Role of resonance radiation transfer in the ionization balance of positive column discharge

摘要

A method is proposed for the joint solution of the balance equation of charged particles, which is described by a differential equation of ambipolar diffusion, and the balance equation of resonant atoms, which is described by the integral equation of radiative transfer. The method is associated with the replacement of the differential and integral operators by a system of linear algebraic equations. The difference between the results of the exact solution of the problem and the conventional solutions in the approximation of an effective probability of the resonance transition is demonstrated. The effect of the higher diffusion and radiation modes in the transition to the contracted discharge regime is noted.