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Ordered atomic arrays trapped in the vicinity of nanoscale waveguides offeroriginal light-matter interfaces, with applications to quantum information andquantum non-linear optics. Here, we study the decay dynamics of a singlecollective atomic excitation coupled to a waveguide in differentconfigurations. The atoms are arranged as a linear array and only a segment ofthem is excited to a superradiant mode and emits light into the waveguide.Additional atomic chains placed on one or both sides play a passive role,either reflecting or absorbing this emission. We show that when varying thegeometry, such a one-dimensional atomic system could be able to redirect theemitted light, to directionally reduce or enhance it, and in some cases tolocalize it in a cavity formed by the atomic mirrors bounding the system.

Single collective excitation of an atomic array trapped along a waveguide: a study of cooperative emission for different atomic chain configurations