A global model of the self-pulsing regime of micro-hollow cathode dischargesIn this paper, the hydrogen Balmer beta line shape from a micro-hollow gas discharge (MHGD) in argon with traces of hydrogen is used for simultaneous diagnostics of plasma and cathode sheath (CS) parameters. For this purpose, a simple model of relevant processes responsible for the line broadening is introduced and applied to the Balmer beta profile recorded from a MHGD generated in the microhole (diameter 100 lm at narrow side and 130 lm at wider side) of a gold-alumina-gold sandwich in the pressure range (100-900 mbar). The electron number density N e in the range (0.4-4.5) Â 10 20 m -3 is determined from the width of the central part of the Balmer beta line profile, while, from the extended wings of the Balmer beta profile, induced by dc Stark effect, the next three parameters are determined: the average value E a of electric field strength in the CS in the range (16-95 kV/cm), the electric field strength E 0 at the cathode surface in the range (32-190 kV/cm), and the CS thickness z g in the range (18-70 lm). All four MHGD parameters, N e , E a , E 0 , and z g , compare reasonably well with results of the modeling experiment by M. J. Kushner [J. Phys. D: Appl. Phys. 38, 1633(2005]. The results for N e are compared with other emission experiments.