金属辐射体冷场电子发射的解析处理
Analytical treatment of cold field electron emission from a nanowall emitter
摘要:
本文给出了一个经典电子球冷场电子发射的初等近似解析处理。一个简单的模型是用来带出一些基本的物理一类场致发射体的量子限制效应存在横向的发射方向。一个高层次的方法,制定CFE方程比通常的Fowler-Nordheim型(FN型)方程更一般,并适用于经典的Brackall。如果隧道层足够薄,则会发生显著的横向能量量子化效应,并影响理论CFE方程的整体形式;此外,隧道势垒形状随着离表面的距离而在局部场值中表现出“下降”。一个保角变换技术被用来推导出轴上隧穿概率的解析表达式。
英文摘要:
This paper presents an elementary, approximate analytical treatment of cold field electron emission (CFE) from a classical nanowall. A simple model is used to bring out some of the basic physics of a class of field emitter where quantum confinement effects exist transverse to the emitting direction. A high-level methodology is presented for developing CFE equations more general than the usual Fowler-Nordheim-type (FN-type) equations, and is applied to the classical nanowall. If the nanowall is sufficiently thin, then significant transverse-energy quantization effects occur, and affect the overall form of theoretical CFE equations; also, the tunnelling barrier shape exhibits "fall-off" in the local field value with distance from the surface. A conformal transformation technique is used to derive an analytical expression for the on-axis tunnelling probability.
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