Inverse polarization of asymmetric hyper-Raman lines

Abstract

Index asymmetry in the scattering tensor bijk, related to permutation of i and whichever of the indices j or k, makes active vibrations inactive in the case of a completely symmetric tensor leading to new selection rules for hyper-Raman scattering and to the emergence of new vibrational lines in the scattered spectrum. These purely asymmetric lines correspond to the asymmetric irreducible part of weight 2 of the tensor bijk. This scattering, similarly to antisymmetric Raman, is shown to exhibit the phenomenon of inverse polarization. A detailed discussion of angular distribution and of various polarization parameters for all polarization states of the incident light is given in terms of Stokes parameters.