The polarization in isotropic radially symmetric lens and mirror syste
ms in the paraxial approximation is examined. Polarized aberrations ar
e variations in the phase, amplitude, and polarization state of the el
ectromagnetic field across the exit pupil. Some are dependent on the i
ncident polarization state and some are not. Expressions through fourt
h order for phase, amplitude, linear diattenuation, and linear retarda
nce aberrations. are derived in terms of the chief and marginal ray an
gles of incidence and the Taylor series expansion coefficients of the
Fresnel equations for reflection and transmission at uncoated and thin
-film-coated interfaces. Applications to polarization ray tracing are
discussed.