A systematic structuring of magnetic fields over scales much smaller t
han the mean free path of photospheric photons may be responsible for
the observed asymmetrical Stokes profiles. We explore this possibility
by deriving the radiative transfer equation for microstructured magne
tic atmospheres (the MISMA approximation). This equation is subsequent
ly employed to show that very schematic MISMA scenarios for the penumb
rae of sunspots, plage and network regions, and internetwork regions p
roduce Stokes profiles that have the observed asymmetries. The details
of these model atmospheres are of secondary importance, but the ease
of generating the type of observed asymmetries with MISMAs is signific
ant, so the existence of MISMAs deserves serious consideration. Should
such microstructures exist, the techniques currently employed to infe
r properties of the solar photosphere need to be revised. MISMAs are a
lso of concern for the physics of the photosphere itself. These two to
pics are briefly discussed.