The concentric spherical cavity TE and TM (Transverse Electromagnetic and Transverse Magnetic) eigenvalues

The eigenvalue problem for the concentric spherical cavity has been extensively investigated. This simple system is an important starting point for a number of important practical problems. In this report, the basic field theory for the eigenmodes and eigenvalues is formulated. We investigate the effect of a lossy dielectric on these properties and determine a large number of transverse electromagnetic and transverse magnetic (TE and TM) eigenvalues as a function of the cavity dimensions. The results given in tabular as well as graphical form reveal some rather unexpected properties.