One of the important parameters of the single-tip emission system is the total emission current from the tip. To obtain the distribution of the field enhancement factor over the tip surface, we provided comsol simulation for different tip shapes. Current-voltage characteristics are obtained by integrating the current density over the emitter surface. Several types of current density formulas with different degrees of accuracy were used. The basic criterion for the calculation of the peak current was the satisfaction of the apex electric field to field emission test conditions. A “hemisphere on a cylindrical post” emitter was shown to offer compelling advantages in both total emission current and threshold voltage values. The comparison of the effective values of the field enhancement factor and emission area with the apex field enhancement factor and formal emission area is carried out.

中文翻译：

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模拟基本尖端形状及其有效场发射参数

单尖端发射系统的重要参数之一是来自尖端的总发射电流。为了获得尖端表面上场增强因子的分布，我们提供了comsol模拟不同的尖端形状。电流-电压特性是通过对发射极表面的电流密度进行积分获得的。使用了几种具有不同精度的电流密度公式。计算峰值电流的基本标准是顶点电场对场发射测试条件的满足。“圆柱柱上的半球”发射器被证明在总发射电流和阈值电压值方面都具有引人注目的优势。进行了场增强因子和发射面积的有效值与顶点场增强因子和正式发射面积的比较。