TY - JOUR
T1 - Analysis of Longitudinal Slots in Ridged Waveguides Using a Hybrid Finite Element galerkin Technique
AU - Garb, Khona
AU - Meyerova, Rachel
AU - Kastner, Raphael
N1 - Funding Information:
Manuscript received September 17, 1993; revised December 27, 1993. This work was supported in part by the Ramotnsrael Ministry of Industry and Commerce joint fund under Contract 12875. The authors are with the Department of Physical Electronics, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel. IEEE Log Number 9402819.
PY - 1994/6
Y1 - 1994/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0028444573&partnerID=8YFLogxK
U2 - 10.1109/8.301703
DO - 10.1109/8.301703
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AN - SCOPUS:0028444573
SN - 0018-926X
VL - 42
SP - 833
EP - 839
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 6
ER -