Optical Lattices are evolving from an information carrier to a programmable medium in which topology, structure and propagation are dynamically coupled. Here we investigated longitudinal manipulation of optical lattices generated by a six-aperture spiral array whose azimuthal phase is imprinted with a topological charge l. By varying l from 1 to 7 in simulations, we sculpted the longitudinal lattices into Hexagonal, Kagome and Honeycomb structures whose transverse phase profiles are uniquely encoded by topological phase configurations. The results demonstrated that the phase profiles execute a longitudinal pulsation, while all higher-order vortices converge to a stable zero state after a geometry-dependent length z. During the longitudinal variations, the measured phase-lattice exhibits the correspondences of 6π-Honeycomb, ±4π-Kagome, and ±2π-Hexagon, enabling predictive design of reconfigurable photonic crystals and topologically protected registers. Our results establish the six-aperture spiral as a compact diffractive engine for coherent lattice reconfiguration and open a route to longitudinal light-matter interfaces.
Liu et al. (Thu,) studied this question.