Abstract
In the current work the method of radiation trapping treatment in finite coaxial cylinders using spherical coordinates is introduced. The operator of the resonant transition process is obtained explicitly in matrix form and its response to the delta function is analyzed in both hollow and solid cylinders. The influence of the radiation trapping effect is shown for the example of a model of a miniaturized non-thermal atmospheric pressure plasma jet. The results of the calculations with the developed matrix method (MM) are compared with those based on the effective probability approximation. It is shown that the use of the MM leads to significant spatial redistribution of the excited plasma species due to the non-local effects of the radiation transport mechanism.
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