Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/5/1600 |
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| author | Antonio Alex-Amor Guido Valerio Fatemeh Ghasemifard Francisco Mesa Pablo Padilla José M. Fernández-González Oscar Quevedo-Teruel |
| author_facet | Antonio Alex-Amor Guido Valerio Fatemeh Ghasemifard Francisco Mesa Pablo Padilla José M. Fernández-González Oscar Quevedo-Teruel |
| author_sort | Antonio Alex-Amor |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T09:28:27Z |
| format | Article |
| id | doaj.art-70ce933f11864763a1527707c3b8f13c |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-11T09:28:27Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-70ce933f11864763a1527707c3b8f13c2022-12-22T01:13:05ZengMDPI AGApplied Sciences2076-34172020-02-01105160010.3390/app10051600app10051600Wave Propagation in Periodic Metallic Structures with Equilateral Triangular HolesAntonio Alex-Amor0Guido Valerio1Fatemeh Ghasemifard2Francisco Mesa3Pablo Padilla4José M. Fernández-González5Oscar Quevedo-Teruel6Information Processing and Telecommunications Center, Universidad Politécnica de Madrid, 28040 Madrid, SpainSorbonne Université, CNRS, Laboratoire de Génie Electrique et Electronique de Paris, 75252 Paris, FranceDivision for Electromagnetic Engineering, School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, SE-100 44 Stockholm, SwedenMicrowaves Group, Department of Applied Physics 1, Escuela Técnica Superior de Ingenieria Informatica, Universidad de Sevilla, 41012 Sevilla, SpainDepartamento de Teoría de la Señal, Telemática y Comunicaciones, Universidad de Granada, 18071 Granada, SpainInformation Processing and Telecommunications Center, Universidad Politécnica de Madrid, 28040 Madrid, SpainDivision for Electromagnetic Engineering, School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, SE-100 44 Stockholm, SwedenThis 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.https://www.mdpi.com/2076-3417/10/5/1600metasurfacesperiodic structuresequilateral triangular holesmode-matchingdispersion analysisglide symmetrymirror symmetryisotropy |
| spellingShingle | Antonio Alex-Amor Guido Valerio Fatemeh Ghasemifard Francisco Mesa Pablo Padilla José M. Fernández-González Oscar Quevedo-Teruel Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes Applied Sciences metasurfaces periodic structures equilateral triangular holes mode-matching dispersion analysis glide symmetry mirror symmetry isotropy |
| title | Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes |
| title_full | Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes |
| title_fullStr | Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes |
| title_full_unstemmed | Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes |
| title_short | Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes |
| title_sort | wave propagation in periodic metallic structures with equilateral triangular holes |
| topic | metasurfaces periodic structures equilateral triangular holes mode-matching dispersion analysis glide symmetry mirror symmetry isotropy |
| url | https://www.mdpi.com/2076-3417/10/5/1600 |
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