In this paper, we present a new graphene plasmonic sensing structure and use the finite difference time domain method and also a graphene superconducting properties for counting the number of n-graphene layer, where 1 $\le$ n $\le$ 5. From the intensity change of the reflection of graphene plasmons excited at the boundary of graphene/white graphene layer, we can exactly estimate the number of graphene layers. The structure considered here supports surface plasmons whose dispersion properties can be harnessed by applying an electrical field to the graphene. By utilizing this feature, efficient coupling of the incident light to the surface plasmons of the structure is used for counting the number of graphene layer. Therefore, single layer graphene can be distinguished from double- and few-layer by efficient coupling condition. Also, the effects of the substrate of graphene on the reflection of the transverse electric and magnetic graphene plasmons are investigated. By applying a chemical potential of $v_g$= 0.4 eV, a compact sensor with the footprint of 0.6 nm $\times$ $10\mathrm{\mu }\mathrm{m}$ $\times$ $20\mathrm{\mu }\mathrm{m}$ is achieved. Finally, experimental setup is used to verify and validate this numerical model with good results.

在本文中，我们提出了一种新的石墨烯等离子体感测结构，并使用了时域有限差分法和石墨烯超导性质来计算n-石墨烯层的数量，其中1 $\le$ ñ $\le$5.从在石墨烯/白色石墨烯层边界激发的石墨烯等离子体激元的反射强度变化，我们可以准确估算出石墨烯层的数量。此处考虑的结构支持表面等离激元，可通过向石墨烯施加电场来利用其分散特性。通过利用该特征，入射光与结构的表面等离子体激元的有效耦合被用于计算石墨烯层的数量。因此，可以通过有效的耦合条件将单层石墨烯与双层和几层区别开来。同样，研究了石墨烯衬底对横向电和磁石墨烯等离子体激元反射的影响。通过施加化学势$v_G$= 0.4 eV，紧凑型传感器，占位面积0.6 nm $\times$ $10\mathrm{\mu }\mathrm{米}$ $\times$ $20\mathrm{\mu }\mathrm{米}$已完成。最后，实验装置用于验证和验证此数值模型，并取得良好结果。