An analysis of cylindrical symmetric microwave cavity using multipole theory method

A new approach, the multipole theory(MT) method, is briefly described for the computation of the resonant frquencies in the microwave cavity with cylindrical symmetry and complicated geometry shapes at the longitudinal section. The essential concept is to represent the solution of the axisymmetric Helmholtz equation by the generalized MT formula of 3-D Helmholtz equation. The MT formulation of the resonant frequencies is derived. By calculating three engineering examples, it is shown that the MT method is an effective approach for the computation of the resonant frequencies in cylindrical symmetric microwave cavities.