Field-emission from parabolic tips: Current distributions, the net current, and effective emission area

Field emission from nano-structured emitters primarily takes place from the tips. Using recent results on the variation of the enhancement factor around the apex [Biswas et al., Ultramicroscopy 185, 1-4 (2018)], analytical expressions for the surface distribution of net emitted electrons, as well as the total and normal energy distributions are derived in terms of the apex radius R-a and the local electric field at the apex E-a. Formulae for the net emitted current and effective emission area in terms of these quantities are also obtained. Published by AIP Publishing.