The work addresses the question of the field-dependence of the notional emission area for a field-emitter tip using computer simulation and experimental data. Based on finite-element method calculations, it was determined that for single field emitters having a given shape, there is a stable and characteristic shift of the degree of voltage in the pre-exponential voltage exponent of the field emission equation relative to the “planar” case. A power-law fit to the 3D-data was applied so as to use it in the analysis of the current-voltage data using a k-power plot (KP-plot) of semilogarithmic type. A comparison of effective emission parameters obtained from the model current-voltage characteristic with the classical Fowler–Nordheim plot, modern Murphy–Good plot, and new KP-plot is carried out. The KP-plot is subsequently used to analyze the experimental data of Tungsten emitters having a scanning emission microscope determined apex radius. The new semilogarithmic analysis reveals that the apex radius of curvature is within the observed range.

中文翻译：

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考虑到发射区域对施加电压的功能依赖性，处理单尖端发射器的实验电流-电压特性

该工作使用计算机模拟和实验数据解决了场发射器尖端的名义发射区域的场依赖性问题。基于有限元法计算，确定对于具有给定形状的单个场发射器，场发射方程的指前电压指数中的电压度数相对于“平面”存在稳定且特征性的偏移“ 案件。应用适合 3D 数据的幂律，以便使用k-分析电流-电压数据半对数类型的幂图 (KP-plot)。对从模型电流-电压特性获得的有效发射参数与经典 Fowler-Nordheim 图、现代 Murphy-Good 图和新的 KP-图进行了比较。KP 图随后用于分析具有扫描发射显微镜确定的顶点半径的钨发射器的实验数据。新的半对数分析表明顶点曲率半径在观测范围内。