Explicit eigenvalue formulation for the efficient determination of the hybrid spectrum of ferrite-loaded circular waveguide

Finding several higher modes in ferrite-loaded waveguide becomes mandatory when dealing with discontinuities in accurate component design. It is well known, however, that this is a very difficult task in practice. In this contribution, we report a novel approach to this problem based on the explicit eigenvalue formulation of the vector telegrapher´s equations applied to the anisotropic uniform waveguide and discretised by using the actual modes taken at cutoff as an expanding set. Theoretical results are compared with existing ones for the case of a longitudinally magnetised fully and partially loaded waveguide with very good agreement. The resulting algorithm is compact and it requires extremely low computational effort to evaluate as many modal characteristics and vector fields as required.