Markov-Airy method for electromagnetic fields in layered structures and microsphere-stabilized planar resonators

In this work, a new technique to calculate the behavior of electromagnetic fields in layered structures is presented. Based upon keeping track of reflections throughout the structure, this technique is a special case of the method of moments. Analysis of layered scatterers, waveguides, and resonators is presented for structures possessing rectangular, cylindrical, and spherical symmetry. In rectangular coordinates, exact formulas are presented for calculating the group delay, group delay dispersion, and third-order dispersion upon reflection or transmission. For the first time, exact formulas are derived for calculating the dispersion of a planar waveguide up to third order. The algorithm has been implemented and subsequently validated by testing it against analytic solutions. In the second section of the thesis, a new method of constructing a cavity is demonstrated. A microsphere is placed in between two high-reflecting mirrors. Depending on the separation of the mirrors, the spheres were observed to either lower or raise the lasing threshold. Models of the cavity were developed and agree with observed data. By self-assembling spheres, a laser array is demonstrated.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical & Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2016

Author dc:creator

• Galvin, Thomas C.

Contributors dc:contributor

• Eden, James G
• Carney, Paul S
• Braun, Paul V
• Liu, Gang L

• mirror
• waveguide
• dispersion
• microlaser
• microsphere

Statement dc:rights

• Copyright 2015 Thomas Galvin

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/89273

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/89273