Transmission of an arbitrarily polarized plane wave by an arbitrarily
oriented spheroid in the short-wavelength limit is considered in the c
ontext of ray theory. The transmitted electric field is added to the d
iffracted plus reflected ray-theory electric field that was previously
derived to obtain an approximation to the far-zone scattered intensit
y in the forward hemisphere. Two different types of cross-polarization
effects are found. These are (a) a rotation of the polarization state
of the transmitted rays from when they are referenced with respect to
their entrance into the spheroid to when they are referenced with res
pect to their exit from it and (b) a rotation of the polarization stat
e of the transmitted rays when they are referenced with respect to the
polarization state of the diffracted plus reflected rays. (C) 1996 Op
tical Society of America