Dissertation/ Thesis
Models for the analysis and simulation of glide-symmetric metasurface waveguides ; Modèles pour l’étude et la simulation de guides d'onde à métasurfaces avec symétrie de réflexion glissée
| العنوان: | Models for the analysis and simulation of glide-symmetric metasurface waveguides ; Modèles pour l’étude et la simulation de guides d'onde à métasurfaces avec symétrie de réflexion glissée |
|---|---|
| المؤلفون: | Fischer, Boris |
| المساهمون: | Laboratoire Génie électrique et électronique de Paris (GeePs), CentraleSupélec-Sorbonne Université (SU)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Sorbonne Université, Guido Valerio |
| المصدر: | https://theses.hal.science/tel-03967466 ; Electromagnetism. Sorbonne Université, 2022. English. ⟨NNT : 2022SORUS390⟩. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Metamaterials, Wave propagation, Dispersion, Symmetries, Waveguide, Electromagnetism, Métamatériaux, Propagation d'onde, Symétries, Guide d'onde, Electromagnétisme, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism |
| الوصف: | A periodic waveguide is glide-symmetric (G-S) when it is invariant after a translation of half a period and a mirroring operation with respect to the propagation plane. G-S metasurface waveguides meet some of the challenges of modern wireless communication systems. Among other features, they offer wide-band behavior for high data rates through reduced frequency dispersion. However, they are difficult to model due to strong multi-modal coupling between the metasurfaces. In this thesis, we develop new modeling tools to better understand the properties of G-S parallel-plate waveguides (PPW) and to accelerate their design. We use these tools for the design of a reconfigurable phase-shifter in integrated glide symmetry (GS). A mode-matching method derives the dispersion equation of corrugated and holey PPWs. Solving this equation yields the Brillouin diagram of the waveguides, in which the first dispersion curve is almost linear due to the low-dispersive behavior of GS. We show that this behavior is due to the impact of the Floquet harmonics in the dispersion equation. This allows us to prove the linearity of the G-S dispersion curve by simplifying all the frequency dependencies in the dispersion equation. This works as long as one or two modes are enough to describe the field variation at the surface of the corrugations, which is the case for small and medium corrugations. Additionally, it is shown that a G-S corrugated PPW with small gap has the same dispersive behavior as a nGS waveguide with half the period and twice the gap. In order to accelerate the parametric studies of G-S devices, a quasi-static homogenization method is developed for metasurface waveguides. The dispersion equation is simplified and solved in the quasi-static regime. A closed-form formula for the effective refractive index of corrugated and holey PPWs is found. Given the low dispersion of GS, this formula accurately describes the waveguide over a wide band. Additionally, we combine it to an in-house two-dimensional finite-element method in ... |
| نوع الوثيقة: | doctoral or postdoctoral thesis |
| اللغة: | English |
| Relation: | NNT: 2022SORUS390; tel-03967466; https://theses.hal.science/tel-03967466; https://theses.hal.science/tel-03967466/document; https://theses.hal.science/tel-03967466/file/FISCHER_Boris_these_2022.pdf |
| الاتاحة: | https://theses.hal.science/tel-03967466 https://theses.hal.science/tel-03967466/document https://theses.hal.science/tel-03967466/file/FISCHER_Boris_these_2022.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.B31C36BA |
| قاعدة البيانات: | BASE |
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edsbas BASE edsbas.B31C36BA 860 3 Dissertation/ Thesis dissertation 859.59912109375 |
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This allows us to prove the linearity of the G-S dispersion curve by simplifying all the frequency dependencies in the dispersion equation. This works as long as one or two modes are enough to describe the field variation at the surface of the corrugations, which is the case for small and medium corrugations. Additionally, it is shown that a G-S corrugated PPW with small gap has the same dispersive behavior as a nGS waveguide with half the period and twice the gap. In order to accelerate the parametric studies of G-S devices, a quasi-static homogenization method is developed for metasurface waveguides. The dispersion equation is simplified and solved in the quasi-static regime. A closed-form formula for the effective refractive index of corrugated and holey PPWs is found. Given the low dispersion of GS, this formula accurately describes the waveguide over a wide band. 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