Term of Award

Spring 2022

Degree Name

Master of Science, Applied Physical Science

Document Type and Release Option

Thesis (open access)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


Department of Physics and Astronomy

Committee Chair

Maxim Durach

Committee Member 1

Hau-Jian Liu

Committee Member 2

Li Ma

Committee Member 3

Kelly Patton

Committee Member 3 Email



Photonic Metamaterials is a branch of electromagnetism that has been of great interest in recent years. This is further enhanced by the introduction of micro- and nanofabrication methods capable of producing metamaterial structures with which it is possible to create specific optical phenomena. The study of iso-frequency k-surfaces is of importance when discussing optical interactions with media. Previous research found evidence of materials exhibiting k-surfaces of bi-hyperbolic nature, though they failed to find any further hyperboloid dispersions. In this thesis we describe the k-surface topologies and including tri- and tetra-hyperbolic as well as analyze the polariton-interactions that cause these hyperbolic dispersions. Furthermore, in the process of conducting this research, we also introduce a method in which the effective parameter matrix of a material may be reverse engineered from the optical characteristic matrix.

OCLC Number


Research Data and Supplementary Material