Title page for ETD etd-01172009-063528

Type of Document Master's Thesis
Author Lampshire, Gregory B.
URN etd-01172009-063528
Title Review of random media homogenization using effective medium theories
Degree Master of Science
Department Electrical Engineering
Advisory Committee
Advisor Name Title
de Wolf, David A. Committee Chair
Besieris, Ioannis M. Committee Member
Brown, Gary S. Committee Member
  • Wave equation
Date of Defense 1992-10-15
Availability restricted

Calculation of propagation constants in particulate matter is an important aspect of wave propagation analysis in engineering disciplines such as satellite comnlunication, geophysical exploration, radio astronomy and material science. It is important to understand why different propagation constants produced by different theories are not applicable to a particular problem. Homogenization of the random media using effective medium theories yields the effective propagation constants by effacing the particulate, microscopic nature of the medium. The Maxwell-Gamet and Bruggeman effective medium theories are widely used but their limitations are not always well understood.

In this thesis, some of the more complex homogenization theories will only be partially derived or heuristically constructed in order to avoid unnecessary mathematical complexity which does not yield additional physical insight. The intent of this thesis is to elucidate the nature of effective medium theories, discuss the theories' approximations and gain a better global understanding of wave propagation equations. The focus will be on the Maxwell-Garnet and Bruggeman theories because they yield simple relationships and therefore serve as anchors in a sea of myriad approximations.

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