FDTD Application on the PBG of 1D and 2D Photonic Crystal

The finite-difference time-domain (FDTD) method is a general method for numerically solving the time-dependent Maxwell's equations, which is structured on the scale of the wavelength. So it is particularly suitable to simulate light field dynamics and propagate in finite photonic crystal band structures. In this paper, it was applied to analyze the photonic band gap of 1-dimension and 2-dimension photonic crystal. Different factors were included, such as arrangement structures, the parameters of dielectric constant, circular dielectric column structure and air hole structure. Through the calculation and stimulation of FDTD method, the spectral reflectance curves were presented, which contributed to the analysis of photonic band gap. As these factors were changed correspondingly, the variation trend of photonic band gap was gained. Then certain structures and parameters of the photonic crystal could be used to obtain wider photonic band gap and to provide theoretical basis for photonic crystal design and application.