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PT symmetry and exceptional points in metamaterials

Gear, James Manning (2017)
Ph.D. thesis, University of Birmingham.

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Abstract

Parity-Time (PT) symmetry has recently received much attention as a promising alternative to the condition of Hermiticity. PT symmetric systems have two distinct phases where behaviour is split between Hermitian evolution where it has real eigenvalues and non-Hermitian evolution where it has complex eigenvalues. At the crossover between these two phases, there is an exceptional point: a special kind of eigenvalue degeneracy unique to non-Hermitian system which can result in interesting properties.
In this thesis, we will first review the field of metamaterials and show how they can be used to design electromagnetic potentials. We will also review the current understanding of PT symmetry and its associated effects in electromagnetism. We will then develop a new form of parity operator which can be used in conjunction with the time-reversal operator to derive new conditions on the constitutive matrix. This parity operator will then be used to understand the link between PT symmetry and exceptional points with experimental support from a metamaterial system. We will additionally look at some other applications of PT symmetry, specifically in the context of lasing and absorption, and attempt to design a structure which uses this symmetry.

Type of Work:Ph.D. thesis.
Supervisor(s):Hang Li, Jensen Tsan and Zhang, Shuang
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Physics and Astronomy
Subjects:QC Physics
Institution:University of Birmingham
ID Code:7876
This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.
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