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In this article a mathematical model of multi-tip field cathode is presented. The field emitters periodic system for rectangular lattice serves as a field cathode on a flat substrate. A flat anode is parallel to the substrate. A unit cell with the individual field emitter is considered to calculate the electrostatic potential distribution. The effect of the field emitter on the distribution of the...
In this paper a mathematical model of the electrostatic quadrupole lens is presented. The quadrupole lens consist of four equiform electrodes of an infinite length and each of these electrodes is a part of the circular cylinder. The variable separation method is used to solve the boundary-value problem for the Laplace equation in plane polar coordinates. The solution of initial value-boundary problem...
In the present paper we solve some problems of field emission cathodes mathematical modeling and the electron guns for vacuum electronics. The supposed shape of the field emission cathode was either ''sphere-on-cone'' or ''sphere-on-spindle'' (as a cathode) on the sphere substrate and the spherical segment (as an anode).
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