Analysis of Multilayered Periodic Structures Using a Hybrid FDTD/GSM Method


An economical algorithm for computing the scattering properties of multilayered periodic structures employing a hybrid Finite-Difference Time-Domain/Generalized Scattering Matrix (FDTD/GSM) technique is described. In this system, the constant-horizontal-wavenumber approach is employed to compute the scattering parameters of every periodic layer. An entire Floquet harmonic analysis of the periodic structure is presented, where propagation and evanescent behaviors of Floquet harmonics are studied. Further, tips for choice of upper-order harmonics for a sure layer separation are provided. The scattering matrix of every layer, together with proper Floquet harmonics, is then cascaded along with those of the opposite layers to get the generalized scattering matrix of the complete structure. The validity of this algorithm was verified through several numerical examples, together with frequency-selective surfaces (FSS) with totally different periodicities and beneath totally different incidence angles. The numerical results showed sensible agreement with the results obtained from the FDTD simulation of the complete structure, whereas the new procedure saved computational time and storage.

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