundary value problem; emission system; field emitter; paired integral equations; sphere-on-cone mathematical modeling; Anodes; Boundary conditions; Educational institutions; Electronic mail; Integral equations; Mathematical model; Physics;
Conference_Titel :
Vacuum Electron Sources Conference (IVESC), 2014 Tenth International
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5770-5
DOI :
10.1109/IVESC.2014.6892019
