The behavior of the Folwer-Nordheim (FN) plot is investigated for large-area emitters arrays composed of perfectly aligned single-walled carbon nanotubes (CNTs). The field emission currents are calculated based on the standard FN model using the Murphy-Good equation. The aspect ratio of the CNTs is varied such that the height of the CNT has predefined uniform or Gaussian distributions. Continuous degradation of the high-aspect-ratio CNTs is assumed to take place at predefined values of the scaled barrier field. The effects, on the FN plot behavior, of the size distribution and the scenario of the degradation of the emitter are determined and discussed. These factors are found to produce the two behaviors of the experimental FN plots, i.e. the upward and the downward bending behaviors. This work shows the possibility to expand the application of the standard FN model for the investigation of the field emission characteristics from nanoscaled emitters such as CNTs.

针对由完美对齐的单壁碳纳米管 (CNT) 组成的大面积发射器阵列，研究了 Folwer-Nordheim (FN) 图的​​行为。场发射电流是根据标准 FN 模型使用 Murphy-Good 方程计算的。碳纳米管的纵横比是变化的，使得碳纳米管的高度具有预定的均匀或高斯分布。假设高纵横比 CNT 的连续降解发生在缩放势垒场的预定值处。确定并讨论了尺寸分布对 FN 绘图行为的影响和发射器退化的情况。发现这些因素会产生实验 FN 图的两种行为，即向上和向下弯曲行为。