Non-Euclidean Geometries and Transformation Optics
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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 MichaelCollections
- Theses [3831]