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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.


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
Thesis Availability:Restricted to Caltech community only
Research Advisor(s):
  • George, Nicholas A.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1978
Record Number:CaltechTHESIS:03122012-112325331
Persistent URL:
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:26 Dec 2012 04:40

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