Wideband Simulations of Periodic Structures by the Hybrid Spectral FDTD/TD-VFz Method

Gaucher, Samuel; Guiffaut, Christophe; Reineix, Alain; Cessenat, Olivier; Maze-Merceur, G.

doi:10.1109/lawp.2022.3152410

Cited by 2 publications

(2 citation statements)

References 14 publications

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“…In a first step, Floquet periodic boundary conditions (PBC) are applied around the elementary pattern of the periodic metamaterial. For all incident angles and for both polarization TE and TM, the metamaterial surface impedances are computed with the Spectral FDTD scheme [1] [2] combined with an extrapolation technique TD-VFz [3] called the hybrid SFDTD/TD-VFz scheme [4]. SFDTD method is a good choice for at least two reasons.…”

Section: Introductionmentioning

confidence: 99%

“…Second, no additional constraint is needed on the CFL criterion. Then, the hybridation with the TD-VFz technique efficiently solves the resonance problem inherent to the Spectral FDTD method to obtain accurate responses at high incidence [4]. In a second step, the frequency-dependent AD-SIBC model is also decomposed by the vector fitting (VF) technique [7] to efficiently process the time domain convolution product.…”

Section: Introductionmentioning

confidence: 99%

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Angle-Dependent Face-Centered SIBC Model of Metamaterial in Conformal FDTD Methods

Gaucher

Guiffaut

Bui

et al. 2023

IEEE Trans. Antennas Propagat.

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To control the diffraction of a target illuminated by a radar wave, one technique is to consider periodics metamaterials. When they are applied as very thin heterogeneous layers on the surface of the target, the simulation by a full wave method based on meshed model has to deal with a multiscale problem, resulting in a huge amount of unknowns. This paper proposes to apply the metamaterial as an equivalent boundary condition via the Leontovich formula. The frequency-angle-polarizationdependent model is integrated on the surface target with a conformal FDTD resolution method. To establish the surface impedance model, a pattern of the metamaterial is modelled with periodic boundary conditions. The Spectral FDTD scheme is retained because existing numerical models developed for the FDTD method can be easily adapted to this method. Then, the CFL condition of the Spectral FDTD method is not restrictive and is the one given by the standard Yee scheme. The accuracy of the new scheme is first compared with the full material FDTD meshing and the Cartesian SIBC model when the target is a plate or a cube. Finally, the computational efficiency of the proposed SIBC model is evaluated on a cylinder with comparisons between FEKO, CST software and our homemade solver.

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