Mathematical Modeling of Field Emission From a Microscale-Size Cathode to a Vacuum

IF 2.9 2区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Electron Devices Pub Date : 2025-02-17 DOI:10.1109/TED.2025.3535843

V. G. Danilov;V. D. Borisov

引用次数: 0

Abstract

In this article, we propose a numerical method for calculating solutions of the PDE (the heat equation for the cathode temperature and the continuity equation for the current density inside and outside the cathode) with discontinuous flux at the emission surface of a cathode placed in a vacuum. The discontinuity of the flux appears because of the Nottingham effect and tunneling of emitting electrons. In the present article, this approach is applied to mathematical modeling of field emission from a conic silicon cathode of small size (about ten micrometers) to a vacuum, but can be used in other problems with similar types of flux jumps.

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来源期刊

IEEE Transactions on Electron Devices 工程技术-工程：电子与电气

CiteScore

5.80

自引率

16.10%

发文量

937

审稿时长

3.8 months

期刊介绍： IEEE Transactions on Electron Devices publishes original and significant contributions relating to the theory, modeling, design, performance and reliability of electron and ion integrated circuit devices and interconnects, involving insulators, metals, organic materials, micro-plasmas, semiconductors, quantum-effect structures, vacuum devices, and emerging materials with applications in bioelectronics, biomedical electronics, computation, communications, displays, microelectromechanics, imaging, micro-actuators, nanoelectronics, optoelectronics, photovoltaics, power ICs and micro-sensors. Tutorial and review papers on these subjects are also published and occasional special issues appear to present a collection of papers which treat particular areas in more depth and breadth.