A magnetopause that separates two regimes of different flow, additional to
the separation of a magnetic field from a field-free plasma, gives rise to
the formation of asymmetric Stokes profiles. Using a simple two-layer model
atmosphere, where one layer comprises a magnetic field, the other being fi
eld-free, it is shown by analytical derivation that a wide variety of Stoke
s V profiles can be produced, having amplitude asymmetries deltaa in the ra
nge -infinity less than or equal to deltaa less than or equal to infinity.
These include two-humped V profiles, which have two lobes of equal sign. Fo
r the most simple models, the asymmetry depends on the ratio of continuum i
ntensity to the Planck radiation intensity of the magnetic layer at the wav
elength of the spectral line under consideration, and on the line depth. Tw
o-humped profiles (|deltaa|>1) require the temperature of the magnetic laye
r to surpass the temperature of the line-core forming region, implying a te
mperature inversion, so that the V profile is partially in emission. The co
nfrontation of this formation scenario with properties of observed one-lobe
profiles of quiet-Sun network regions is inconclusive due to insufficient
spatial resolution and lack of a sufficient sample of simultaneously record
ed Stokes spectral lines of varying line depths. It seems, however, to be i
n good agreement with the observed frequent occurrence of abnormal V profil
es of the very strong Na I D-2 and D-2 spectral line. A possible observatio
nal verification for the present formation scenario of abnormal Stokes V pr
ofiles and a novel method of Stokes inversion are discussed.