Eigenmodes of a Toroidal Cavity with a Conducting Separating Wall

The eigenmodes of a toroidal cavity with a separating wall are examined in the light of theory and experiment. Excellent agreement between the predicted resonant frequency of 1.148 GHz corresponding to a 4-period generating function and the experimentally observed frequency is found. The exact solution of Maxwell's equations in toroidal systems with a separating wall is presented and the eigenfrequencies are experimentally measured on a toroidal cavity with major and minor radii of respectively 12.5 cm and 10.0 cm.