Numerical Modelling of Higher-Symmetric Periodic Structures with Hexagonal Lattice

This paper presents the development of the multi-modal transfer matrix method (MMTMM) to deal with periodic structures with hexagonal unit cells and higher symmetries. The method is able to calculate complex modal solutions, including the attenuation in the stopband. A key feature is the reformulati...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2024-11, p.1-1
Main Authors: Petek, Martin, Rico-Fernandez, Jose, Vasquez, Jorge Alberto Tobon, Valerio, Guido, Mesa, Francisco, Quevedo-Teruel, Oscar, Vipiana, Francesca
Format: Article
Language:English
Subjects:
Attenuation
Boundary conditions
Couplings
Dispersion
Electromagnetic bandgap materials
Geometry
Lattices
Method of moments
numerical analysis
periodic structure
Periodic structures
Scattering
Transmission line matrix methods
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Summary:This paper presents the development of the multi-modal transfer matrix method (MMTMM) to deal with periodic structures with hexagonal unit cells and higher symmetries. The method is able to calculate complex modal solutions, including the attenuation in the stopband. A key feature is the reformulation of the MMTMM into an eigenvalue problem whose eigensolutions in the complex plane can be systematically obtained for the boundaries of the irreducible Brillouin zone, where the phase-shift conditions are linearly dependent. The obtained phase-shift dispersion diagrams are verified against a commercial software, while the attenuation constant is validated with a developed method of moments. A glide-symmetric structure and a mirror half-turn structure are investigated. The latter is found to possess a highly isotropic stopband with a fractional bandwidth of 94.9%, wider than previously reported for holey structures. Finally, the operation of the unit cell is demonstrated with a practical implementation for preventing leakage in a waveguide flange.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2024.3499742