Mode Counting in Rectangular, Cylindrical, and Spherical Cavities With Application to Wireless Measurements in Reverberation Chambers

The accuracy of wireless measurements in a reverberation chamber depends on the mode density. Reverberation chambers are normally rectangular in shape, but could also be made cylindrical or spherical. In this paper, modes in classical rectangular, cylindrical, and spherical cavities are counted over large frequency ranges in order to determine the number of modes over a specific excitation bandwidth as a function of frequency, i.e., mode density. The cavities are then judged by these mode densities for applications to reverberation chambers.