Modes of an elliptical cylindrical resonant cavity -- analytical solution
- Resource Type
- Working Paper
- Authors
- Grbić, Mihael S.
- Source
- Journal of Applied Physics 125, 224501 (2019)
- Subject
- Physics - Classical Physics
- Language
An analytical solution of the Helmholtz equation for electromagnetic field distribution in a resonant cavity with elliptic cross-section is found. We compare the frequencies of the eigenmodes with numerical and experimental values for a metallic cavity and find an excellent matching. We focus our analysis on the microwave frequency region, and show how the ellipticity of the cavity (ratio of the minor and major axes length $b/a$) influences several mode frequencies and also the $Q$-factor of the cavity. By doing so, we demonstrate how the elliptic geometry splits the degeneracy of certain modes of the circular cylindric cavity.
Comment: 10 pages, 10 figures