Two modes of orthogonal polarization are generally observed in the radio em
ission from pulsars. Essentially all attempts to calculate the average prof
iles of the individual modes have assumed that the modes occur separately.
We have presented evidence, however, that the modes occur simultaneously. T
herefore, we believe that "mode-separated" pulse profiles that have been pu
blished to date reveal little about the polarization properties of the indi
vidual modes. Calculating mode-separated pulse profiles for superposed orth
ogonal modes is complicated by the unknown polarization properties of the i
ndividual modes. However, the simplest model of pulsar radio emission that
can explain the wide variety in the emission's polarization is one in which
the individual modes are completely polarized. We argue that the orthogona
l modes in PSR B0525+21 and PSR B2020+28 are highly polarized and use our s
imple model to compute the average profiles of their orthogonal modes. For
both pulsars, the total intensity of the two mode profiles resembles the ov
erall pulse profile, and each profile is highly linearly polarized.