Robust geometric phase of Bloch sphere deformation in quasiphase matched structures

We consider the adiabatic geometric phase (AGP) in sum frequency generation process under undepleted pump approximation. The Bloch sphere is stretched or compressed by adjusting modulation wave vector, Δ, which one of control parameters quasiphase matching (QPM). In this paper, two kinds parametric rotation schemes on are studied: elliptical and wedge rotation. find that AGP generated related to length Δ axis ellipse, but there a certain point where independent, while shows great stability does not depend shape ellipsoid. results further demonstrate superior flexibility scheme, helps suppress uncertainty AGPs.