On Band-gap Structure of One-dimensional Doped Photonic Crystal

The properties of band-gap of one-dimensional doped photonic crystal are studied by using numerically method based on the Transfer Matrix Method.The result shows that the band-gap of one-dimensional doped photonic crystal is decided by the photonic crystal structure.There is no conduction band in the centre of forbidden band when no impurities are doped in the photonic crystal.A narrow conduction band appears in the centre of forbidden band when impurities are doped in the photonic crystal,and the depth of conduction band versus the position where impurities are doped,the depth of conduction band also versus the index of refraction of impurities when the doped position is given.A very wide of conduction band in the centre of forbidden band can be obtained by selecting a suitable doped position and the index of refraction of impurities.Such characters of one-dimensional photonic crystal can be applied to design filter and optical resonant cavity.