Multi-Band-Stop Filter for Single-Photon Transport Based on a One-Dimensional Waveguide Side Coupled with Optical Cavities

A model of a multi-band-stop filter is proposed for single-photon transport, using a one-dimensional waveguide side coupled with a series of optical cavities. Its transmission behavior is theoretically studied by a real-space model Hamiltonian and is found to depend on cavity mode frequencies, cavity relative phases, as well as cavity number and the coupling strength between the waveguide and the optical cavities. With proper cavity-mode frequencies and relative phases, the proposed model shows multi-band-stop regions and a rectangular transmission spectrum. Based on these phenomena, optical filters with more than one band-stop regions are simulated with gold material in the THz and communication band.