Finite-element formulation in terms of the electric-field vector for electromagnetic waveguide problems
Abstract
A vector finite-element method for the analysis of anisotropic waveguides with off-diagonal elements in the permeability tensor is formulated in terms of all three components of the electric field. In this approach, spurious, nonphysical solutions do not appear anywhere above the 'air-line'. The application of this finite-element method to waveguides with an abrupt discontinuity in the permittivity is discussed. In particular, it is discussed how to use the boundary conditions of the electric field at the interface between two media with different permittivities. To show the validity and usefulness of this formultion, examples are computed for dielectric-loaded waveguides and ferrite-loaded waveguides.
- Publication:
-
IEEE Transactions on Microwave Theory Techniques
- Pub Date:
- October 1985
- DOI:
- 10.1109/TMTT.1985.1133148
- Bibcode:
- 1985ITMTT..33..900K
- Keywords:
-
- Electric Fields;
- Electromagnetic Wave Transmission;
- Finite Element Method;
- Permittivity;
- Vector Analysis;
- Waveguides;
- Anisotropic Media;
- Boundary Conditions;
- Boundary Value Problems;
- Dielectric Permeability;
- Discontinuity;
- Ferrites;
- Propagation Modes;
- Electronics and Electrical Engineering