| The following thesis will be dedicated to understanding the approximation of boundary conditions for an inhomogeneous, anisotropic, two-dimensional parallelogram cavity given certain material properties and transmission mode. First, general waveguide and cavity theory will be presented as a theoretical foundation. Then, a review of Jarem's papers [2, 3] will be done where a specific cavity is defined and a trial function that represents the TE11 mode is chosen to approximate the E2 inside the cavity. A simplified equation for the approximation error will be presented and tested. Next, the analysis in Jarem's paper will be extended to approximate the TE 33 mode. Finally, the specific approximations will be generalized and analysis will be performed as to which modes offer the best approximation for the given trial function. |
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