We have achieved efficient polarization manipulations based on dipolar interferences and lattice couplings in one-dimensional cylindrical metalattices. First, we employ the scattering asymmetry factor g to quantify the directional scattering ability and find the maximum |g|=1/2 for a cylinder with effective excitations of electric and magnetic dipoles simultaneously. Further, the strong negative-g (gp = -0.38) for p-polarization and positive-g (gs = 0.68) for s-polarization are obtained within a narrow visible band using c-Si with experimental data. Inspired by the polarization-dependent phenomena, we design a metalattice-based linear polarizer considering lattice effects with an optimal particle arrangement. The metalattice performs near-perfect reflection for p-polarized waves but with zero reflection for s-polarized waves with large extinction ratios for transmission (17 dB) and reflection (24 dB). The perfect functionalities can be attributed to the near-field lattice couplings with dipolar interferences. And, we reveal that the polarization-dependent scattering coefficients, which are sensitive to the lattice period, can be largely tuned owing to lattice effects, therefore contributing to modifying far-field scattering patterns. More specifically, the proposed linear polarizers also show robust and reliable functionalities when considering lattice imperfections, the effects of system sizes, oblique incident angles, and the tunbility for different working wavelengths. The present study paves a way to stimulate many advanced practical implements based on multipolar interferences and lattice couplings.

The present work proposes a novel method to achieve free phase propagation with unitary transmission efficiency, termed as lattice invisibility effects, based on transverse scattering in 1D cylindrical metalattices. Firstly, we extend Kerker conditions parity symmetry of electromagnetic modes, and a conciser scheme to eliminate both forward and backward scattering simultaneously is presented. Compared to sphere-like particles where the first four Mie modes are required, we find that transverse scattering can be realized here if only two resonances with similar parity symmetry have the same amplitude and opposite phase, because of reduced symmetry in cylindrical systems. Further, we generalize this concept to metalattices and propose an explicit principle to realize lattice transparency, as long as all the modes with similar parity profiles interfere destructively. The proof-of-concept demonstrations have been manifested by exciting pure degraded electric dipoles or co-exciting magnetic dipole and electric quadrupoles using SiO2@InSb or Si@InSb cylinders, respectively. Besides, the invisibility performance can be flexibly tuned by changing either the period of metalattices or the magnitude of external magnetic field. The revealed mechanisms will inspire more comprehensive study of directional scattering and free phase propagation, which can also potentially stimulate several advanced applications like optical cloaking, nanophotonic circuits, etc.