Mathematical modeling of a diode system with a spherical field cathode

Mathematical modeling of a diode system with a spherical field cathode

The rotationally symmetric diode system with a field cathode is under investigation. The shape of the field cathode is sphere-on-cone. The anode is a part of a sphere. In this paper two cases are considered, when the interior of system's domain is filled with two and three different dielectrics...

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Bibliographic Details
Published in:2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR) pp. 1 - 2
Main Authors: Novikova, Valeriya S., Vinogradova, Ekaterina M.
Format: Conference Proceeding
Language:English
Published: IEEE 01-10-2016
Subjects:
Anodes
Cathodes
Dielectrics
Electric potential
Electrostatics
Mathematical model
Shape
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Summary:The rotationally symmetric diode system with a field cathode is under investigation. The shape of the field cathode is sphere-on-cone. The anode is a part of a sphere. In this paper two cases are considered, when the interior of system's domain is filled with two and three different dielectrics. To calculate the electrostatic potential distribution the method of separation of variables is used. The solution of the boundary-value problem for the Laplace's equation in the spherical coordinates is found an analytical form as the Legendre functions series.
DOI:10.1109/VMNEYR.2016.7880414