Photonic band gap in a one-dimensional periodic structure with semiconductor metamaterial in the near infrared

We construct a one-dimensional photonic crystal (1DPC) by use of semiconductor metamaterial in the near infrared which is composed of Al-doped ZnO (AZO) and ZnO and dielectric material. The expressions of transmittance and field distribution are deduced by transfer matrix method, and the dispersion curves of anisotropic permittivity of semiconductor metamaterial are analyzed at different ratio of AZO and ZnO. At last simulation results are given to analyze the influence of thickness of dielectric material and incident angle on the transmittance of the proposed PC.