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The nonlocal coupling effect between a one-dimensional waveguide (1DW) and aside optical cavity (SOC) is studied. We first find the real-space Hamiltonianof the nonlocal-coupling system of the 1DW and SOC, and then derive out anequation determining the energy of the hybridization state between the 1DW andSOC modes and an analytic formula for the single-photon transmission. Throughthem, we recognize that the single-photon transmission-dip position can bechanged by adjusting the SOC size and the coupling strength between the 1DW andSOC. The transmission spectra strongly depends on the nonlocal-couplingfunction between the 1DW and SOC, and holds an asymmetry line shape. At last,we simulate the asymmetry of the single-photon transmission by a gold-basedwaveguide coupled with a rectangular SOC.

Nonlocal coupling effects on single-photon transmission in a one-dimensional waveguide interacted with a side optical cavity