  We describe a highly robust method, applicable to both electromagnetic and
matter-wave beams, that can produce a beam consisting of a lattice of orbital
angular momentum (OAM) states coupled to a two-level system. We also define
efficient protocols for controlling and manipulating the lattice
characteristics. These protocols are applied in an experimental realization of
a lattice of optical spin-orbit beams. The novel passive devices we demonstrate
here are also a natural alternative to existing methods for producing
single-axis OAM and spin-orbit beams. Our techniques provide new tools for
investigations of chiral and topological materials with light and particle
beams.
