Title page for ETD etd-06302009-040248
|Type of Document
||Johnston, Scott B
||Dielectric resonator in the presence of a lossy conductor
||Master of Science
|Davis, William A.
|Besieris, Ioannis M.
|Date of Defense
This thesis develops a method for obtaining the complex resonant frequency of a post dielectric
resonator in the presence of a lossy conductor. A full field analysis is performed on an infinite
dielectric rod from which the complex propagation constant and modal solutions are found.
Using a single dominant mode (HEMll), the boundary conditions at the end of the resonator are
enforced, to obtain a complex reflection coefficient. Using the propagation constant from the
infinite dielectric rod and the reflection coefficient derived from considering the dielectric-air
interface at the resonator ends, a two dimensional search is performed to find the complex
frequency for which the gain/phase criterion of the resonator is satisfied. In the final step,
boundary conditions are enforced for a lossy conductor at a distance Az from the dielectric which
yields the objective -- the complex resonate frequency of a post dielectric in close proximity of a
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