the new design and simulation of an optical add drop filter based on hexagonal photonic crystal single ring race track resonator

in this paper, using annular resonator we have designed an adding and dropping filter light based ontwo-dimensional photonic crystals. the shape of ring resonator filter adding and dropping that wehave proposed is race track. this filter has a hexagonal lattice structure of silicon bars withrefractive index 3/46 that is located in the context of air with refractive index 1. transmissionefficiency and quality coefficient of our proposed filter are respectively 94% and 310. finite differencemethod in two-dimensional time domain (2-d fdtd) used for normalized transmission spectra ofphotonic crystal ring resonator and to calculate the photonic band, plane wave expansion method(pwe) has been used.