Topological metamaterials for engineering applications

<p>Topological properties of wave systems link seemingly abstract mathematical quantities with very real physical effects. In recent years, advances in the engineering of metamaterials have allowed for the implementation and application of such effects for electromagnetic waves from radio freq...

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Main Author: Feis, J
Other Authors: Shamonina, E
Format: Thesis
Language:English
Published: 2024
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author Feis, J
author2 Shamonina, E
author_facet Shamonina, E
Feis, J
author_sort Feis, J
collection OXFORD
description <p>Topological properties of wave systems link seemingly abstract mathematical quantities with very real physical effects. In recent years, advances in the engineering of metamaterials have allowed for the implementation and application of such effects for electromagnetic waves from radio frequencies all the way to the visible range. With recent advances in the fundamental science underlying topological systems, their vast application potential due to desirable properties of topological effects such as their strongly resonant nature or remarkable robustness against disorder is moving into the spotlight. However, despite the great promise of using topological metamaterials in microwave and radio frequency applications, most work so far has been focused on fundamental and qualitative properties instead of concrete and quantitative studies of their applicability.</p> <p>The work presented here aims to address this by studying topological metamaterials supporting magnetoinductive waves, a type of excitation that is found in metamaterials comprising magnetically coupled resonant elements such as split ring resonators, with a particular focus on applying them to the construction of wireless links in the microwave and radio frequency range. To this end, a connection between magnetoinductive wave theory and the formalism of quantum theory, which the topology of matter has historically been discussed in, is established. It is shown that magnetoinductive lines may indeed host topological edge states, which are resonant modes in the stopband of the line whose existence is mandated by its topological properties. Based on this result, proposals for the application of topological edge states in wireless power transfer and wireless communication are made. Topological wireless power transfer is shown to allow for efficiencies comparable to its conventional counterpart based on propagating waves with an increased robustness against disorder as well as reduced electromagnetic pollution. Further, topological wireless communication is revealed to facilitate a significant enhancement in signal power and, in systems with sufficiently low loss and high noise, also in the Shannon capacity of the communication link. Finally, the range limitation of wireless links due to the exponentially localised nature of topological edge states is addressed by the introduction of topological relay interfaces, which enable the construction of longer links while avoiding a degradation in efficiency or signal power.</p> <p>In summary, this work studies the topological properties of magnetoinductive metamaterials and utilises them in several important engineering applications, showcasing how topological metamaterials may provide various benefits to them. </p>
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spelling oxford-uuid:6e1c81fe-00d7-4b30-b393-89f28ec743932025-03-11T08:40:00ZTopological metamaterials for engineering applicationsThesishttp://purl.org/coar/resource_type/c_db06uuid:6e1c81fe-00d7-4b30-b393-89f28ec74393EnglishHyrax Deposit2024Feis, JShamonina, EStevens, CMorris, SOh, S<p>Topological properties of wave systems link seemingly abstract mathematical quantities with very real physical effects. In recent years, advances in the engineering of metamaterials have allowed for the implementation and application of such effects for electromagnetic waves from radio frequencies all the way to the visible range. With recent advances in the fundamental science underlying topological systems, their vast application potential due to desirable properties of topological effects such as their strongly resonant nature or remarkable robustness against disorder is moving into the spotlight. However, despite the great promise of using topological metamaterials in microwave and radio frequency applications, most work so far has been focused on fundamental and qualitative properties instead of concrete and quantitative studies of their applicability.</p> <p>The work presented here aims to address this by studying topological metamaterials supporting magnetoinductive waves, a type of excitation that is found in metamaterials comprising magnetically coupled resonant elements such as split ring resonators, with a particular focus on applying them to the construction of wireless links in the microwave and radio frequency range. To this end, a connection between magnetoinductive wave theory and the formalism of quantum theory, which the topology of matter has historically been discussed in, is established. It is shown that magnetoinductive lines may indeed host topological edge states, which are resonant modes in the stopband of the line whose existence is mandated by its topological properties. Based on this result, proposals for the application of topological edge states in wireless power transfer and wireless communication are made. Topological wireless power transfer is shown to allow for efficiencies comparable to its conventional counterpart based on propagating waves with an increased robustness against disorder as well as reduced electromagnetic pollution. Further, topological wireless communication is revealed to facilitate a significant enhancement in signal power and, in systems with sufficiently low loss and high noise, also in the Shannon capacity of the communication link. Finally, the range limitation of wireless links due to the exponentially localised nature of topological edge states is addressed by the introduction of topological relay interfaces, which enable the construction of longer links while avoiding a degradation in efficiency or signal power.</p> <p>In summary, this work studies the topological properties of magnetoinductive metamaterials and utilises them in several important engineering applications, showcasing how topological metamaterials may provide various benefits to them. </p>
spellingShingle Feis, J
Topological metamaterials for engineering applications
title Topological metamaterials for engineering applications
title_full Topological metamaterials for engineering applications
title_fullStr Topological metamaterials for engineering applications
title_full_unstemmed Topological metamaterials for engineering applications
title_short Topological metamaterials for engineering applications
title_sort topological metamaterials for engineering applications
work_keys_str_mv AT feisj topologicalmetamaterialsforengineeringapplications