Physic-mathematical model of geometry of high voltage glow discharge electron-optical systems (HVGD EOS), formed profile electron beams, is proposed in the article. Well-known principles, was used early for modeling of glow discharge electron guns, generated the point-focus electron beams, are use as foundation of proposed model. Details of symmetry of electrodes systems are taken into account for forming the mathematical equations. Plasma boundary position in formed EQS model is defmed from equivalent one-dimensional discharge model and recalculated with taken into account the volume, which occupied the anode plasma corresponding to EQS spatial geometry. Influence of EOS geometry parameters to plasma boundary position and its emission properties have been investigated theoretically.
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