Theoretical analysis of field electron emission must consider many parameters, one of the most critical being the field enhancement factor (FEF). In a single tip form, the FEF can vary several orders of magnitude and depends only on the system geometry, when the gap length between the emitter and counter-electrode is much greater than the height of the emitter. In this work, we determine very accurate analytical expressions for the FEF of five emitters with various shapes, which are often considered in the literature: Ellipsoidal, Hemisphere-on-Cylindrical post, Hemisphere-on-Orthogonal cone, Paraboloidal, and Hyperboloidal. We map the FEF as a function of the aspect ratio with an error smaller than 2% to serve as a quick reference database. Additionally, we calculate the electric field distribution over the emitters, which can give an insight into the effective notional emission area and the influence of the emitter’s base.

Nanostructured multitip surfaces have sufficient potential to obtain the high emission currents necessary to develop stable and noninertial sources of free electrons with increased levels of permissible currents. The key to understanding the processes of formation and stability of macroscopic emission currents from these large area field emitters (LAFEs) is assessing the local characteristics of individual emission sites. Herein, a method for determining the local emission characteristics of nanoscale emission sites is developed via processing the glow pattern data and a system for rapidly recording the current–voltage characteristics of LAFEs.

This article presents, for the first time, a comparative analysis of the emission characteristics of large-area field-effect cathodes (LAFE) based on carbon nanotubes (CNTs) of various morphologies according to key parameters using a unique computerized technique. The work presents a description of a technology for creating various CNT arrays and their comprehensive structure characterization. All CNT arrays synthesized by the catalytic PECVD method on a silicon substrate showed a high degree of chemical purity under the presented technological conditions. In some cases, nanoisland films of Fe were used as a catalyst; in others, thin films of NiO were used, which were deposited on a silicon wafer by chemical vapor deposition (CVD) and atomic layer deposition (ALD), respectively. As a result of these studies, it turned out that an array with a thick CNT coating has good resistance to the action of strong electric fields, fairly good uniformity of distribution of emission centers, a fairly high selection current (2.88 mA/cm² at 4.53 V/μm), and compliance with the normal current mode according to the “orthodox” test, which makes the morphology of such structures the most promising for further technological optimization of CNT-based cathodes for various practical applications.

In this paper, a comparison of theoretical and experimental approaches to the study of large-area field electron emitters (LAFEs) was performed using the test for the correspondence of the measured volt-ampere characteristics to the ideal field emission mode (the test for “orthodoxy”). The ranges of permissible values of electric fields, which provide mainly field emission of electrons, are justified and calculated. The test for compliance with the field emission regime is integrated as one of the software modules into a computerized system for studying the emission characteristics of LAFE. The developed approach allows one to check directly in the course of the experiment whether the range of fields applied to the emitter corresponds to the “orthodoxy” criteria in a wide range of emission currents.