Synergetic full-parametric Aharonov-Anandan and Pancharatnam-Berry phase for arbitrary polarization and wavefront...

Electromagnetic devices with multiple polarization modes are urgently needed in remote sensing detection and radar imaging due to their ability to obtain scattering information from targets through manipulation of full-parametric Jones matrix components (J _xx , J _xy , J _yx , J _yy ). Although metasurfaces exhibit exceptional capability for polarization control, they typically facilitate conversion between specific linearly polarized (LP) and circularly polarized waves on Poincaré sphere. Here, we find that identical phases in two co-polarized components is exactly half of the sum of phases in two cross-polarized components by deriving Jones matrix J _AAL with full-parametric Aharonov-Anandan (AA) phase Jones matrix. On this basis, a novel spin-decoupled paradigm is proposed by merging of AA phase and Pancharatnam-Berry (PB) phase mechanisms. Such a paradigm in diatomic metasurface is promised to achieve elegant amplitude-phase controlling and generate arbitrary polarized waves. For verification, two types of meta-devices were designed, fabricated, and experimentally characterized. Compared to the combination of propagation and PB phase, the proposed method enables simultaneous broadband arbitrary LP-to-LP conversion and wavefront control with a relative bandwidth of 43.5 %. Our strategy establishes theoretical foundation for spin-decoupled phase manipulation and amplitude-phase control of AA phase, providing a solid platform and guidance for the design of devices with arbitrary polarization and wavefront control.