A COMPARATIVE-STUDY OF 2 INTEGRAL-EQUATION FORMULATIONS OF TE MODES IN CIRCULAR RIDGED WAVE-GUIDE

We present and compare two integral-equation formulations of the TE ei genvalue problem of a ridged circular waveguide. In the E-formulation, an integral equation for the tangential electric field E-phi is deriv ed and solved by the moment method using basis functions which include the edge conditions. The H-formulation relies on an integral equation for the axial magnetic field H-z, which is also solved by the moment method and basis functions with edge conditions. Spurious roots are en countered in the E-formulation whereas the H-Formulation is free from spurious roots but requires larger matrices. Results from both formula tions are compared with previously published data and analytic results for limiting cases, excellent agreement is demonstrated.