A theory is presented for the development of circular polarization as radio
waves propagate through the turbulent, birefringent interstellar medium. T
he fourth order moments of the wave field are calculated, and it is shown t
hat unpolarized incident radiation develops a nonzero variance in circular
polarization. A magnetized turbulent medium causes the Stokes parameters to
scintillate in a nonidentical manner. A specific model for this effect is
developed for the case of density fluctuations ina uniform magnetic field.