This article is cited in 8 papers

Theoretical and Mathematical Physics

Mathematical simulation of a diode system with a cylindrical field-emission tip

E. M. Vinogradova, N. V. Egorov, A. A. Klimakov

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes

Abstract: A diode system with a cylindrical field-emission tip is demonstrated. The cathode on a plane substrate represents a cylinder with a rounded tip, and the anode represents a plane. The effect of the space charge of the beam is disregarded. The geometrical sizes of the diode system serve as parameters of the problem. The distribution of the electrostatic potential over the system is determined using the method of overlapped domains that is based on separation of variables.

Received: 24.03.2014

 English version: Technical Physics, 2015, 60:2, 176–179

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