A Caltech Library Service

Electromagnetic wave propagation in almost periodic media


Mickelson, Alan Rolf (1978) Electromagnetic wave propagation in almost periodic media. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/SZMY-A964.


The problem of electromagnetic wave propagation in almost periodic media is investigated and a solution is obtained directly from Maxwell's equations. Techniques to evaluate this solution are developed. These techniques involve a generalization to almost periodic media of the Brillouin diagram of periodic media. The method of invariant imbedding is applied to the coupled mode equations which determine the Brillouin diagram for the purpose of transforming them to coupled Riccati equations. These coupled Riccati equations, when subjected to a single boundary condition, determine the solutions to both the periodic and almost periodic boundary value problems. These evaluation techniques are used to place in evidence similarities and differences of wave propagation in periodic and almost periodic media. It is shown that although the periodic and almost periodic theories agree in many cases of interest, there exist cases in which distinct differences appear. In cases of multi-tone perturbations, the almost periodic theory yields both simpler and more reasonable results than the periodic theory.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Electrical Engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Minor Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Papas, Charles Herach
Thesis Committee:
  • Papas, Charles Herach (chair)
  • Langmuir, Robert V.
  • Keller, Herbert Bishop
  • Bridges, William B.
Defense Date:1 January 1978
Non-Caltech Author Email:alan.mickelson (AT)
Funding AgencyGrant Number
Air Force Office of Scientific ResearchUNSPECIFIED
Record Number:CaltechTHESIS:03122012-112325331
Persistent URL:
Mickelson, Alan Rolf0000-0003-2529-8301
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6849
Deposited By: Benjamin Perez
Deposited On:12 Mar 2012 21:51
Last Modified:09 Nov 2022 19:20

Thesis Files

PDF - Final Version
See Usage Policy.


Repository Staff Only: item control page