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    Non-Euclidean Geometries and Transformation Optics 
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    Non-Euclidean Geometries and Transformation Optics

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    McManus_Timothy_PhD_Final_211215.pdf (43.23Mb)
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    Queen Mary University of London
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    Abstract
    The purpose of this thesis was to use the theory of transformation optics (TO) to control light along non-Euclidean surfaces. Chapter 2 provides an introduction to the fundamental theory of TO, the basics of non-Euclidean geometries, and a broad chronological overview of TO from its inception to the time this thesis was written. Chapter 3 details a novel application of Fermat's principle to cloak rotationally symmetric surface deformations from surface waves using an isotropic, all-dielectric, electrically thin material overlay. Also in this chapter, a realizable surface wave cloaking device is designed and its performance is validated. Chapter 4 builds directly upon Chapter 3 and describes how to map a rotationally symmetric at lens onto a rotationally symmetric surface deformation via an isotropic, all-dielectric, electrically thin material overlay. This chapter also includes the design and validation of two realizable surface wave lenses borne out of this approach. Chapter 5 addresses the primary limiting design factor found in Chapter 3 and 4 (rotational symmetry), by deriving from Maxwell's equations, an equivalence to handle rotationally asymmetric or more generally `arbitrary' surfaces. This work is signi cant because it provides a truly general solution to the problem of creating cloaks and illusion devices for surface wave applications. Finally, in Chapter 6 for the rst time, a direct comparative study of two distinct surface wave cloaking techniques, from Chapter 3 and Chapter 5, is conducted and the results are examined
    Authors
    McManus, Timothy Michael
    URI
    http://qmro.qmul.ac.uk/xmlui/handle/123456789/12897
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    • Theses [3321]
    Copyright statements
    The copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without the prior written consent of the author
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