On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures

Mesa, Francisco; Rodríguez-Berral, Raúl; Medina, F.

doi:10.3390/sym10080307

Cited by 42 publications

(29 citation statements)

References 46 publications

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“…In this work, all the dispersion analyses were carried out using the Eigenmode solver in CST Microwave Studio considering periodic boundaries in x-and y-directions, and electrical boundaries in the z-direction. Although there are available methods to quickly analyze glide symmetry based on the Floquet theorem [12][13][14] or equivalent circuits [11,29], these methods were not proposed to analyze this structure [30]. The dispersion diagrams only represent phase variations in the y-direction, as it is the direction in which the glide symmetry takes place.…”

Section: Methodsmentioning

confidence: 99%

One-Plane Glide-Symmetric Holey Structures for Stop-Band and Refraction Index Reconfiguration

2019

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This work presents a new configuration to create glide-symmetric structures in a single plane, which facilitates fabrication and avoids alignment problems in the assembly process compared to traditional glide-symmetric structures based on several planes. The proposed structures can be printed on the metal face of a dielectric substrate, which acts as a support. The article includes a parametric study based on dispersion diagrams on the appearance of stop-bands and phase-shifting by breaking the symmetry. In addition, a procedure to regenerate symmetry is proposed that may be useful for reconfigurable devices. Finally, the measured and simulated S parameters of 10 × 10 unit-cell structures are presented to illustrate the attenuation in these stop-bands and the refractive index of the propagation modes. The attenuation obtained is greater than 30 dB in the stop-band for the symmetry-broken prototype.

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Section: Methodsmentioning

confidence: 99%

One-Plane Glide-Symmetric Holey Structures for Stop-Band and Refraction Index Reconfiguration

2019

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“…In [26], this assumption is shown to be valid as long as d > p/2. In [29], the validity is more correctly stated in terms of higher-mode relevance. In this sub-section, we class glide-symmetric structures in two kinds, and relate this classification with the nature of the modal interaction between adjacent cells.…”

Section: B Reducible and Irreducible Glide Structuresmentioning

confidence: 97%

“…Under the assumption that each corrugation can be replaced by Marcuvitz's closed-form equivalent circuit [28], it was easily shown that the glide symmetry effect is equivalent to simply halving the spatial period. The study in [29], discussing reduced representations of several kinds of higher-symmetric periodic lines proposed in [30], has recently shown that a more correct condition for this conclusion is to neglect interactions due to localized excitation of higher-order waveguide modes.…”

Section: Introductionmentioning

confidence: 99%

Bloch Analysis of Artificial Lines and Surfaces Exhibiting Glide Symmetry

Bagheriasl

Quevedo–Teruel

Valerio

2019

IEEE Trans. Microwave Theory Techn.

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Glide-symmetric structures have recently emerged as a smart choice to design planar lenses and electromagnetic band-gap materials. We discuss here under which conditions a glide-symmetric structure is equivalent to a non-glide-symmetric structure with a reduced period. To this aim, we propose an analysis method based on network theory to efficiently derive the dispersive behavior of these periodic structures. Both phase and attenuating constants can be determined, with potential applications to both guiding and radiating structures. Retaining higher-order modal interactions among cells helps to derive the dispersive behavior of periodic structures more accurately. Furthermore, we take advantage of the higher symmetry of these structures to decrease the computational cost by considering only one half or one quarter of a unit cell instead of the entire cell. We study one and two-dimensional glide-symmetric structures and confirm the validity of our analysis with comparisons from commercial software.

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“…Simulations of the parallel plate stopband were carried out by calculating the dispersion diagram of a unit cell using the commercial software CST Microwave Studio. Alternative methodologies for calculating dispersion diagrams of these kinds of structures were presented in [20].…”

Section: Stopband Analysismentioning

confidence: 99%

Analysis of Periodic Structures Made of Pins Inside a Parallel Plate Waveguide

et al. 2019

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In this work, we have analyzed different versions of periodic structures made with metallic pins located inside a parallel plate waveguide (PPWG), varying the symmetry and disposition of the pins. The analysis focuses on two main parameters related to wave propagation. On one hand, we have studied how the different proposed structures can create a stopband so that the parallel plate modes can be used in gap waveguide technology or filtering structures. On the other hand, we have analyzed the dispersion and equivalent refractive index of the first propagating transverse electromagnetic mode (TEM). The results show how the use of complex structures made with pins in the top and bottom plates of a PPWG have no advantages in terms of the achieved stopband size. However, for the case of the propagating mode, it is possible to find less dispersive modes and a higher range of equivalent refractive indices when using double-pin structures compared to a reference case with single pins.

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On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures

Cited by 42 publications

References 46 publications

One-Plane Glide-Symmetric Holey Structures for Stop-Band and Refraction Index Reconfiguration

One-Plane Glide-Symmetric Holey Structures for Stop-Band and Refraction Index Reconfiguration

Bloch Analysis of Artificial Lines and Surfaces Exhibiting Glide Symmetry

Analysis of Periodic Structures Made of Pins Inside a Parallel Plate Waveguide

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