The net emission current for a uniform plane thermionic emitter is determined for a range of voltages, temperatures, and various values of the work function. Poisson’s equation is self-consistently solved, using numerical techniques, without any additional phenomenological assumptions. This work accurately specifies the net current in the transition region between space-charge-limited and temperature-limited emission, and we present the first determination of the shape of the interelectrode potential there. A comparison with earlier approximate techniques is also included.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.