Title :
Errors in finite-element formulation for lossy waveguides
Author :
Mohamed, Magdy Z. ; Jarem, John M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Alabama Univ., Huntsville, AL, USA
Abstract :
A numerically efficient finite-element procedure is developed for solving general waveguide structures loaded with isotropic materials. The procedure is straightforwardly derived from the vectorial Helmholtz wave equation. In this procedure, a formulation derived in terms of the transverse magnetic field components, satisfying Maxwell´s divergence equation and satisfying the boundary condition, is adopted. The eigenvalue of the final matrix equation corresponds to the propagation constant, while the eigenvector represents the corresponding propagation field mode. A dielectric-filled rectangular waveguide with highly conductive walls is studied, and the error induced by using the finite-element method is analyzed and studied in detail. This error is compared with that obtained in previous work by others. It is concluded that this efficient computer-aided solution procedure can be used in the analysis of electromagnetic wave propagation in an anechoic chamber
Keywords :
computer aided analysis; dielectric-loaded waveguides; eigenvalues and eigenfunctions; finite element analysis; matrix algebra; rectangular waveguides; waveguide theory; Maxwell´s divergence equation; anechoic chamber; boundary condition; computer-aided solution; conductive walls; dielectric-filled rectangular waveguide; eigenvalue; eigenvector; electromagnetic wave propagation; finite-element formulation; finite-element method; finite-element procedure; isotropic materials; loaded waveguides; lossy waveguides; matrix equation; propagation constant; propagation field mode; transverse magnetic field; vectorial Helmholtz wave equation; waveguide structures; Boundary conditions; Computer errors; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Finite element methods; Magnetic fields; Magnetic materials; Maxwell equations; Partial differential equations; Waves;
Conference_Titel :
Southeastcon '90. Proceedings., IEEE
Conference_Location :
New Orleans, LA
DOI :
10.1109/SECON.1990.117796
