Analysis of longitudinal slots in ridged waveguides using a hybrid finite element: Galerkin technique
Abstract
A hybrid approach, combining the finite element method (FEM) with an integral equation formulation of the tangential electric field, is developed in this work for the solution of longitudinal slots cut in the broad wall of finite thickness of a ridged waveguide. The system of integral equations formulated at both interfaces of the slot is solved using the Galerkin approach with sinusoidal basis and testing functions. The Green's function for the internal waveguide region, as called for in the integral equation formulation, is generated numerically, utilizing the eigenvalues and eigenfunctions of the waveguide as computed by the FEM with Lagrangian fourth order polynomials. This approach is quite general, allowing for arbitrary waveguide cross sections and compositions. Computations of the slot characteristics performed in this way agree very well with previously documented as well as our own experimental results.
- Publication:
-
IEEE Transactions on Antennas and Propagation
- Pub Date:
- June 1994
- DOI:
- 10.1109/8.301703
- Bibcode:
- 1994ITAP...42..833G
- Keywords:
-
- Finite Element Method;
- Galerkin Method;
- Slot Antennas;
- Slots;
- Waveguide Antennas;
- Waveguides;
- Eigenvalues;
- Eigenvectors;
- Electric Fields;
- Green'S Functions;
- Integral Equations;
- Lagrangian Function;
- Communications and Radar