Study of 2-D photon crystal Fano slab filters for biological sensing

A new compact optical Fano filter suitable for biological sensing is proposed, which patterns photon crystal in single crystalline silicon nanomembranes （SiNMs） and transferring onto transparent glass substrates. The effects of air hole size and silicon thickness on the transmission characteristics of new filter are numerically investigated by using three-dimensional finite-difference time-domain （FDTD） technique, the spectral response is also studied by back-filling bio-liquid. The results show that the dip wavelength wil shift toward longer wavelength by either reducing air hole radius or filling bioliquid. The number of dips will inereasc with the increase of silicon thickness. The size of proposed filter can be less than I mm^2.