Simulation-Assisted Efficient Computation of the Dispersion Diagram of Periodic Structures: A comprehensive overview with applications to filters, leaky-wave antennas and metasurfaces

On the Benefits of Glide Symmetries for Microwave Devices

“…As is well known, most of the distinctive and useful applications of periodic structures come from the appearance of bands in their dispersion diagrams [21]- [24]. Hence, the numerical computation of these dispersion diagrams has been an essential task in the analysis and/or design of periodic structures for long [25]- [35], and still is a subject of intense research [19], [36]- [41]. In the context of periodic structures with higher symmetries, many of their most salient features can be directly drawn from a simple reading of their dispersion diagram [6], [17], [20], [41], [42].…”

Accurate Characterization and Design Guidelines of Glide-Symmetric Holey EBG

“…Here, a good numerical convergence of the multimodal approach is achieved by taking N = 5 modes at each physical port. It should be mentioned that although a waveguide-port higher order mode excited below its cutoff frequency is evanescent, its modal fields can be required for describing the global propagation and attenuation properties; fact that has also been validated in [26] and [27]. As shown in Fig.…”

“…1(b) is modeled as a 4N-port network with its four terminal planes placed on the side faces of the square lattice, each one related to the first N significant modes, as shown in Fig. 1(c [26], [27] ⎡…”

“…the following explicit relations can be used: as long as that impedance value is the same for the same mode at both input and output ports [27], namely, as long as…”

“…In this work, a simulation-assisted generic approach [23]- [27] is applied to analyze the glide-symmetric holey metasurface, presenting excellent accuracy and a very fruitful physical insight. Similar methods have also been adopted in the analysis of conventional periodic structures [28]- [33].…”