The coupling of atomic arrays and one-dimensional subwavelength waveguidesgives rise to in- teresting photon transport properties, such as recentexperimental demonstrations of large Bragg reflection and paves the way for avariety of potential applications in the field of quantum non-linear optics.Here, we present a theoretical analysis for the process of single-photonscattering in this configuration using a full microscopic approach. Based onthis formalism, we analyze the spectral dependencies for different scatteringchannels from either ordered or disordered arrays. The de- veloped approach isentirely applicable for a single-photon scattering from a quasi-one-dimensionalarray of multilevel atoms with degenerate ground state energy structure. Ourapproach provides an important framework for including not only Rayleigh butalso Raman channels in the microscopic description of the cooperativescattering process.
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