▎ 摘　　要

In this paper, the principle of the transfer matrix method (TMM) is applied to derive the dispersion relation of electromagnetic wave propagation in cylindrical photonic crystals (CPCs), and we further deduce the conditional equations for exciting the optical Tamm state (OTS) in the one-dimensional (1D) CPCs based on the excitation conditions for OTS in 1D photonic crystals. Both H-and E-polarization are involved. After that, four CPCs are designed with graphene as the main defect layer to verify the correctness of the formula, and the effects of different defect layer structures, dielectric thickness, chemical potential, and phenomenological scattering rate on the dispersion curve are discussed, separately. In contrast, differences due to defect layer structure and dielectric thickness are more easily to be observed. The chemical potential of graphene dependence on the k rho-omega curves is more likely to be a kind of positive correlation. While phenomenological scattering rate has the weakest effect on the results.