The interaction of a light wave with a relativistic ionization front i
n the presence of an applied DC magnetic field which is perpendicular
or parallel to the incident wave is considered. In both cases, four tr
ansmitted modes are generated in the magnetized plasma by an incident
linearly polarized wave. The frequency upshifts of the various modes a
re calculated and compared to the unmagnetized case. The corresponding
reflection and transmission coefficients are also obtained. Finally,
the density ripple associated with the free streaming mode in a magnet
ized plasma for the perpendicular case is discussed.