Filtering performance of one-dimensional cylindrical doped photonic crystal

To study the filtering properties of the cylindrical one-dimensional doped photonic crystal, expressions of light wave modes propagating in the crystal are obtained considering the crystal’s radial restriction. Variations of defect mode in TE and TM waves with mode quantum number and impurity optical thickness are calculated. The frequency of defect mode for both waves increases with the mode quantum number increasing, and for both waves of the same pattern it decreases with the impurity optical thickness increasing. The features can be used to realize multi-channel filtering and tunable filtering, respectively.