We explore the origin of very high or 100% circular polarization in OH
maser emission in star-forming regions. General expressions are devel
oped describing the interaction of polarized maser radiation with the
masing molecules, treating saturation of the molecular populations usi
ng a semiclassical theory, in which the maser radiation is treated cla
ssically and the response of the molecules quantum-mechanically. This
theory is an extension of Field and Gray 1988, which ignored polarizat
ion phenomena. The treatment of the transport of polarized maser radia
tion is briefly set out, where the analysis is based on earlier work o
f Goldreich et al. 1973, Landi Degli'Innocenti 1987, Rees 1987. Attent
ion is drawn to the phenomenon of magnetic beaming (Gray and Field 199
4). A brief description is given of an extensive model for the calcula
tion of OH magnetic hyperfine populations, involving 384 levels of OH,
corresponding to energies up to 1100 K. This model uses the Sobolev o
r Large Velocity Gradient approximation, substantially modified to inc
lude effects of polarized radiation transfer. The model also includes
a full treatment of FIR line overlap. The model is coupled to the theo
ry of saturation and polarized radiation transfer. Assuming an ordered
uniform magnetic field over the scale size of the maser zone, solutio
ns yield the factor of amplification of maser rays as a function of ma
ser gain length for any chosen angle, theta, of a maser ray to the dir
ection of the magnetic field. Results are shown for two sets of physic
al conditions appropriate to maser zones in star-forming regions. Comp
etitive gain between magnetic substate transitions favours the emergen
ce of sigma-rays, which yield elliptically or circularly polarized mas
er radiation, and the suppression of pi-rays, which would yield linear
ly polarized emission. A simplified analysis is given showing that sig
ma-rays at low theta amplify over the shortest gain lengths and will t
end, through saturation, to suppress amplification in all pi-rays, and
also in sigma-rays at high theta. This semiquantitative argument show
s that masers will form very highly or 100% circularly polarized emiss
ion. We also show that maser beams may be less strongly polarized in t
he line wings. The explanation of the origin of 100% circular polariza
tion remains however incomplete in the absence of a quantitative beami
ng model, taking account of the competition between rays both in the s
ame and in different transitions, travelling at different angles to th
e direction of the magnetic field. The frequent absence of Zeeman pair
s for specific maser spots, or a general dissimilarity between Ihc and
the spectra, also awaits the development of such a model, which may i
nclude velocity gradients along the path of maser amplification.