Laplace transform current density convolution finite‐difference time‐domain formulation for the modelling of 1D graphene

This study proposes a method for modelling of the graphene sheets using a finite‐difference time‐domain method based on Laplace transform current density convolution. The modelling of the graphene sheets is achieved by using their effective conductivity when placed in a finite‐difference time‐domain lattice and applying Laplace transform for obtaining tangential current density on the graphene sheet and associated recursive Maxwell's equations of the tangential electric field components on the graphene sheet. The proposed numerical formulation is validated by comparing it with the analytical results. A design example of the periodic structure is developed to investigate the behaviour of the graphene sheets and its application is proposed for the reconfigurable terahertz graphene antennas.