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Open AccessArticle

Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes

1
Information Processing and Telecommunications Center, Universidad Politécnica de Madrid, 28040 Madrid, Spain
2
Departamento de Teoría de la Señal, Telemática y Comunicaciones, Universidad de Granada, 18071 Granada, Spain
3
Sorbonne Université, CNRS, Laboratoire de Génie Electrique et Electronique de Paris, 75252 Paris, France
4
Université Paris-Saclay, CentraleSupélec, CNRS, Laboratoire de Génie Electrique et Electronique de Paris, 91192 Gif-sur-Yvette, France
5
Division for Electromagnetic Engineering, School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden
6
Microwaves Group, Department of Applied Physics 1, Escuela Técnica Superior de Ingenieria Informatica, Universidad de Sevilla, 41012 Sevilla, Spain
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(5), 1600; https://doi.org/10.3390/app10051600
Received: 30 December 2019 / Revised: 22 January 2020 / Accepted: 18 February 2020 / Published: 28 February 2020
(This article belongs to the Special Issue Advanced Active and Passive Metasurfaces)
This paper studies wave propagation in a periodic parallel-plate waveguide with equilateral triangular holes. A mode-matching method is implemented to analyze the dispersion diagram of the structure possessing glide and mirror symmetries. Both structures present an unexpected high degree of isotropy, despite the triangle not being symmetric with respect to rotations of 90°. We give some physical insight on the matter by carrying out a modal decomposition of the total field on the hole and identifying the most significant modes. Additionally, we demonstrate that the electrical size of the triangular hole plays a fundamental role in the physical mechanism that causes that isotropic behavior. Finally, we characterize the influence of the different geometrical parameters that conform the unit cell (period, triangle size, hole depth, separation between metallic plates). The glide-symmetric configuration offers higher equivalent refractive indexes and widens the stopband compared to the mirror-symmetric configuration. We show that the stopband is wider as the triangle size is bigger, unlike holey structures composed of circular and elliptical holes where an optimal hole size exists. View Full-Text
Keywords: metasurfaces; periodic structures; equilateral triangular holes; mode-matching; dispersion analysis; glide symmetry; mirror symmetry; isotropy metasurfaces; periodic structures; equilateral triangular holes; mode-matching; dispersion analysis; glide symmetry; mirror symmetry; isotropy
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MDPI and ACS Style

Alex-Amor, A.; Valerio, G.; Ghasemifard, F.; Mesa, F.; Padilla, P.; Fernández-González, J.M.; Quevedo-Teruel, O. Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes. Appl. Sci. 2020, 10, 1600.

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