PARTICULARITIES OF USING THEE METHODS OF MATRIX PROGRAMMING IN THE MATHEMATICAL MODELS OF HIGH VOLTAGE GLOW DISCHARGE ELECTRON SOURCES

Possibilities and particularities of using of arithmetic-logic equations in complex models of high voltage glow discharge electron sources are considered in the article. Such electron sources are find wide application in electronic industry, device production and mechanic engineering for electron beam welding, brazing, annealing of produced items, for deposition of composed ceramics films and coatings, as well as for refining of refractory materials with using of electron-beam refusing in the soft vacuum. Main problem of designing of technological high voltage glow discharge electron sources is absence of complex physical-mathematic models. This fact is caused by complicity of physical processes, taking place in the discharge gap at conditions of low and middle vacuum, and it generally holding back the elaboration and providing in industry such advanced electron sources. Complex physic-mathematic model of high voltage glow discharge electron sources, based on apply­ ing of arithmetic-logic relations and methods of matrix programming, is proposed in the article. Main physical processes, taking place in the high voltage glow discharge, as well as mathematic means for describing these processes, and main items of elect­ ron gun, are considered. Mathematic relations for proposed model are written in the form of arithmetic-logic equations. The results of simulation of distribution of elect­ ric field in the discharge gap, distribution of power density of electron beam in the fo­ cus and guiding of electron beam in the equipotential channel, are presented. Its have been shown, that using of arithmetic-logic relations is significantly simplified realiza­ tion of proposed physic-mathematic model with using the means of matrix program­ ming. Possibilities of providing parallel calculations are also analyzed.