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We consider the adiabatic geometric phase (AGP) in the sum frequency generation process under the undepleted pump approximation. The Bloch sphere is stretched or compressed by adjusting the modulation wave vector, ∆, which is one of the control parameters of quasiphase matching (QPM). In this paper, two kinds of parametric rotation schemes on the sphere are studied: elliptical rotation and elliptical wedge rotation. We find that the AGP generated in the elliptical rotation is related to thedoi:10.1109/jphot.2022.3177687 fatcat:nnbcfkpmxned7atnbodctyh72u