We present a theoretical analysis of a noncollinear polarization-spectrosco
py (PS) scheme, taking into account the polarization incoherence of an arbi
trarily polarized pump beam. It is based on a light-induced anisotropy (LIA
) tensor formalism. Our most important results are analytical expression fo
r the LIA tensor, which permit classification of the nonlinear medium with
LIA in terms of the polarization properties. An expression is derived for t
he dependence of the PS-signal intensity on the beam-crossing angle, and th
e usefulness of that expression for spectroscopic purposes is demonstrated.
(C) 2001 Optical Society of America OCIS codes: 300.6420, 260.5430.