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Dispersion properties of glide-symmetric corrugated metasurface waveguides

Published online by Cambridge University Press:  02 March 2023

Boris Fischer Open the ORCID record for Boris Fischer [Opens in a new window]  and
Guido Valerio
Boris Fischer
Affiliation:
Sorbonne Université, CNRS, Laboratoire de Génie Electrique et Electronique de Paris (GeePs), 75252, Paris, France Université Paris-Saclay, CentraleSupélec, CNRS, GeePs, 91192, Gif-sur-Yvette, France
Guido Valerio
Affiliation:
Sorbonne Université, CNRS, Laboratoire de Génie Electrique et Electronique de Paris (GeePs), 75252, Paris, France Université Paris-Saclay, CentraleSupélec, CNRS, GeePs, 91192, Gif-sur-Yvette, France
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Abstract

In this paper, a mode-matching procedure is used to prove for the first time the dispersionless behavior of glide symmetry (GS) in corrugated metasurface waveguides. Depending on their field symmetry, the Floquet harmonics have a different impact onto the frequency dispersion, which is reduced with GS when the gap between the surfaces is small. Indeed, the glide-symmetric waveguide is shown to have the same effective propagation features as a scaled mirror-symmetric waveguide with half the period and a doubled gap. We propose closed-form formulas for the effective refractive index of the glide-symmetric waveguide in the first Brillouin zone, having a small groove compared to the period. The closed-form expressions analytically prove the dispersionless behavior of GS.

Keywords

corrugated parallel-plate waveguidemetasurfacesanalytic methodsmode matchingglide symmetrybroadband
Type
MMS 2022 Special Issue
Information
International Journal of Microwave and Wireless Technologies , Volume 16 , Special Issue 1: MMS 2022 Special Issue , February 2024 , pp. 13 - 20
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Copyright
© The Author(s), 2023. Published by Cambridge University Press in association with the European Microwave Association

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References

Wang, Y, Li, J, Huang, L, Jing, Y, Georgakopoulos, A and Demestichas, P (2014) 5G mobile: spectrum broadening to higher-frequency bands to support high data rates. IEEE Vehicular Technology Magazine 9, 39–46.10.1109/MVT.2014.2333694CrossRefGoogle Scholar
Holloway, CL, Kuester, EF, Gordon, JA, O'Hara, J, Booth, J and Smith, DR (2012) An overview of the theory and applications of metasurfaces: the two-dimensional equivalents of metamaterials. IEEE Antennas and Propagation Magazine 54, 10–35.10.1109/MAP.2012.6230714CrossRefGoogle Scholar
Quevedo-Teruel, O, Chen, H, Diaz-Rubio, A, Gok, G, Grbic, A, Minatti, G, Martini, E, Maci, S, Eleftheriades, GV, Chen, M, Zheludev, NI, Papasimakis, N, Choudhury, S, Kudyshev, ZA, Saha, S, Reddy, H, Boltasseva, A, Shalaev, VM, Kildishev, AV, Sievenpiper, D, Caloz, C, Alu, A, He, Q, Zhou, L, Valerio, G, Rajo-Iglesias, E, Sipus, Z, Mesa, F, Rodriguez-Berral, R, Medina, F, Asadchy, V, Tretyakov, S and Craeye, C (2019) Roadmap on metasurfaces. Journal of Optics 21, 073002.Google Scholar
Pozar, DM (2011) Microwave Engineering, 4th ed. Hoboken, NJ: John Wiley & Sons.Google Scholar
Quevedo-Teruel, O, Ebrahimpouri, M and Ghasemifard, F (2018) Lens antennas for 5 g communications systems. IEEE Communications Magazine 56, 36–41.Google Scholar
Quevedo-Teruel, O, Valerio, G, Sipus, Z and Rajo-Iglesias, E (2020) Periodic structures with higher symmetries: their applications in electromagnetic devices. IEEE Microwave Magazine 21, 36–49.10.1109/MMM.2020.3014987CrossRefGoogle Scholar
Quevedo-Teruel, O, Chen, Q, Mesa, F, Fonseca, NJG and Valerio, G (2020) On the benefits of glide symmetries for microwave devices. IEEE Journal of Microwaves 1, 457–469.Google Scholar
Quevedo-Teruel, O, Ebrahimpouri, M and Kehn, MNM (2016) Ultrawideband metasurface lenses based on off-shifted opposite layers. IEEE Antennas and Wireless Propagation Letters 15, 484–487.10.1109/LAWP.2015.2492678CrossRefGoogle Scholar
Ebrahimpouri, M, Algaba Brazalez, A, Manholm, L and Quevedo-Teruel, O (2018) Using glide-symmetric holes to reduce leakage between waveguide flanges. IEEE Microwave and Wireless Components Letters 28, 473–475.10.1109/LMWC.2018.2824563CrossRefGoogle Scholar
Dahlberg, O, Mitchell-Thomas, RC and Quevedo-Teruel, O (2017) Reducing the dispersion of periodic structures with twist and polar glide symmetries. Scientific Reports 7, 1.Google ScholarPubMed
Alex-Amor, A, Ghasemifard, F, Valerio, G, Ebrahimpouri, M, Padilla, P, Gonzalez, JMF and Quevedo-Teruel, O (2020) Glide-symmetric metallic structures with elliptical holes for lens compression. IEEE Transactions on Microwave Theory and Techniques 68, 4236–4248.10.1109/TMTT.2020.3011004CrossRefGoogle Scholar
Ebrahimpouri, M, Rajo-Iglesias, E, Sipus, Z and Quevedo-Teruel, O (2018) Cost-effective gap waveguide technology based on glide-symmetric holey EBG structures. IEEE Transactions on Microwave Theory and Techniques 66, 927–934.Google Scholar
Chen, Q, Ghasemifard, F, Valerio, G and Quevedo-Teruel, O (2018) Modeling and dispersion analysis of coaxial lines with higher symmetries. IEEE Transactions on Microwave Theory and Techniques 66, 4338–4345.Google Scholar
Rajo-Iglesias, E, Ebrahimpouri, M and Quevedo-Teruel, O (2018) Wideband phase shifter in groove gap waveguide technology implemented with glide-symmetric holey EBG. IEEE Microwave and Wireless Components Letters 28, 476–478.10.1109/LMWC.2018.2832013CrossRefGoogle Scholar
Bagheriasl, M, Sarrazin, J and Valerio, G, Reconfigurable waveguides using glide-symmetric bed of nails: design of an all-metal switch at millimetre-wave band, arXiv:2007.08021 [eess], Jul. 2020, Accessed: 21, 2020. [Online]. Available: http://arxiv.org/abs/2007.08021.Google Scholar
Cavallo, D and Felita, C (2017) Analytical formulas for artificial dielectrics with nonaligned layers. IEEE Transactions on Antennas and Propagation 65, 5303–5311.10.1109/TAP.2017.2738064CrossRefGoogle Scholar
Valerio, G, Jackson, DR and Galli, A (2010) Formulas for the number of surface waves on layered structures. IEEE Transactions on Microwave Theory and Techniques 58, 1786–1795.10.1109/TMTT.2010.2050028CrossRefGoogle Scholar
Sipus, Z, Merkel, H and Kildal, P- (1997) Green's functions for planar soft and hard surfaces derived by asymptotic boundary conditions. Antennas and Propagation IEE Proceedings - Microwaves 144, 321–328.10.1049/ip-map:19971335CrossRefGoogle Scholar
Bosiljevac, M, Sipus, Z and Kildal, P-S (2010) Construction of Green's functions of parallel plates with periodic texture with application to gap waveguides – a plane-wave spectral-domain approach. IET Microwaves, Antennas & Propagation 4, 1799–1810.Google Scholar
Bagheriasl, M, Quevedo-Teruel, O and Valerio, G (2019) Bloch analysis of artificial lines and surfaces exhibiting glide symmetry. IEEE Transactions on Microwave Theory and Techniques 67, 2618–2628.Google Scholar
Ghasemifard, F, Ebrahimpouri, M, Norgren, M and Quevedo-Teruel, O (2017) Mode matching analysis of two dimensional glide-symmetric corrugated metasurfaces, in 2017 11th European Conference on Antennas and Propagation (EUCAP), pp. 749–751.Google Scholar
Ghasemifard, F, Norgren, M and Quevedo-Teruel, O (2018) Dispersion analysis of 2-d glide-symmetric corrugated metasurfaces using mode-matching technique. IEEE Microwave and Wireless Components Letters 28, 1–3.10.1109/LMWC.2017.2769881CrossRefGoogle Scholar
Fischer, B and Valerio, G (2021) Ultra-wideband homogenization of a glide-symmetric parallel-plate waveguide, in 2021 15th European Conference on Antennas and Propagation (EuCAP), Düsseldorf, pp. 1–4.Google Scholar
Fischer, B and Valerio, G (2022) Homogenization and Dispersion Properties of Glide-Symmetric Corrugated Metasurfaces, in 2022 Microwave Mediterranean Symposium (MMS), Pizzo Calabro, pp. 1–5.Google Scholar
Valerio, G, Ghasemifard, F, Sipus, Z and Quevedo-Teruel, O (2018) Glide-symmetric all-metal holey metasurfaces for low-dispersive artificial materials: modeling and properties. IEEE Transactions on Microwave Theory and Techniques 66, 3210–3223.10.1109/TMTT.2018.2829885CrossRefGoogle Scholar
Crepeau, PJ and McIsaac, PR (1964) Consequences of symmetry in periodic structures. Proceedings of the IEEE 52, 33–43.Google Scholar
Mittra, R and Laxpati, S (1965) Propagation in a wave guide with glide reflection symmetry. Canadian Journal of Physics. 43, 353–372.10.1139/p65-032CrossRefGoogle Scholar
Hessel, A, Chen, MH, Li, RCM and Oliner, AA (1973) Propagation in periodically loaded waveguides with higher symmetries. Proceedings of the IEEE 61, 183–195.Google Scholar
Fischer, B and Valerio, G (2021) Broadband dispersionless glide-symmetric parallel-plate waveguide with small corrugations, in 2021 15th European Conference on Antennas and Propagation (EuCAP), Düsseldorf, pp. 1–4.Google Scholar
Ghasemifard, F, Norgren, M, Quevedo-Teruel, O and Valerio, G (2018) Analyzing glide-symmetric holey metasurfaces using a generalized floquet theorem. IEEE Access 6, 71743–71750.10.1109/ACCESS.2018.2882056CrossRefGoogle Scholar
Fischer, B and Valerio, G (2022) Quasi-static homogenization of glide-symmetric holey parallel-plate waveguides with ultra-wideband validity. IEEE Transactions on Antennas and Propagation 70, 10569–10582.10.1109/TAP.2022.3187527CrossRefGoogle Scholar