The study of band-gap structure and character of one-dimensional doped photonic crystal

Based on the transfer matrix method,the realationship of band-gap characters and structure parameters of one-dimensional photonic crystal are researched numerically.It is shown that,photonic band-gap is decided by photonic crystal structure.One basic periodic structure has no band gap in one-dimensional photonic crystal.With the increase of basic periodic number,photonic band-gap structures are gradually formed,there is no conduction band in every centre of forbidden band.When impurity doping in the photonic crystal,a narrow conduction band is appered in the centre of every forbidden band,and with the increase of impurity refractive index,the depth of conduction band becomes shallow gradually.These characters of one-dimensional photonic crystal are applied to designs of filter and optical resonant cavity.