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This is the first one of a series of our papers theoretically studying thecoherent control of photon transmission along the coupled resonator opticalwaveguide (CROW) by doping artificial atoms for various hybrid structures. Wewill provide the several approaches correspondingly based on Green function,the mean field method and spin wave theory et al. In the present paper we adoptthe two-time Green function approach to study the coherent transmission photonin a CROW with homogeneous couplings, each cavity of which is doped by atwo-level artificial atom. We calculate the two-time correlation function forphoton in the weak-coupling case. Its poles predict the exact dispersionrelation, which results in the group velocity coherently controlled by thecollective excitation of the doping atoms. We emphasize the role of thepopulation inversion of doping atoms induced by some polarization mechanism.Comment: 11 pages, 9 figure

Coupled cavity QED for coherent control of photon transmission: Green-function approach for hybrid systems with two-level doping