geometrical-optics theory. [ 7 ] Although the intrinsic PSHE was found signifi cantly enhanced by the (spin-independent) phase gradients at carefully designed meta-surfaces (artifi cial ultra-thin metamaterials composed by planar units with tailored properties exhibiting extraordinary capabilities to control light propagations), [8][9][10][11][12][13][14][15][16][17] the measured ratio between the transverse displacement of spin-polarized photons and their traveling distance is still very small (≈10 −2 ). [ 12 ] In a parallel line, strong PSHE was discovered at a particular class of meta-surfaces that can scatter spin-polarized lights to different directions, [13][14][15][16] which is analogous to the extrinsic SHE discovered in electron systems. [ 3 ] The PSHE of this type can be very pronounced because the "transverse forces" acting on the spin-polarized photons come from the (spindependent) phase gradient (comparable to the wave vector of light in vacuum) on the meta-surface, which is realized at subwavelength scales in a fully controllable manner. [13][14][15][16] In sharp contrast to the intrinsic PSHE for which a semi-geometrical-optics theory is suffi cient, [ 12 ] the extrinsic PSHE can only be understood based on the full-wave Maxwell equations where wave interferences play very important roles. [13][14][15][16] However, wave interferences can also form unwanted zero-order modes after scatterings by meta-surfaces, so that the devices realized so far all suffer loweffi ciency problem: typically only a small portion (theoretical limit 25%) of incident spin-polarized photons can be anomalously defl ected by the meta-surfaces yielding the PSHE. [ 14,15,18,19 ] Here we show that in principle a giant PSHE with nearly 100% effi ciency can be realized at meta-surfaces satisfying certain criterion, which is derived from a general Jones matrix analysis. Such a criterion is approachable from two different routes, leading to two types of meta-surfaces with distinct symmetry properties. While the idea is realizable at general frequencies, as a proof of concept, here we design and fabricate two realistic microwave samples and perform experiments to demonstrate that both can realize PSHE with ≈90% effi ciency within a broad frequency bandwidth (≈10-14 GHz). Finally, we experimentally demonstrate that our meta-surfaces can work as effi cient and broadband polarization detectors as one illustration of many potential applications of our fi ndings.
Results and Discussion
Criterion to Realize PSHE with 100% Effi ciencyWe start from analyzing the electromagnetic (EM) properties of the building block (meta-atom) of our meta-surfaces. As shown in Figure 1 a, consider a generic slab, representing a 2D array Photonic spin Hall effect (PSHE; i.e., spin-polarized photons can be laterally separated in transportation) gains increasing attention from both science and technology, but available mechanisms either require bulky systems or exhibit very low effi ciencies. Here it is demonstrated that a giant PSHE with ≈100% effi ciency can...