Selection Rules for Circularly Polarized Waves in Nonlinear Optics

Abstract
The symmetry properties of nonlinear optical susceptibilities in the electric dipole approximation for collinear circularly or elliptically polarized light waves have been analyzed on the basis of group-theoretical considerations. Selection rules are obtained for the nonlinear interaction of arbitrary order along any symmetry axis of the 32 crystallographic groups and the three-dimensional rotation group.