A self-consistent modeling of the resonance photoplasma in pure Na and NaAr mixtures with spatial homogeneity of photoexcitation of the resonance levels of Na in the volume of a cylindrical gas cell has been carried out. The Voigt line shape and the collision broadening of the D1 and D2 lines of Na were considered. The main photoplasma parameters were calculated for the Na pressure PNa=0.0045-0.165 torr, the P_Ar/P_Na=0 and 10^k (k=1, 2 and 3) values and the gas temperature of 680 K at the pumping resonance radiation flux density F=40 W/(m2•nm). It has been established that the electron density Ne and temperature Te increase non-linearly with the growth of the PNa and reach, respectively, 6.4•1018 m-3 at P_Na=0.165 torr and P_Ar/P_Na=100 and 0.28 eV for the pure Na photoplasma. Herewith, the dependence of Te on the Ar pressure PAr is non-monotonic. It is a consequence of the cooperative action of electron inelastic collisions of the first and second kinds with Na atoms and elastic collisions with Na and Ar atoms. The comparison of the obtained results for the L=4R=0.02 m case with those calculated for the infinite cylinder case with the same R value showed the good validity of the infinite cylinder approximation. As a result of our analysis of the quenching of the resonance levels and theoretical results from the literature, it has been established that the spatial non-homogeneity of the investigated photoplasma caused by this quenching does not exceed 20% for the PNa0.1 torr and P_Ar/P_Na=0_10^3. The obtained data can be used in studies of alkali-containing photoplasmas and to create photoelectric converters based on them.