Introduction
Omega3P is a parallel finite-element electrogmagnetic code for high-fidelity modeling of cavities. It calculates the resonant frequencies and other rf parameters of a cavity, as well as damping effects due to external couplings. It uses Nedelec-type hierarchical vector basis up to 6th order with quadratic (10-points) tetrahedral elements for improved solution accuracy.
Mathematical Modeling
Maxwell's equations in the frequency domain for a perfectly conducting cavity can be written as the following PDE,
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\nabla \times \left( \frac
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\right) - k^2 \epsilon \vec
& = 0 & on & \Omega
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