The results obtained to date by the one-dimensional theory of the emission of positive ions by a plasma are reviewed from a unified point of view. A simple and a generalized forms of the Bohm criterion are discussed. The unipolar sheath model and the two-scale theory are outlined. Kinetic and hydrodynamic models for the formation of the Debye sheath and of the ionization zone in the pre-sheath are described. It is shown that except for some artificial ionization models, the Bohm criterion is fulfilled in the equality form. The emission current from the plasma emitter is calculated in the hydrodynamic and kinetic approximations. Existing numerical codes for the simulation of positive ion sources in two and three dimensions are briefly described.

Keywords: Bohm criterion, plasma sheaths, space-charge-dominated beams, plasma simulation PACS: 41.75.Ak, 41.85.Ar, 52.25.Jm, 52.40.Kh, 52.59.Bi, 52.59.Sa, 52.65.−y (all) DOI: 10.3367/UFNe.0185.201507c.0753 URL: https://ufn.ru/en/articles/2015/7/c/ 000364717000003 2-s2.0-84944897044 2015PhyU...58..701K Citation: Kotelnikov I A, Astrelin V T "Theory of plasma emitter of positive ions" Phys. Usp. 58 701–718 (2015) BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks PT Journal Article TI Theory of plasma emitter of positive ions AU Kotelnikov I A FAU Kotelnikov IA AU Astrelin V T FAU Astrelin VT DP 10 Jul, 2015 TA Phys. Usp. VI 58 IP 7 PG 701-718 RX 10.3367/UFNe.0185.201507c.0753 URL https://ufn.ru/en/articles/2015/7/c/ SO Phys. Usp. 2015 Jul 10;58(7):701-718 Received: 26th, March 2015, revised: 7th, May 2015, accepted: 12th, May 2015 Оригинал: Котельников И А, Астрелин В Т «Теория плазменного эмиттера положительных ионов» УФН 185 753–771 (2015); DOI: 10.3367/UFNr.0185.201507c.0753