两个柱形场致发射体相互退偏公式的物理推导
Physics-based derivation of a formula for the mutual depolarization of two post-like field emitters
摘要：
最近的场增强因子（FEF）从多个发射器的分析表明，去极化效应是更持久的发射器之间的间隔比原来假设的。已经表明，在足够大的分离，FEF的分数减少与分离的立方幂的倒数衰减，而不是指数衰减。对于任何形状的柱状发射体，场发射文献中的现有公式还没有预测包括技术关注范围$0<c/h\lesssim5$（$c$是间隔，$h$是发射体的高度）和$c\rightarrow\infty$的FEF的分数减少的行为。在这封信中，我们使用第一性原理推导出一个简单的双参数公式分数减少，可以感兴趣的实验建模和解释的FEF从小集群的发射器或阵列在小和大的分离。对于测试的结构，数值和分析数据之间的协议是$\sim1\%$。
英文摘要：
Recent analyses of the field enhancement factor (FEF) from multiple emitters have revealed that the depolarization effect is more persistent with respect to the separation between the emitters than originally assumed. It has been shown that, at sufficiently large separations, the fractional reduction of the FEF decays with the inverse cube power of separation, rather than exponentially. The behavior of the fractional reduction of the FEF encompassing both the range of technological interest $0<c/h\lesssim5$ ($c$ being the separation and $h$ is the height of the emitters) and $c\rightarrow\infty$, has not been predicted by the existing formulas in field emission literature, for post-like emitters of any shape. In this letter, we use first principles to derive a simple two-parameter formula for fractional reduction that can be of interest for experimentalists to modeling and interpret the FEF from small clusters of emitters or arrays in small and large separations. For the structures tested, the agreement between numerical and analytical data is $\sim1\%$.
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