Abstract
Spherical cavities are of high interest for applications because they have a high g-factor, can be easily produced and are the only form of cavities which can be analyzed exactly including dielectric and conductive losses. Electromagnetic fields and modes in a spherical cavity with a dielectric and/or conducting sphere as an inset are analyzed and discussed. The influence of dielectric losses and conductor losses as well as of the geometric parameters on the eigenvalues, on the electromagnetic fields and modes in the cavity is analyzed. Two new fundamental modes of very different behavior which have not been described in the earlier literature are found and described in detail.
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