  Employing tight-binding approximation we derive a transfer matrix formalism
for one-dimensional single photon transport through a composite scattering
center, which consists of parallel connected resonator optical waveguides. By
solving the single-mode eigenvectors of the Hamiltonian, we investigate the
quantum interference effects of parallel couplings on the photon transport
through this parallel waveguide structure. We find a perfect reflection regime
determined by the number of coupled resonator waveguides. Numerical analysis
reveals that by changing atom transition frequency, the window of perfect
reflection may shift to cover almost all incoming photon energy, indicating the
effective control of single photon scattering by photon-atom interaction.
