  When the quasi-phase matching (QPM) parameters of the $\chi^{(2)}$ nonlinear
crystal rotate along a closed path, geometric phase will be generated in the
signal and idler waves that participate in the nonlinear frequency conversion.
In this paper, we study two rotation schemes, full-wedge rotation, and
half-wedge rotation, of the QPM parameters in the process of fully nonlinear
three-wave mixing. These two schemes can effectively suppress the uncertainty
in creating the geometric phase in the nonlinear frequency conversion process
when the intensity of the pump is depleted. The finding of this paper provides
an avenue toward constant control of the geometric phase in nonlinear optics
applications and quantum information processing.
