Strömgren radii and the radius-dependent H and He ionization fractions calculated with our 3d radiative transfer method (solid lines) compared to those from our spherically symmetric method. For the latter we use either the on-the-spot approximation (dashed lines) or a correct description of the diffuse radiation field (dotted lines). In the upper panels the ionizing source is a T = 30 000 K blackbody emitting 1049 hydrogen-ionizing photons per second, representing a late O-type star (the temperature of the gas has been fixed to 7500 K), and in the lower panels a 65 000 K blackbody emitting 8 × 1051 hydrogen-ionizing photons per second, representing a VMS in the lower panel (the temperature of the gas has been fixed to a value of 10 000 K). The gas densities are nH = 10 cm-3 for the plots on the left and nH = 10-3 cm-3 for those on the right.
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