On the Counting of Modes in Rectangular Cavities

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Abstract
Several previous attempts to enumerate the eigenmodes in empty rectangular cavities by numerical computation have produced incorrect results, apparently due to a misunderstanding regarding the partial distributions of TE and TM modes. A brief review of the underlying physical principles involved in mode counting is given, along with a presentation of an experimentally verified computer algorithm which illustrates the theory. Revised and extended cavity design tables have been compiled using this algorithm and are given. Numerical and analytical mode distribution calculations are discussed in terms of their utility ni design and analysis of microwave heating cavities.