Open AccessLaplace transform current density convolution finite‐difference time‐domain formulation for the modelling of 1D graphene
Author(s) -
Ahmad Mohaira,
Yang Lixia
Publication year - 2017
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2016.0899
Subject(s) - graphene , laplace transform , convolution (computer science) , current density , inverse laplace transform , finite difference time domain method , time domain , mathematical analysis , materials science , finite difference method , finite difference , mathematics , physics , computer science , optics , nanotechnology , quantum mechanics , machine learning , artificial neural network , computer vision
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.