Mathematical modelling of the electric field of carbon nanotube arrays used in cold cathode electron emission devices

Abstract

Influence of the ratios of the carbon nanotube arrays geometrical parameters (height to radius – H/R, distance between the individual nanotube to height – S/H) on their properties to enhance the electric field strength at their tips and to accumulate electrostatic charge have been investigated. It was done with the help of their electric field mathematical modelling. Such modelling has shown that dependences of the emission current density on S/H ratio have maximums that are determined both by H/R and the applied electric field strength levels.