Investigations of generalized Pancharatnam-Berry phase in all-dielectric metasurfaces

As one of the main approaches to implement phase gradient in metasurfaces, Pancharatnam-Berry (PB) phase originated from the spin–orbit interaction (SOI) of light has attracted enormous interest during the past several decades. Different from classical PB phase in linear optics that equals to twice the rotational angle of anisotropic elements for half wave plate distance and circular polarization, the recently proposed generalized PB phase indicates that phase gradient equals to multiple times the rotation angle could be achieved by high-order symmetry metallic meta atoms. Here, we show that the generalized PB phase can also be implemented in all-dielectric metasurfaces with higher efficiency than their metallic counterparts. Besides, by merging generalized PB phase and propagation phase, several functional devices are designed that the symmetric performance of PB phase can be decoupled. Moreover, a detailed comparison between meta atoms with C2, C3, and C6 rotational symmetries is conducted to illustrate the difference between classical and generalized PB phase. These results may further supplement the concept of generalized PB phase and could find many applications in optics and photonics. .