This paper presents a mathematical analysis of the radiation transfer mechanism in non-equilibrium low-temperature gas discharge plasma, using the example of a mercury-argon discharge model at low pressure. The authors propose an approach to solving the system of kinetic equations and radiation transfer in discharge plasma based on cubic discretization of the radiation source. The method is validated using the geometry of a closed coaxial cylinder with a point excitation source at its centre, simulating the radiation of a magnetron’s TEM wave. Significant findings of the study include obtaining solutions for an arbitrary contour of the spectral line and considering the interaction phenomenon of shielding by an inner cylinder in coaxial geometry. The obtained results contribute to a deeper understanding of radiation transfer processes in plasma and open new prospects for further research in this field. 1. Boulos, M.I., Fauchais, P.L., Pfender, E. Plasma Radiation Transport / In: Handbook of Thermal Plasmas, Springer, Cham, 2015.
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• radiation transfer
• low-temperature plasma modelling
• gas discharge plasma