The central topic of this dissertation is how to make classical light, comprised of many photons, behave in a manner similar to massive quantum particles in potentials. This document describes how one can relate classical wave variables, such as ray paths, frequency scales, and group velocities, to variables associated with classical point particles. A novel Dirac-equation formulation of Maxwell's equations will be presented. We will explain the connection between classical optical and quantum mechanical spin-orbit coupling. We describe a variety of different optical phenomena, including spin-orbit coupling in epsilon-near-zero [ENZ] metamaterials and other optical systems, Darwin terms, and other pseudo-relativistic effects. Resulting mathematical techniques can be used to describe generic optical systems with spatially varying values of μ and ϵ. Further discussed is the importance of mode-mixing in the control of polarization states of cavity fields. Also discussed is how tensor, ENZ, optical metamaterials can be constructed that give an analog of magnetic fields for light. Finally, we will discuss challenges with solving problems with a Kerr nonlinearity in ENZ materials. Additionally described are problems involved in quantizing nonintegrable optical cavities. This study is undertaken with the goal of suggesting future research directions regarding metamaterials. This dissertation includes both previously published/unpublished and co-authored material.
|Advisor:||Noeckel, Jens, Raymer, Mike|
|Commitee:||Cina, Jeff, Csonka, Paul, van Enk, Steven|
|School:||University of Oregon|
|Department:||Department of Physics|
|School Location:||United States -- Oregon|
|Source:||DAI-B 73/08(E), Dissertation Abstracts International|
|Subjects:||Electromagnetics, Optics, Theoretical physics, Materials science|
|Keywords:||Dirac equation, Dirac metamaterials, Epsilon-near-zero, Metamaterials, Quantum mechanics, Relativistic quantum particles, Relativity, Semiclassical physics|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be