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Efficient Recursive Convolution Schemes for the Accurate FDTD Modeling of Graphene Interband Contribution via Complex Conjugate Pairs

The accurate numerical modeling of graphene surface conductivity due to the interband contribution is presented in this paper. In particular, a precise vector-fitting technique is utilized for the decomposition of the analytical conductivity function into complex conjugate pairs. Then, a proper recursive convolution scheme is developed to efficiently incorporate the prior approximation in the conventional FDTD algorithm.