A new approach, the multipole theory (MT) method, is described for the comp
utation of axisymmetric modes (TE0 and TM0 modes) in rotationally symmetric
cavities. The MT formulation of the eigenvalue problem related to the reso
nant frequencies is derived. Representative computational examples, includi
ng dual-mode conductor-loaded cavity filters and a cavity loaded with an in
ner conductor of complex shape, are given to validate the theory and to dem
onstrate the degree of its efficiency. (C) 2001 John Wiley & Sons, Inc.