In this work, we introduce a novel structure of one-dimensional (1D) binary photonic crystals made of periodic stacks of a dielectric layer followed by alternating graphene and dielectric stripes. The transfer matrix method (TMM) is employed to investigate the electromagnetic wave propagating in such a structure and determine the transmittance of the incident radiation. The photonic band gap width (PBGW) and its spectral location are obtained analytically as functions of the thicknesses of layers, refractive index gradient, graphene chemical potential, number of periods and angle of incidence. Based on the results obtained, the proposed structures could be utilized in designing various tunable devices such as modulators, tunable filters, pressure sensors and logic circuits. The optical response of the proposed structure of graphene-based-crystals is found to be in the 17–60 THz frequency range which has not been investigated before.

在这项工作中，我们介绍了一种新颖的一维（1 D）二元光子晶体结构，该结构由电介质层的周期性堆叠以及交替的石墨烯和电介质条纹组成。传递矩阵法（TMM）用于研究在这种结构中传播的电磁波并确定入射辐射的透射率。光子带隙宽度（PBGW）及其光谱位置是通过分析得出层厚度，折射率梯度，石墨烯化学势，周期数和入射角的函数。基于获得的结果，所提出的结构可用于设计各种可调设备，例如调制器，可调滤波器，压力传感器和逻辑电路。所提出的石墨烯基晶体结构的光学响应被发现在17-60 THz频率范围内，这是以前没有研究过的。