title: Free-space propagation of optical coherence lattices and periodicity reciprocity.
abstract: We examine paraxial propagation of recently introduced optical coherence lattices in free space and demonstrate a novel phenomenon of periodicity reciprocity between their intensity and coherence properties. The periodicity reciprocity arises because an aperiodic source intensity profile of an optical coherence lattice evolves into a lattice-like far-field profile, while the periodic spectral degree of coherence at the source becomes aperiodic on free-space propagation. We discuss how the discovered periodicity reciprocity can make optical coherence lattices attractive for robust free-space optical communications.
authors.forename: Liyuan
authors.initials: L
authors.lastname: Ma
authors.forename: Sergey A
authors.initials: SA
authors.lastname: Ponomarenko