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

Galvin, Thomas C.

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https://hdl.handle.net/2142/89273 Copy

Description

Title

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

Author(s)

Galvin, Thomas C.

Issue Date

2015-09-11

Director of Research (if dissertation) or Advisor (if thesis)

Eden, James G

Doctoral Committee Chair(s)

Eden, James G

Committee Member(s)

• Carney, Paul S
• Braun, Paul V
• Liu, Gang L

Department of Study

Electrical & Computer Engineering

Discipline

Electrical & Computer Engineering

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

Ph.D.

Degree Level

Dissertation

Keyword(s)

• mirror
• waveguide
• dispersion
• microlaser
• microsphere

Abstract

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.

Graduation Semester

2015-12

Type of Resource

text

Permalink

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

Copyright and License Information

Copyright 2015 Thomas Galvin

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