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A finite-difference time-domain (FDTD) simulation of broadbandelectromagnetic metasurfaces based on direct in- corporation of GeneralizedSheet Transition Conditions (GSTCs) inside a conventional Yee-cell region hasbeen proposed, for arbitrary wave excitations. This is achieved by inserting azero thickness metasurface inside bulk nodes of the Yee-cell region, givingrise to three distinct cell configurations - Symmetric Cell (SC), AsymmetricCell (AC) and Tight Asymmetric Cell (TAC). In addition, the metasurface ismodelled using electric and magnetic surface susceptibilities exhibiting abroadband Lorentzian response. As a result, the proposed model guarantees aphysical and causal response from the metasurface. Several full- wave resultsare shown, and compared with analytical Fourier propagation methods showingexcellent results, for both 1D and 2D fields simulations. It is found that theTAC provides the fastest convergence among the three methods with minimumerror.

Integrated Generalized Sheet Transition Conditions (GSTCs) in a Yee-Cell  based Finite-Difference Time-Domain (FDTD) Simulation of Electromagnetic  Metasurfaces