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Generation of Hermite-Laguerre-Gaussian beams based on space-variant Pancharatnam Berry phase

This paper presents a novel method for generating Hermite-Laguerre-Gaussian beams based on a spiral phase plate and a metasurface. The spiral phase plate is used to generate and modulate the dynamic phase, which has been used to generate the Laguerre Gaussian beam. The metasurface of the spatial variation can modulate the geometric phase for generating the Hermite Gaussian beam. We found Pancharatnam-Berry phase changed over the propagation of Hermite-Laguerre-Gaussian beams in free space, and the beam rotated around the phase singularities, the chirality of circular polarization of the incident beam will change. The theoretical analysis results are verified by a simple experimental system. The Pancharatnam-Berry phase provides a new degree of freedom. The study provides the theoretical and experimental basis for manipulating of the vortex light field based on the metasurface.